diff --git a/dumux/CMakeLists.txt b/dumux/CMakeLists.txt
index a97251962f8e61a825ae7d5b60ad11374bf59479..a8e7f0f33e13e29735b6d997152bd73f9b74f514 100644
--- a/dumux/CMakeLists.txt
+++ b/dumux/CMakeLists.txt
@@ -6,6 +6,7 @@ add_subdirectory("implicit")
add_subdirectory("io")
add_subdirectory("linear")
add_subdirectory("material")
+add_subdirectory("mixeddimension")
add_subdirectory("multidomain")
add_subdirectory("nonlinear")
add_subdirectory("parallel")
diff --git a/dumux/implicit/cellcentered/localjacobian.hh b/dumux/implicit/cellcentered/localjacobian.hh
index ea4b5fae11afaec5c04e53e65fe01e75a5394328..56828a566f77698e08daef5d0f959022849ba39c 100644
--- a/dumux/implicit/cellcentered/localjacobian.hh
+++ b/dumux/implicit/cellcentered/localjacobian.hh
@@ -144,9 +144,6 @@ public:
ElementBoundaryTypes elemBcTypes;
elemBcTypes.update(this->problem_(), element, fvGeometry);
- // The actual solution in the element
- auto curElemSol = this->model_().elementSolution(element, this->model_().curSol());
-
// calculate the local residual
if (isGhost)
{
@@ -173,7 +170,6 @@ public:
fvGeometry,
prevElemVolVars,
curElemVolVars,
- curElemSol,
elemFluxVarsCache,
elemBcTypes,
matrix,
@@ -201,7 +197,6 @@ protected:
const FVElementGeometry& fvGeometry,
const ElementVolumeVariables& prevElemVolVars,
ElementVolumeVariables& curElemVolVars,
- ElementSolution& curElemSol,
ElementFluxVariablesCache& elemFluxVarsCache,
const ElementBoundaryTypes& elemBcTypes,
JacobianMatrix& matrix,
@@ -239,9 +234,13 @@ protected:
}
auto&& scv = fvGeometry.scv(globalI_);
+ auto& curSol = this->model_().curSol();
auto& curVolVars = getCurVolVars(curElemVolVars, scv);
- // save a copy of the original vol vars
- VolumeVariables origVolVars(curVolVars);
+
+ // save a copy of the original privars and vol vars in order
+ // to restore the original solution after deflection
+ auto origPriVars = curSol[globalI_];
+ auto origVolVars = curVolVars;
// derivatives in the neighbors with repect to the current elements
Dune::BlockVector<PrimaryVariables> neighborDeriv(numNeighbors);
@@ -264,11 +263,11 @@ protected:
// calculate f(x + \epsilon)
// deflect primary variables
- curElemSol[0][pvIdx] += eps;
+ curSol[globalI_][pvIdx] += eps;
delta += eps;
// update the volume variables and the flux var cache
- curVolVars.update(curElemSol, this->problem_(), element, scv);
+ curVolVars.update(this->model_().elementSolution(element, curSol), this->problem_(), element, scv);
elemFluxVarsCache.update(element, fvGeometry, curElemVolVars);
if (!isGhost)
@@ -315,11 +314,11 @@ protected:
// need to calculate f(x - \epsilon)
// deflect the primary variables
- curElemSol[0][pvIdx] -= delta + eps;
+ curSol[globalI_][pvIdx] -= delta + eps;
delta += eps;
// update the volume variables and the flux var cache
- curVolVars.update(curElemSol, this->problem_(), element, scv);
+ curVolVars.update(this->model_().elementSolution(element, curSol), this->problem_(), element, scv);
elemFluxVarsCache.update(element, fvGeometry, curElemVolVars);
if (!isGhost)
@@ -370,7 +369,7 @@ protected:
curVolVars = origVolVars;
// restore the current element solution
- curElemSol[0][pvIdx] = this->model_().curSol()[globalI_][pvIdx];
+ curSol[globalI_] = origPriVars;
// update the global jacobian matrix with the current partial derivatives
this->updateGlobalJacobian_(matrix, globalI_, globalI_, pvIdx, partialDeriv);
@@ -390,16 +389,20 @@ protected:
{
// get the elements and calculate the flux into the element in the undeflected state
auto&& scv = fvGeometry.scv(globalI_);
- const auto source = this->localResidual().computeSource(element, fvGeometry, curElemVolVars, scv);
+ auto source = this->localResidual().computeSource(element, fvGeometry, curElemVolVars, scv);
+ const auto& curVolVarsI = curElemVolVars[scv];
+ source *= -scv.volume()*curVolVarsI.extrusionFactor();
for (auto globalJ : additionalDofDependencies)
{
auto&& scvJ = fvGeometry.scv(globalJ);
auto& curVolVarsJ = getCurVolVars(curElemVolVars, scvJ);
const auto& elementJ = fvGeometry.globalFvGeometry().element(globalJ);
- auto curElemSolJ = this->model_().elementSolution(elementJ, this->model_().curSol());
+ auto& curSol = this->model_().curSol();
- // save a copy of the original vol vars
+ // save a copy of the original privars and volvars
+ // to restore original solution after deflection
+ auto origPriVars = curSol[globalJ];
auto origVolVarsJ = curVolVarsJ;
// derivatives with repect to the additional DOF we depend on
@@ -416,14 +419,16 @@ protected:
// calculate f(x + \epsilon)
// deflect primary variables
- curElemSolJ[0][pvIdx] += eps;
+ curSol[globalJ][pvIdx] += eps;
delta += eps;
// update the volume variables and the flux var cache
- curVolVarsJ.update(curElemSolJ, this->problem_(), elementJ, scvJ);
+ curVolVarsJ.update(this->model_().elementSolution(elementJ, curSol), this->problem_(), elementJ, scvJ);
// calculate the source with the deflected primary variables
- partialDeriv = this->localResidual().computeSource(element, fvGeometry, curElemVolVars, scv);
+ auto deflSource = this->localResidual().computeSource(element, fvGeometry, curElemVolVars, scv);
+ deflSource *= -scv.volume()*curVolVarsI.extrusionFactor();
+ partialDeriv = std::move(deflSource);
}
else
{
@@ -439,14 +444,16 @@ protected:
// need to calculate f(x - \epsilon)
// deflect the primary variables
- curElemSolJ[0][pvIdx] -= delta + eps;
+ curSol[globalJ][pvIdx] -= delta + eps;
delta += eps;
// update the volume variables and the flux var cache
- curVolVarsJ.update(curElemSolJ, this->problem_(), elementJ, scvJ);
+ curVolVarsJ.update(this->model_().elementSolution(elementJ, curSol), this->problem_(), elementJ, scvJ);
// calculate the source with the deflected primary variables and subtract
- partialDeriv -= this->localResidual().computeSource(element, fvGeometry, curElemVolVars, scv);
+ auto deflSource = this->localResidual().computeSource(element, fvGeometry, curElemVolVars, scv);
+ deflSource *= -scv.volume()*curVolVarsI.extrusionFactor();
+ partialDeriv -= std::move(deflSource);
}
else
{
@@ -460,12 +467,10 @@ protected:
// deflections between the two function evaluation
partialDeriv /= delta;
- // restore the original state of the scv's volume variables
+ // restore the original state of the dofs privars and the volume variables
+ curSol[globalJ] = origPriVars;
curVolVarsJ = origVolVarsJ;
- // restore the current element solution
- curElemSolJ[0][pvIdx] = this->model_().curSol()[globalJ][pvIdx];
-
// update the global jacobian matrix with the current partial derivatives
this->updateGlobalJacobian_(matrix, globalI_, globalJ, pvIdx, partialDeriv);
}
diff --git a/dumux/implicit/localjacobian.hh b/dumux/implicit/localjacobian.hh
index e28c0e92b16803cda96ff1e83aa440070da5ad52..31235e13bfbcd4a87c99f5151514b398bed7b9c9 100644
--- a/dumux/implicit/localjacobian.hh
+++ b/dumux/implicit/localjacobian.hh
@@ -91,12 +91,8 @@ class ImplicitLocalJacobian
public:
// copying a local jacobian is not a good idea
ImplicitLocalJacobian(const ImplicitLocalJacobian &) = delete;
-
- ImplicitLocalJacobian()
- {
- Valgrind::SetUndefined(problemPtr_);
- }
-
+ // default constructor
+ ImplicitLocalJacobian() = default;
/*!
* \brief Initialize the local Jacobian object.
@@ -157,19 +153,13 @@ protected:
* \brief Returns a reference to the problem.
*/
const Problem &problem_() const
- {
- Valgrind::CheckDefined(problemPtr_);
- return *problemPtr_;
- }
+ { return *problemPtr_; }
/*!
* \brief Returns a reference to the problem.
*/
Problem &problem_()
- {
- Valgrind::CheckDefined(problemPtr_);
- return *problemPtr_;
- }
+ { return *problemPtr_; }
/*!
* \brief Returns a reference to the grid view.
diff --git a/dumux/implicit/properties.hh b/dumux/implicit/properties.hh
index 33b8e1b6e1094362a305840d21d9eed7a143b920..a4aff8cbeb7a4a3fb1f1e95e7b7a37e9cd515abb 100644
--- a/dumux/implicit/properties.hh
+++ b/dumux/implicit/properties.hh
@@ -100,6 +100,10 @@ NEW_PROP_TAG(HeatConductionType); //! The type for the calculation of the heat c
NEW_PROP_TAG(SolutionDependentHeatConduction); //!< specifies if the parameters for the heat conduction fluxes depend on the solution
NEW_PROP_TAG(EvaluatePermeabilityAtScvfIP); //!< if the permeability has to be evaluated at the scvf integration point (for evaluating analytical fields)
+// specify if we evaluate the permeability in the volume (for discontinuous fields)
+// or at the scvf center for analytical permeability fields (e.g. convergence studies)
+NEW_PROP_TAG(EvaluatePermeabilityAtScvfCenter);
+
// vtk output
NEW_PROP_TAG(VtkAddVelocity); //!< specifies if an element velocity it reconstructed for the output
NEW_PROP_TAG(VtkAddProcessRank); //!< specifies if the process rank should be added the output
diff --git a/dumux/implicit/propertydefaults.hh b/dumux/implicit/propertydefaults.hh
index 7c166b62cbb95c5462c10262f230a6ffa05bfc52..318406d45bed335c98b67153eac6976be5d0bd81 100644
--- a/dumux/implicit/propertydefaults.hh
+++ b/dumux/implicit/propertydefaults.hh
@@ -158,7 +158,8 @@ SET_BOOL_PROP(ImplicitBase, SolutionDependentAdvection, true);
SET_BOOL_PROP(ImplicitBase, SolutionDependentMolecularDiffusion, true);
SET_BOOL_PROP(ImplicitBase, SolutionDependentHeatConduction, true);
-//! by default we consider discontinous (at scvfs) permeability fields
+//! specify if we evaluate the permeability in the volume (for discontinuous fields, default)
+//! or at the scvf center for analytical permeability fields (e.g. convergence studies)
SET_BOOL_PROP(ImplicitBase, EvaluatePermeabilityAtScvfIP, false);
//! by default, boundary conditions are not constant over time
diff --git a/dumux/mixeddimension/CMakeLists.txt b/dumux/mixeddimension/CMakeLists.txt
new file mode 100644
index 0000000000000000000000000000000000000000..a592084f9ace910eb119f7665f06888f92311a18
--- /dev/null
+++ b/dumux/mixeddimension/CMakeLists.txt
@@ -0,0 +1,13 @@
+add_subdirectory("embedded")
+add_subdirectory("glue")
+
+install(FILES
+assembler.hh
+bulklocaljacobian.hh
+lowdimlocaljacobian.hh
+newtoncontroller.hh
+problem.hh
+model.hh
+properties.hh
+subproblemproperties.hh
+DESTINATION ${CMAKE_INSTALL_INCLUDEDIR}/dumux/mixeddimension)
diff --git a/dumux/mixeddimension/assembler.hh b/dumux/mixeddimension/assembler.hh
new file mode 100644
index 0000000000000000000000000000000000000000..8c25ab1cbfc203d5a73ca6a5a004afb26e08cc04
--- /dev/null
+++ b/dumux/mixeddimension/assembler.hh
@@ -0,0 +1,462 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ * See the file COPYING for full copying permissions. *
+ * *
+ * This program is free software: you can redistribute it and/or modify *
+ * it under the terms of the GNU General Public License as published by *
+ * the Free Software Foundation, either version 2 of the License, or *
+ * (at your option) any later version. *
+ * *
+ * This program is distributed in the hope that it will be useful, *
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of *
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
+ * GNU General Public License for more details. *
+ * *
+ * You should have received a copy of the GNU General Public License *
+ * along with this program. If not, see <http://www.gnu.org/licenses/>. *
+ *****************************************************************************/
+/*!
+ * \file
+ * \ingroup MixedDimension
+ * \brief An assembler for the global Jacobian matrix for models of mixed dimension.
+ * We assume a bulk domain and a lower dimensional domain on separate grids.
+ */
+#ifndef DUMUX_MIXEDDIMENSION_ASSEMBLER_HH
+#define DUMUX_MIXEDDIMENSION_ASSEMBLER_HH
+
+#include <dune/istl/matrixindexset.hh>
+
+#include <dumux/common/exceptions.hh>
+#include <dumux/mixeddimension/properties.hh>
+
+namespace Dumux {
+
+/*!
+ * \ingroup MixedDimension
+ * \brief An assembler for the global Jacobian matrix for models of mixed dimension.
+ * We assume a bulk domain and a lower dimensional domain on separate grids.
+ */
+template<class TypeTag>
+class MixedDimensionAssembler
+{
+ using Implementation = typename GET_PROP_TYPE(TypeTag, JacobianAssembler);
+
+ using Model = typename GET_PROP_TYPE(TypeTag, Model);
+ using Problem = typename GET_PROP_TYPE(TypeTag, Problem);
+ using Scalar = typename GET_PROP_TYPE(TypeTag, Scalar);
+
+ // obtain the type tags of the sub problems
+ using BulkProblemTypeTag = typename GET_PROP_TYPE(TypeTag, BulkProblemTypeTag);
+ using LowDimProblemTypeTag = typename GET_PROP_TYPE(TypeTag, LowDimProblemTypeTag);
+
+ using BulkGridView = typename GET_PROP_TYPE(BulkProblemTypeTag, GridView);
+ using LowDimGridView = typename GET_PROP_TYPE(LowDimProblemTypeTag, GridView);
+
+ using BulkElement = typename BulkGridView::template Codim<0>::Entity;
+ using LowDimElement = typename LowDimGridView::template Codim<0>::Entity;
+
+ using SolutionVector = typename GET_PROP_TYPE(TypeTag, SolutionVector);
+ using JacobianMatrix = typename GET_PROP_TYPE(TypeTag, JacobianMatrix);
+ using SubProblemBlockIndices = typename GET_PROP(TypeTag, SubProblemBlockIndices);
+ using BulkMatrixBlock = typename GET_PROP(TypeTag, JacobianMatrix)::MatrixBlockBulk;
+ using BulkCouplingMatrixBlock = typename GET_PROP(TypeTag, JacobianMatrix)::MatrixBlockBulkCoupling;
+ using LowDimMatrixBlock = typename GET_PROP(TypeTag, JacobianMatrix)::MatrixBlockLowDim;
+ using LowDimCouplingMatrixBlock = typename GET_PROP(TypeTag, JacobianMatrix)::MatrixBlockLowDimCoupling;
+
+ typename SubProblemBlockIndices::BulkIdx bulkIdx;
+ typename SubProblemBlockIndices::LowDimIdx lowDimIdx;
+
+ enum {
+ bulkDim = BulkGridView::dimension,
+ lowDimDim = LowDimGridView::dimension,
+ dimWorld = BulkGridView::dimensionworld
+ };
+
+ enum {
+ bulkIsBox = GET_PROP_VALUE(BulkProblemTypeTag, ImplicitIsBox),
+ lowDimIsBox = GET_PROP_VALUE(LowDimProblemTypeTag, ImplicitIsBox)
+ };
+
+public:
+ // copying the jacobian assembler is not a good idea
+ MixedDimensionAssembler(const MixedDimensionAssembler &) = delete;
+
+ MixedDimensionAssembler() : problemPtr_(nullptr) {}
+
+ /*!
+ * \brief Initialize the jacobian assembler.
+ *
+ * At this point we can assume that all objects in the problem and
+ * the model have been allocated :. We can not assume that they are
+ * fully initialized, though.
+ *
+ * \param problem The problem object
+ */
+ void init(Problem& problem)
+ {
+ // save problem pointer
+ problemPtr_ = &problem;
+
+ // initialize the multitype matrix
+ asImp_().createMatrix_();
+
+ // initialize the jacobian matrix with zeros
+ *matrix_ = 0.0;
+
+ // allocate the residual vector (right-hand-side)
+ residual_[bulkIdx].resize(problem.model().bulkNumDofs());
+ residual_[lowDimIdx].resize(problem.model().lowDimNumDofs());
+ }
+
+ /*!
+ * \brief Assemble the global Jacobian of the residual and the residual for the current solution.
+ *
+ * The current state of affairs (esp. the previous and the current
+ * solutions) is represented by the model object.
+ */
+ void assemble()
+ {
+ bool succeeded;
+ try
+ {
+ asImp_().assemble_();
+ succeeded = true;
+ }
+ catch (Dumux::NumericalProblem &e)
+ {
+ std::cout << " caught an exception while assembling:" << e.what() << std::endl;
+ succeeded = false;
+ }
+
+ if (!succeeded)
+ DUNE_THROW(NumericalProblem, "A process did not succeed in linearizing the system");
+ }
+
+ /*!
+ * \brief Return constant reference to global Jacobian matrix.
+ */
+ const JacobianMatrix& matrix() const
+ { return *matrix_; }
+
+ JacobianMatrix& matrix()
+ { return *matrix_; }
+
+ /*!
+ * \brief Return constant reference to global residual vector.
+ */
+ const SolutionVector& residual() const
+ { return residual_; }
+
+ SolutionVector& residual()
+ { return residual_; }
+
+protected:
+ // reset the global linear system of equations.
+ void resetSystem_()
+ {
+ // reset the right hand side.
+ residual_ = 0.0;
+
+ // reset the matrix
+ *matrix_ = 0.0;
+ }
+
+ // linearize the whole system
+ void assemble_()
+ {
+ resetSystem_();
+
+ // assemble the elements of the bulk problem
+ for (const auto& element : elements(problem_().bulkGridView()))
+ problem_().model().bulkLocalJacobian().assemble(element,
+ (*matrix_)[bulkIdx][bulkIdx],
+ (*matrix_)[bulkIdx][lowDimIdx],
+ residual_[bulkIdx]);
+
+ // assemble the elements of the lowdim problem
+ for (const auto& element : elements(problem_().lowDimGridView()))
+ problem_().model().lowDimLocalJacobian().assemble(element,
+ (*matrix_)[lowDimIdx][lowDimIdx],
+ (*matrix_)[lowDimIdx][bulkIdx],
+ residual_[lowDimIdx]);
+ }
+
+ void buildBulkMatrixBlocksCC_(BulkMatrixBlock& m, BulkCouplingMatrixBlock& cm)
+ {
+ // get occupation pattern of the matrix
+ Dune::MatrixIndexSet bulkPattern, bulkCouplingPattern;
+ bulkPattern.resize(m.N(), m.M());
+ bulkCouplingPattern.resize(cm.N(), cm.M());
+
+ const auto& assemblyMap = this->problem_().bulkProblem().model().localJacobian().assemblyMap();
+ for (const auto& element : elements(problem_().bulkGridView()))
+ {
+ const auto globalI = problem_().model().bulkElementMapper().index(element);
+
+ bulkPattern.add(globalI, globalI);
+ for (const auto& dataJ : assemblyMap[globalI])
+ bulkPattern.add(dataJ.globalJ, globalI);
+
+ // reserve index for additional user defined DOF dependencies
+ const auto& additionalDofDependencies = problem_().bulkProblem().getAdditionalDofDependencies(globalI);
+ for (auto globalJ : additionalDofDependencies)
+ bulkPattern.add(globalI, globalJ);
+
+ const auto& couplingStencil = problem_().couplingManager().couplingStencil(element);
+ for (auto globalJ : couplingStencil)
+ bulkCouplingPattern.add(globalI, globalJ);
+ }
+
+ // export occupation patterns to matrices
+ bulkPattern.exportIdx(m);
+ bulkCouplingPattern.exportIdx(cm);
+ }
+
+ void buildLowDimMatrixBlocksCC_(LowDimMatrixBlock& m, LowDimCouplingMatrixBlock& cm)
+ {
+ // get occupation pattern of the matrix
+ Dune::MatrixIndexSet lowDimPattern, lowDimCouplingPattern;
+ lowDimPattern.resize(m.N(), m.M());
+ lowDimCouplingPattern.resize(cm.N(), cm.M());
+
+ const auto& assemblyMap = this->problem_().lowDimProblem().model().localJacobian().assemblyMap();
+ for (const auto& element : elements(problem_().lowDimGridView()))
+ {
+ const auto globalI = problem_().model().lowDimElementMapper().index(element);
+
+ lowDimPattern.add(globalI, globalI);
+ for (const auto& dataJ : assemblyMap[globalI])
+ lowDimPattern.add(dataJ.globalJ, globalI);
+
+ // reserve index for additional user defined DOF dependencies
+ const auto& additionalDofDependencies = problem_().lowDimProblem().getAdditionalDofDependencies(globalI);
+ for (auto globalJ : additionalDofDependencies)
+ lowDimPattern.add(globalI, globalJ);
+
+ const auto& couplingStencil = problem_().couplingManager().couplingStencil(element);
+ for (auto globalJ : couplingStencil)
+ lowDimCouplingPattern.add(globalI, globalJ);
+ }
+
+ // export occupation patterns to matrices
+ lowDimPattern.exportIdx(m);
+ lowDimCouplingPattern.exportIdx(cm);
+ }
+
+ // void buildBulkMatrixBlocksBox_(BulkMatrixBlock& m, BulkCouplingMatrixBlock& cm)
+ // {
+ // // get occupation pattern of the matrix
+ // Dune::MatrixIndexSet bulkPattern, bulkCouplingPattern;
+ // bulkPattern.resize(m.N(), m.M());
+ // bulkCouplingPattern.resize(cm.N(), cm.M());
+
+ // for (const auto& element : elements(problem_().bulkGridView()))
+ // {
+ // const auto& stencil = problem_().couplingManager().stencil(element);
+ // const auto& couplingStencil = problem_().couplingManager().couplingStencil(element);
+
+ // for (unsigned int scvIdx = 0; scvIdx < element.subEntities(bulkDim); ++scvIdx)
+ // {
+ // auto globalI = problem_().model().bulkVertexMapper().subIndex(element, scvIdx, bulkDim);
+
+ // for (auto&& globalJ : stencil)
+ // bulkPattern.add(globalI, globalJ);
+
+ // for (auto&& globalJ : couplingStencil)
+ // bulkCouplingPattern.add(globalI, globalJ);
+ // }
+ // }
+
+ // // export occupation patterns to matrices
+ // bulkPattern.exportIdx(m);
+ // bulkCouplingPattern.exportIdx(cm);
+ // }
+
+ // void buildLowDimMatrixBlocksBox_(LowDimMatrixBlock& m, LowDimCouplingMatrixBlock& cm)
+ // {
+ // // get occupation pattern of the matrix
+ // Dune::MatrixIndexSet lowDimPattern, lowDimCouplingPattern;
+ // lowDimPattern.resize(m.N(), m.M());
+ // lowDimCouplingPattern.resize(cm.N(), cm.M());
+
+ // for (const auto& element : elements(problem_().lowDimGridView()))
+ // {
+ // const auto& stencil = problem_().couplingManager().stencil(element);
+ // const auto& couplingStencil = problem_().couplingManager().couplingStencil(element);
+
+ // for (unsigned int scvIdx = 0; scvIdx < element.subEntities(lowDimDim); ++scvIdx)
+ // {
+ // auto globalI = problem_().model().lowDimVertexMapper().subIndex(element, scvIdx, lowDimDim);
+
+ // for (auto&& globalJ : stencil)
+ // lowDimPattern.add(globalI, globalJ);
+
+ // for (auto&& globalJ : couplingStencil)
+ // lowDimCouplingPattern.add(globalI, globalJ);
+ // }
+ // }
+
+ // // export occupation patterns to matrices
+ // lowDimPattern.exportIdx(m);
+ // lowDimCouplingPattern.exportIdx(cm);
+ // }
+
+ // Construct the multitype matrix for the global jacobian
+ void createMatrix_()
+ {
+ // create the multitype matrix
+ matrix_ = std::make_shared<JacobianMatrix>();
+
+ // get sub matrix sizes
+ const auto bulkSize = problem_().model().bulkNumDofs();
+ const auto lowDimSize = problem_().model().lowDimNumDofs();
+
+ // allocate the sub matrices
+ auto A11 = BulkMatrixBlock(bulkSize, bulkSize, BulkMatrixBlock::random);
+ auto A12 = BulkCouplingMatrixBlock(bulkSize, lowDimSize, BulkCouplingMatrixBlock::random);
+ auto A22 = LowDimMatrixBlock(lowDimSize, lowDimSize, LowDimMatrixBlock::random);
+ auto A21 = LowDimCouplingMatrixBlock(lowDimSize, bulkSize, LowDimCouplingMatrixBlock::random);
+
+ // cell-centered
+ if (!bulkIsBox)
+ buildBulkMatrixBlocksCC_(A11, A12);
+ else{
+ // buildBulkMatrixBlocksBox_(A11, A12);
+ }
+
+ if (!lowDimIsBox)
+ buildLowDimMatrixBlocksCC_(A22, A21);
+ else{
+ // buildLowDimMatrixBlocksBox_(A22, A21);
+ }
+
+ (*matrix_)[bulkIdx][bulkIdx] = A11;
+ (*matrix_)[bulkIdx][lowDimIdx] = A12;
+ (*matrix_)[lowDimIdx][bulkIdx] = A21;
+ (*matrix_)[lowDimIdx][lowDimIdx] = A22;
+ }
+
+ // assemble a bulk element
+ // void assembleElement_(const BulkElement &element)
+ // {
+ // problem_().model().bulkLocalJacobian().assemble(element);
+
+ // if (!bulkIsBox)
+ // {
+ // int globalI = problem_().model().bulkElementMapper().index(element);
+
+ // // update the right hand side
+ // residual_[bulkIdx][globalI] = problem_().model().bulkLocalJacobian().residual(0);
+ // for (int j = 0; j < residual_[bulkIdx][globalI].dimension; ++j)
+ // assert(std::isfinite(residual_[bulkIdx][globalI][j]));
+
+ // const auto& stencil = problem_().couplingManager().stencil(element);
+ // const auto& couplingStencil = problem_().couplingManager().couplingStencil(element);
+
+ // int j = 0;
+ // for (auto&& globalJ : stencil)
+ // (*matrix_)[bulkIdx][bulkIdx][globalI][globalJ] = problem_().model().bulkLocalJacobian().mat(bulkIdx, 0, j++);
+
+ // j = 0;
+ // for (auto&& globalJ : couplingStencil)
+ // (*matrix_)[bulkIdx][lowDimIdx][globalI][globalJ] = problem_().model().bulkLocalJacobian().mat(lowDimIdx, 0, j++);
+ // }
+ // else
+ // {
+ // const auto& stencil = problem_().couplingManager().stencil(element);
+ // const auto& couplingStencil = problem_().couplingManager().couplingStencil(element);
+
+ // for (unsigned int scvIdx = 0; scvIdx < element.subEntities(bulkDim); ++scvIdx)
+ // {
+ // auto globalI = problem_().model().bulkVertexMapper().subIndex(element, scvIdx, bulkDim);
+
+ // // update the right hand side
+ // residual_[bulkIdx][globalI] += problem_().model().bulkLocalJacobian().residual(scvIdx);
+ // for (int j = 0; j < residual_[bulkIdx][globalI].dimension; ++j)
+ // assert(std::isfinite(residual_[bulkIdx][globalI][j]));
+
+ // int j = 0;
+ // for (auto&& globalJ : stencil)
+ // (*matrix_)[bulkIdx][bulkIdx][globalI][globalJ] += problem_().model().bulkLocalJacobian().mat(bulkIdx, scvIdx, j++);
+
+ // j = 0;
+ // for (auto&& globalJ : couplingStencil)
+ // (*matrix_)[bulkIdx][lowDimIdx][globalI][globalJ] += problem_().model().bulkLocalJacobian().mat(lowDimIdx, scvIdx, j++);
+ // }
+ // }
+ // }
+
+ // // assemble a bulk element
+ // void assembleElement_(const LowDimElement &element)
+ // {
+ // problem_().model().lowDimLocalJacobian().assemble(element);
+
+ // if (!lowDimIsBox)
+ // {
+ // int globalI = problem_().model().lowDimElementMapper().index(element);
+
+ // // update the right hand side
+ // residual_[lowDimIdx][globalI] = problem_().model().lowDimLocalJacobian().residual(0);
+ // for (int j = 0; j < residual_[lowDimIdx][globalI].dimension; ++j)
+ // assert(std::isfinite(residual_[lowDimIdx][globalI][j]));
+
+ // const auto& stencil = problem_().couplingManager().stencil(element);
+ // const auto& couplingStencil = problem_().couplingManager().couplingStencil(element);
+
+ // int j = 0;
+ // for (auto&& globalJ : stencil)
+ // (*matrix_)[lowDimIdx][lowDimIdx][globalI][globalJ] = problem_().model().lowDimLocalJacobian().mat(lowDimIdx, 0, j++);
+
+ // j = 0;
+ // for (auto&& globalJ : couplingStencil)
+ // (*matrix_)[lowDimIdx][bulkIdx][globalI][globalJ] = problem_().model().lowDimLocalJacobian().mat(bulkIdx, 0, j++);
+ // }
+ // else
+ // {
+ // const auto& stencil = problem_().couplingManager().stencil(element);
+ // const auto& couplingStencil = problem_().couplingManager().couplingStencil(element);
+
+ // for (unsigned int scvIdx = 0; scvIdx < element.subEntities(lowDimDim); ++scvIdx)
+ // {
+ // auto globalI = problem_().model().lowDimVertexMapper().subIndex(element, scvIdx, lowDimDim);
+
+ // // update the right hand side
+ // residual_[lowDimIdx][globalI] += problem_().model().lowDimLocalJacobian().residual(scvIdx);
+ // for (int j = 0; j < residual_[lowDimIdx][globalI].dimension; ++j)
+ // assert(std::isfinite(residual_[lowDimIdx][globalI][j]));
+
+ // int j = 0;
+ // for (auto&& globalJ : stencil)
+ // (*matrix_)[lowDimIdx][lowDimIdx][globalI][globalJ] += problem_().model().lowDimLocalJacobian().mat(lowDimIdx, scvIdx, j++);
+
+ // j = 0;
+ // for (auto&& globalJ : couplingStencil)
+ // (*matrix_)[lowDimIdx][bulkIdx][globalI][globalJ] += problem_().model().lowDimLocalJacobian().mat(bulkIdx, scvIdx, j++);
+ // }
+ // }
+ // }
+
+ Problem &problem_()
+ { return *problemPtr_; }
+ const Problem &problem_() const
+ { return *problemPtr_; }
+
+ // the multidimension problem
+ Problem *problemPtr_;
+
+ // the jacobian matrix
+ std::shared_ptr<JacobianMatrix> matrix_;
+ // the right-hand side
+ SolutionVector residual_;
+
+private:
+ Implementation &asImp_()
+ { return *static_cast<Implementation*>(this); }
+ const Implementation &asImp_() const
+ { return *static_cast<const Implementation*>(this); }
+};
+
+} // namespace Dumux
+
+#endif
diff --git a/dumux/mixeddimension/bulklocaljacobian.hh b/dumux/mixeddimension/bulklocaljacobian.hh
new file mode 100644
index 0000000000000000000000000000000000000000..939132fa39effabcf4fe033a22ef86346b40d115
--- /dev/null
+++ b/dumux/mixeddimension/bulklocaljacobian.hh
@@ -0,0 +1,319 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ * See the file COPYING for full copying permissions. *
+ * *
+ * This program is free software: you can redistribute it and/or modify *
+ * it under the terms of the GNU General Public License as published by *
+ * the Free Software Foundation, either version 2 of the License, or *
+ * (at your option) any later version. *
+ * *
+ * This program is distributed in the hope that it will be useful, *
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of *
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
+ * GNU General Public License for more details. *
+ * *
+ * You should have received a copy of the GNU General Public License *
+ * along with this program. If not, see <http://www.gnu.org/licenses/>. *
+ *****************************************************************************/
+/*!
+ * \file
+ * \ingroup MixedDimension
+ * \brief Caculates the Jacobian of the local residual for fully-implicit models
+ */
+#ifndef DUMUX_BULK_LOCAL_JACOBIAN_HH
+#define DUMUX_BULK_LOCAL_JACOBIAN_HH
+
+#include <dune/common/indices.hh>
+#include <dune/istl/matrix.hh>
+
+#include <dumux/common/math.hh>
+#include <dumux/common/valgrind.hh>
+
+#include <dumux/mixeddimension/properties.hh>
+
+namespace Dumux
+{
+/*!
+ * \ingroup MixedDimension
+ * \brief Calculates the Jacobian of the local residual for the bulk domain
+ *
+ * The default behavior is to use numeric differentiation, i.e.
+ * forward or backward differences (2nd order), or central
+ * differences (3rd order). The method used is determined by the
+ * "NumericDifferenceMethod" property:
+ *
+ * - if the value of this property is smaller than 0, backward
+ * differences are used, i.e.:
+ * \f[
+ \frac{\partial f(x)}{\partial x} \approx \frac{f(x) - f(x - \epsilon)}{\epsilon}
+ * \f]
+ *
+ * - if the value of this property is 0, central
+ * differences are used, i.e.:
+ * \f[
+ \frac{\partial f(x)}{\partial x} \approx \frac{f(x + \epsilon) - f(x - \epsilon)}{2 \epsilon}
+ * \f]
+ *
+ * - if the value of this property is larger than 0, forward
+ * differences are used, i.e.:
+ * \f[
+ \frac{\partial f(x)}{\partial x} \approx \frac{f(x + \epsilon) - f(x)}{\epsilon}
+ * \f]
+ *
+ * Here, \f$ f \f$ is the residual function for all equations, \f$x\f$
+ * is the value of a sub-control volume's primary variable at the
+ * evaluation point and \f$\epsilon\f$ is a small value larger than 0.
+ */
+template<class TypeTag>
+class BulkLocalJacobian : public GET_PROP_TYPE(TypeTag, BulkLocalJacobianBase)
+{
+ using ParentType = typename GET_PROP_TYPE(TypeTag, BulkLocalJacobianBase);
+ using Implementation = typename GET_PROP_TYPE(TypeTag, BulkLocalJacobian);
+ using Scalar = typename GET_PROP_TYPE(TypeTag, Scalar);
+ using GlobalProblem = typename GET_PROP_TYPE(TypeTag, Problem);
+ using SubProblemBlockIndices = typename GET_PROP(TypeTag, SubProblemBlockIndices);
+
+ // obtain the type tag of the bulk sub problems
+ using BulkProblemTypeTag = typename GET_PROP_TYPE(TypeTag, BulkProblemTypeTag);
+
+ // types of the bulk sub problem
+ using Problem = typename GET_PROP_TYPE(BulkProblemTypeTag, Problem);
+ using FVElementGeometry = typename GET_PROP_TYPE(BulkProblemTypeTag, FVElementGeometry);
+ using ElementSolutionVector = typename GET_PROP_TYPE(BulkProblemTypeTag, ElementSolutionVector);
+ using PrimaryVariables = typename GET_PROP_TYPE(BulkProblemTypeTag, PrimaryVariables);
+ using VolumeVariables = typename GET_PROP_TYPE(BulkProblemTypeTag, VolumeVariables);
+ using ElementVolumeVariables = typename GET_PROP_TYPE(BulkProblemTypeTag, ElementVolumeVariables);
+ using ElementFluxVariablesCache = typename GET_PROP_TYPE(BulkProblemTypeTag, ElementFluxVariablesCache);
+ using ElementBoundaryTypes = typename GET_PROP_TYPE(BulkProblemTypeTag, ElementBoundaryTypes);
+ using LocalResidual = typename GET_PROP_TYPE(BulkProblemTypeTag, LocalResidual);
+ using GridView = typename GET_PROP_TYPE(BulkProblemTypeTag, GridView);
+ using IndexType = typename GridView::IndexSet::IndexType:
+ using Element = typename GridView::template Codim<0>::Entity;
+
+ enum { dim = GridView::dimension };
+ enum { isBox = GET_PROP_VALUE(BulkProblemTypeTag, ImplicitIsBox) };
+
+ // matrix and solution types
+ using SolutionVector = typename GET_PROP_TYPE(BulkProblemTypeTag, SolutionVector);
+ using JacobianMatrix = typename GET_PROP_TYPE(TypeTag, JacobianMatrix)::MatrixBlockBulk;
+ using JacobianMatrixCoupling = typename GET_PROP_TYPE(TypeTag, JacobianMatrix)::MatrixBlockBulkCoupling;
+
+public:
+
+ // copying a local jacobian is not a good idea
+ BulkLocalJacobian(const BulkLocalJacobian &) = delete;
+
+ BulkLocalJacobian()
+ { numericDifferenceMethod_ = GET_PARAM_FROM_GROUP(TypeTag, int, Implicit, NumericDifferenceMethod); }
+
+ /*!
+ * \brief Initialize the local Jacobian object.
+ *
+ * At this point we can assume that everything has been allocated,
+ * although some objects may not yet be completely initialized.
+ *
+ * \param problem The problem which we want to simulate.
+ */
+ void init(GlobalProblem &globalProblem)
+ {
+ globalProblemPtr_ = &globalProblem;
+ ParentType::init(globalProblem.bulkProblem());
+ }
+
+ /*!
+ * \brief Assemble an element's local Jacobian matrix of the
+ * defect.
+ *
+ * \param element The DUNE Codim<0> entity which we look at.
+ */
+ void assemble(const Element &element,
+ JacobianMatrix& matrix,
+ JacobianMatrixCoupling& couplingMatrix,
+ SolutionVector& residual)
+ {
+ const bool isGhost = (element.partitionType() == Dune::GhostEntity);
+
+ // prepare the volvars/fvGeometries in case caching is disabled
+ auto fvGeometry = localView(this->model_().globalFvGeometry());
+ fvGeometry.bind(element);
+
+ auto curElemVolVars = localView(this->model_().curGlobalVolVars());
+ curElemVolVars.bind(element, fvGeometry, this->model_().curSol());
+
+ auto prevElemVolVars = localView(this->model_().prevGlobalVolVars());
+ prevElemVolVars.bindElement(element, fvGeometry, this->model_().prevSol());
+
+ auto elemFluxVarsCache = localView(this->model_().globalFluxVarsCache());
+ elemFluxVarsCache.bind(element, fvGeometry, curElemVolVars);
+
+ // set the actual dof index
+ globalI_ = this->problem_().elementMapper().index(element);
+
+ // check for boundaries on the element
+ ElementBoundaryTypes elemBcTypes;
+ elemBcTypes.update(this->problem_(), element, fvGeometry);
+
+ // The actual solution in the element
+ auto curElemSol = this->model_().elementSolution(element, this->model_().curSol());
+
+ // Evaluate the undeflected element local residual
+ this->localResidual().eval(element,
+ fvGeometry,
+ prevElemVolVars,
+ curElemVolVars,
+ elemBcTypes,
+ elemFluxVarsCache);
+ this->residual_ = this->localResidual().residual();
+
+ // calculate derivatives of all dofs in stencil with respect to the dofs in the element
+ this->evalPartialDerivatives_(element,
+ fvGeometry,
+ prevElemVolVars,
+ curElemVolVars,
+ curElemSol,
+ elemFluxVarsCache,
+ elemBcTypes,
+ matrix,
+ residual,
+ isGhost);
+
+ // compute derivatives with respect to additional user defined DOF dependencies
+ const auto& additionalDofDepedencies = this->problem_().getAdditionalDofDependencies(globalI_);
+ if (!additionalDofDepedencies.empty() && !isGhost)
+ {
+ this->evalAdditionalDerivatives_(additionalDofDepedencies,
+ element,
+ fvGeometry,
+ curElemVolVars,
+ matrix,
+ residual);
+ }
+
+ evalPartialDerivativeCoupling_(element,
+ fvGeometry,
+ curElemVolVars,
+ elemFluxVarsCache,
+ elemBcTypes,
+ couplingMatrix,
+ residual)
+ }
+
+protected:
+
+ /*!
+ * \brief Returns a reference to the problem.
+ */
+ const GlobalProblem &globalProblem_() const
+ { return *globalProblemPtr_; }
+
+ GlobalProblem &globalProblem_()
+ { return *globalProblemPtr_; }
+
+ void evalPartialDerivativeCoupling_(const Element& element,
+ const FVElementGeometry& fvGeometry,
+ ElementVolumeVariables& curElemVolVars,
+ ElementFluxVariablesCache& elemFluxVarsCache,
+ const ElementBoundaryTypes& elemBcTypes,
+ JacobianMatrixCoupling& couplingMatrix,
+ SolutionVector& residual)
+ {
+ const auto& couplingStencil = globalProblem_().couplingManager().couplingStencil(element);
+ const auto numDofsCoupling = couplingStencil.size();
+
+ for (auto globalJ : couplingStencil)
+ {
+ const auto lowDimElement = globalProblem_().lowDimProblem().model().globalFvGeometry().element(globalJ);
+ const auto& lowDimSolution = globalProblem_().lowDimProblem().model().curSol();
+ auto curElemSolLowDim = globalProblem_().lowDimProblem().model().elementSolution(lowDimElement, lowDimSolution);
+ const auto lowDimResidual = globalProblem_().couplingManager().evalCouplingResidual(element,
+ fvGeometry,
+ curElemVolVars,
+ elemBcTypes,
+ elemFluxVarsCache,
+ lowDimElement,
+ curElemSolLowDim);
+ // derivatives in the neighbors with repect to the current elements
+ PrimaryVariables partialDeriv;
+ for (int pvIdx = 0; pvIdx < numEq; pvIdx++)
+ {
+ const Scalar eps = numericEpsilon(curElemSolLowDim[0][pvIdx]);
+ Scalar delta = 0;
+
+ if (numericDifferenceMethod_ >= 0)
+ {
+ // we are not using backward differences, i.e. we need to
+ // calculate f(x + \epsilon)
+
+ // deflect primary variables
+ curElemSolLowDim[0][pvIdx] += eps;
+ delta += eps;
+
+ // calculate the residual with the deflected primary variables
+ partialDeriv = globalProblem_().couplingManager().evalCouplingResidual(element,
+ fvGeometry,
+ curElemVolVars,
+ elemBcTypes,
+ elemFluxVarsCache,
+ lowDimElement,
+ curElemSolLowDim);
+ }
+ else
+ {
+ // we are using backward differences, i.e. we don't need
+ // to calculate f(x + \epsilon) and we can recycle the
+ // (already calculated) residual f(x)
+ partialDeriv = lowDimResidual;
+ }
+
+
+ if (numericDifferenceMethod_ <= 0)
+ {
+ // we are not using forward differences, i.e. we
+ // need to calculate f(x - \epsilon)
+
+ // deflect the primary variables
+ curElemSolLowDim[0][pvIdx] -= 2*eps;
+ delta += eps;
+
+ // calculate the residual with the deflected primary variables
+ partialDeriv -= globalProblem_().couplingManager().evalCouplingResidual(element,
+ fvGeometry,
+ curElemVolVars,
+ elemBcTypes,
+ elemFluxVarsCache,
+ lowDimElement,
+ curElemSolLowDim);
+ }
+ else
+ {
+ // we are using forward differences, i.e. we don't need to
+ // calculate f(x - \epsilon) and we can recycle the
+ // (already calculated) residual f(x)
+ partialDeriv -= lowDimResidual;
+ }
+
+ // divide difference in residuals by the magnitude of the
+ // deflections between the two function evaluation
+ partialDeriv /= delta;
+
+ // restore the original state of the element solution vector
+ curElemSolLowDim[0][pvIdx] = lowDimSolution[globalJ][pvIdx];
+
+ // update the global jacobian matrix (coupling block)
+ this->updateGlobalJacobian_(couplingMatrix, globalI_, globalJ, pvIdx, partialDeriv);
+ }
+ }
+ }
+
+ // The global index of the current element
+ IndexType globalI_;
+ // The problem we would like to solve
+ GlobalProblem *globalProblemPtr_;
+ // The type of the numeric difference method (forward, center, backward)
+ int numericDifferenceMethod_;
+};
+
+} // end namespace Dumux
+
+#endif
diff --git a/dumux/mixeddimension/embedded/CMakeLists.txt b/dumux/mixeddimension/embedded/CMakeLists.txt
new file mode 100644
index 0000000000000000000000000000000000000000..d0b0e83c72f86a0d78a97ea384bda091a75dbc1e
--- /dev/null
+++ b/dumux/mixeddimension/embedded/CMakeLists.txt
@@ -0,0 +1 @@
+#add_subdirectory("cellcentered")
diff --git a/dumux/mixeddimension/embedded/cellcentered/bboxtreecouplingmanager.hh b/dumux/mixeddimension/embedded/cellcentered/bboxtreecouplingmanager.hh
new file mode 100644
index 0000000000000000000000000000000000000000..fcb221eccd29a5935461fc54e62d348a2d8be049
--- /dev/null
+++ b/dumux/mixeddimension/embedded/cellcentered/bboxtreecouplingmanager.hh
@@ -0,0 +1,604 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ * See the file COPYING for full copying permissions. *
+ * *
+ * This program is free software: you can redistribute it and/or modify *
+ * it under the terms of the GNU General Public License as published by *
+ * the Free Software Foundation, either version 2 of the License, or *
+ * (at your option) any later version. *
+ * *
+ * This program is distributed in the hope that it will be useful, *
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of *
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
+ * GNU General Public License for more details. *
+ * *
+ * You should have received a copy of the GNU General Public License *
+ * along with this program. If not, see <http://www.gnu.org/licenses/>. *
+ *****************************************************************************/
+/*!
+ * \file
+ * \ingroup EmbeddedCoupling
+ * \ingroup CCModel
+ * \brief Coupling manager for low-dimensional domains embedded in the bulk
+ * domain. Point sources on each integration point are computed by an AABB tree.
+ * Both domain are assumed to be discretized using a cc finite volume scheme.
+ */
+
+#ifndef DUMUX_CC_BBOXTREE_EMBEDDEDCOUPLINGMANAGER_HH
+#define DUMUX_CC_BBOXTREE_EMBEDDEDCOUPLINGMANAGER_HH
+
+#include <iostream>
+#include <fstream>
+#include <string>
+#include <utility>
+
+#include <dune/common/timer.hh>
+#include <dune/geometry/quadraturerules.hh>
+#include <dune/geometry/referenceelements.hh>
+
+#include <dumux/mixeddimension/glue/glue.hh>
+#include <dumux/mixeddimension/embedded/cellcentered/pointsourcedata.hh>
+
+namespace Dumux
+{
+
+namespace Properties
+{
+// Property forward declarations
+NEW_PROP_TAG(BulkProblemTypeTag);
+NEW_PROP_TAG(LowDimProblemTypeTag);
+NEW_PROP_TAG(GridView);
+} // namespace Properties
+
+/*!
+ * \ingroup EmbeddedCoupling
+ * \ingroup CCModel
+ * \brief Manages the coupling between bulk elements and lower dimensional elements
+ * Point sources on each integration point are computed by an AABB tree.
+ * Both domain are assumed to be discretized using a cc finite volume scheme.
+ */
+template<class TypeTag>
+class CCBBoxTreeEmbeddedCouplingManager
+{
+ using Implementation = typename GET_PROP_TYPE(TypeTag, CouplingManager);
+ using Scalar = typename GET_PROP_TYPE(TypeTag, Scalar);
+ using Problem = typename GET_PROP_TYPE(TypeTag, Problem);
+ using PointSourceData = Dumux::PointSourceDataCircleAverage<TypeTag>;
+
+ // obtain the type tags of the sub problems
+ using BulkProblemTypeTag = typename GET_PROP_TYPE(TypeTag, BulkProblemTypeTag);
+ using LowDimProblemTypeTag = typename GET_PROP_TYPE(TypeTag, LowDimProblemTypeTag);
+
+ using BulkGridView = typename GET_PROP_TYPE(BulkProblemTypeTag, GridView);
+ using BulkProblem = typename GET_PROP_TYPE(BulkProblemTypeTag, Problem);
+ using BulkPointSource = typename GET_PROP_TYPE(BulkProblemTypeTag, PointSource);
+ using BulkPrimaryVariables = typename GET_PROP_TYPE(BulkProblemTypeTag, PrimaryVariables);
+ using BulkElementSolutionVector = typename GET_PROP_TYPE(BulkProblemTypeTag, ElementSolutionVector);
+ using BulkVolumeVariables = typename GET_PROP_TYPE(BulkProblemTypeTag, VolumeVariables);
+ using BulkElementVolumeVariables = typename GET_PROP_TYPE(BulkProblemTypeTag, ElementVolumeVariables);
+ using BulkFVElementGeometry = typename GET_PROP_TYPE(BulkProblemTypeTag, FVElementGeometry);
+ using BulkElementBoundaryTypes = typename GET_PROP_TYPE(BulkProblemTypeTag, ElementBoundaryTypes);
+ using BulkElementFluxVariablesCache = typename GET_PROP_TYPE(BulkProblemTypeTag, ElementFluxVariablesCache);
+ using BulkElement = typename BulkGridView::template Codim<0>::Entity;
+
+ using LowDimGridView = typename GET_PROP_TYPE(LowDimProblemTypeTag, GridView);
+ using LowDimProblem = typename GET_PROP_TYPE(LowDimProblemTypeTag, Problem);
+ using LowDimPointSource = typename GET_PROP_TYPE(LowDimProblemTypeTag, PointSource);
+ using LowDimPrimaryVariables = typename GET_PROP_TYPE(LowDimProblemTypeTag, PrimaryVariables);
+ using LowDimVolumeVariables = typename GET_PROP_TYPE(BulkProblemTypeTag, VolumeVariables);
+ using LowDimElementVolumeVariables = typename GET_PROP_TYPE(LowDimProblemTypeTag, ElementVolumeVariables);
+ using LowDimFVElementGeometry = typename GET_PROP_TYPE(LowDimProblemTypeTag, FVElementGeometry);
+ using LowDimElementBoundaryTypes = typename GET_PROP_TYPE(LowDimProblemTypeTag, ElementBoundaryTypes);
+ using LowDimElementFluxVariablesCache = typename GET_PROP_TYPE(LowDimProblemTypeTag, ElementFluxVariablesCache);
+ using LowDimElement = typename LowDimGridView::template Codim<0>::Entity;
+
+ enum {
+ bulkDim = BulkGridView::dimension,
+ lowDimDim = LowDimGridView::dimension,
+ dimWorld = BulkGridView::dimensionworld
+ };
+
+ using GlobalPosition = Dune::FieldVector<Scalar, dimWorld>;
+public:
+
+ /*!
+ * \brief Constructor
+ */
+ CCBBoxTreeEmbeddedCouplingManager(BulkProblem& bulkProblem, LowDimProblem& lowDimProblem)
+ : bulkProblem_(bulkProblem), lowDimProblem_(lowDimProblem)
+ {
+ // Check if we are using the cellcentered method in both domains
+ static_assert(lowDimDim == 1, "The bounding box coupling manager only works with one-dimensional low-dim grids");
+ }
+
+ /*!
+ * \brief Methods to be accessed by the coupled problem
+ */
+ // \{
+
+ /*!
+ * \brief Called by the coupled problem before
+ * initializing the subproblems / models
+ */
+ void preInit()
+ {
+ asImp_().computePointSourceData();
+ }
+
+ /*!
+ * \brief Called by the coupled problem after
+ * initializing the subproblems / models
+ */
+ void postInit()
+ {}
+
+ /*!
+ * \brief The bulk coupling stencil, i.e. which low-dimensional dofs
+ * the given bulk element dof depends on.
+ */
+ const std::vector<unsigned int>& couplingStencil(const BulkElement& element) const
+ {
+ const unsigned int eIdx = bulkProblem().elementMapper().index(element);
+ if (bulkCouplingStencils_.count(eIdx))
+ return bulkCouplingStencils_.at(eIdx);
+ else
+ return emptyStencil_;
+ }
+
+ /*!
+ * \brief The low dim coupling stencil, i.e. which bulk dofs
+ * the given low dimensional element dof depends on.
+ */
+ const std::vector<unsigned int>& couplingStencil(const LowDimElement& element) const
+ {
+ const unsigned int eIdx = lowDimProblem().elementMapper().index(element);
+ if (lowDimCouplingStencils_.count(eIdx))
+ return lowDimCouplingStencils_.at(eIdx);
+ else
+ return emptyStencil_;
+ }
+
+ //! evaluate coupling residual for the derivative bulk DOF with respect to low dim DOF
+ //! we only need to evaluate the part of the residual that will be influence by the low dim DOF
+ BulkPrimaryVariables evalCouplingResidual(const BulkElement& element,
+ const BulkFVElementGeometry& fvGeometry,
+ const BulkElementVolumeVariables& curElemVolVars,
+ const BulkElementBoundaryTypes& elemBcTypes,
+ const BulkElementFluxVariablesCache& elemFluxVarsCache,
+ const LowDimElement& lowDimElement)
+ {
+ const auto bulkElementIdx = bulkProblem().elementMapper().index(element);
+ auto&& scv = fvGeometry.scv(bulkElementIdx);
+ auto couplingSource = bulkProblem().scvPointSources(element, fvGeometry, curElemVolVars, scv);
+ couplingSource *= -scv.volume()*curElemVolVars[scv].extrusionFactor();
+ return couplingSource;
+ }
+
+ //! evaluate coupling residual for the derivative low dim DOF with respect to bulk DOF
+ //! we only need to evaluate the part of the residual that will be influence by the bulk DOF
+ LowDimPrimaryVariables evalCouplingResidual(const LowDimElement& element,
+ const LowDimFVElementGeometry& fvGeometry,
+ const LowDimElementVolumeVariables& curElemVolVars,
+ const LowDimElementBoundaryTypes& elemBcTypes,
+ const LowDimElementFluxVariablesCache& elemFluxVarsCache,
+ const BulkElement& bulkElement)
+ {
+ const auto lowDimElementIdx = lowDimProblem().elementMapper().index(element);
+ auto&& scv = fvGeometry.scv(lowDimElementIdx);
+ auto couplingSource = lowDimProblem().scvPointSources(element, fvGeometry, curElemVolVars, scv);
+ couplingSource *= -scv.volume()*curElemVolVars[scv].extrusionFactor();
+ return couplingSource;
+ }
+
+ // \}
+
+ /* \brief Compute integration point point sources and associated data
+ *
+ * This method uses grid glue to intersect the given grids. Over each intersection
+ * we later need to integrate a source term. This method places point sources
+ * at each quadrature point and provides the point source with the necessary
+ * information to compute integrals (quadrature weight and integration element)
+ * \param order The order of the quadrature rule for integration of sources over an intersection
+ * \param verbose If the point source computation is verbose
+ */
+ void computePointSourceData(unsigned int order = 1, bool verbose = false)
+ {
+ // Initialize the bulk bounding box tree
+ const auto& bulkTree = this->bulkProblem().boundingBoxTree();
+
+ // initilize the maps
+ // do some logging and profiling
+ Dune::Timer watch;
+ std::cout << "Initializing the point sources..." << std::endl;
+
+ // clear all internal members like pointsource vectors and stencils
+ // initializes the point source id counter
+ clear();
+
+ // iterate over all lowdim elements
+ for (const auto& lowDimElement : elements(this->lowDimGridView()))
+ {
+ // get the Gaussian quadrature rule for the low dim element
+ auto lowDimGeometry = lowDimElement.geometry();
+ const auto& quad = Dune::QuadratureRules<Scalar, lowDimDim>::rule(lowDimGeometry.type(), order);
+
+ const unsigned int lowDimElementIdx = this->lowDimProblem().elementMapper().index(lowDimElement);
+
+ // apply the Gaussian quadrature rule and define point sources at each quadrature point
+ // note that the approximation is not optimal if
+ // (a) the one-dimensional elements are too large,
+ // (b) whenever a one-dimensional element is split between two or more elements,
+ // (c) when gradients of important quantities in the three-dimensional domain are large.
+
+ // iterate over all quadrature points
+ for (auto&& qp : quad)
+ {
+ // global position of the quadrature point
+ const auto globalPos = lowDimGeometry.global(qp.position());
+
+ auto bulkElementIndices = bulkTree.computeEntityCollisions(globalPos);
+
+ // do not add a point source if the qp is outside of the 3d grid
+ // this is equivalent to having a source of zero for that qp
+ if (bulkElementIndices.empty())
+ continue;
+
+ //////////////////////////////////////////////////////////
+ // get circle average connectivity and interpolation data
+ //////////////////////////////////////////////////////////
+
+ auto numIp = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, int, MixedDimension, NumCircleSegments);
+ const auto radius = this->lowDimProblem().spatialParams().radius(lowDimElementIdx);
+ const auto normal = lowDimGeometry.corner(1)-lowDimGeometry.corner(0);
+ auto length = 2*M_PI*radius/numIp;
+
+ auto circlePoints = this->getCirclePoints_(globalPos, normal, radius, numIp);
+ std::vector<Scalar> circleIpWeight;
+ std::vector<unsigned int> circleStencil;
+ for (const auto& p : circlePoints)
+ {
+ auto bulkElementIndices = bulkTree.computeEntityCollisions(p);
+ if (bulkElementIndices.empty())
+ continue;
+
+ for (auto bulkElementIdx : bulkElementIndices)
+ {
+ circleStencil.push_back(bulkElementIdx);
+ circleIpWeight.push_back(length);
+ }
+ }
+
+ // export low dim circle stencil
+ lowDimCircleStencils_[lowDimElementIdx].insert(lowDimCircleStencils_[lowDimElementIdx].end(),
+ circleStencil.begin(),
+ circleStencil.end());
+
+ for (auto bulkElementIdx : bulkElementIndices)
+ {
+ const auto id = idCounter_++;
+ const auto ie = lowDimGeometry.integrationElement(qp.position());
+ const auto qpweight = qp.weight();
+
+ this->bulkPointSources().emplace_back(globalPos, id, qpweight, ie, std::vector<unsigned int>({bulkElementIdx}));
+ this->bulkPointSources().back().setEmbeddings(bulkElementIndices.size());
+ this->lowDimPointSources().emplace_back(globalPos, id, qpweight, ie, std::vector<unsigned int>({lowDimElementIdx}));
+ this->lowDimPointSources().back().setEmbeddings(bulkElementIndices.size());
+
+ // pre compute additional data used for the evaluation of
+ // the actual solution dependent source term
+ PointSourceData psData;
+ psData.addLowDimInterpolation(lowDimElementIdx);
+ psData.addBulkInterpolation(bulkElementIdx);
+ // add data needed to compute integral over the circle
+ psData.addCircleInterpolation(circleIpWeight, circleStencil);
+
+ // publish point source data in the global vector
+ pointSourceData_.push_back(psData);
+
+ // compute the coupling stencils
+ bulkCouplingStencils_[bulkElementIdx].push_back(lowDimElementIdx);
+
+ // export bulk circle stencil
+ bulkCircleStencils_[bulkElementIdx].insert(bulkCircleStencils_[bulkElementIdx].end(),
+ circleStencil.begin(),
+ circleStencil.end());
+ }
+ }
+ }
+
+ // make the circle stencils unique
+ for (auto&& stencil : bulkCircleStencils_)
+ {
+ std::sort(stencil.second.begin(), stencil.second.end());
+ stencil.second.erase(std::unique(stencil.second.begin(), stencil.second.end()), stencil.second.end());
+ stencil.second.erase(std::remove_if(stencil.second.begin(), stencil.second.end(),
+ [&](auto i){ return i == stencil.first; }),
+ stencil.second.end());
+ }
+
+ for (auto&& stencil : lowDimCircleStencils_)
+ {
+ std::sort(stencil.second.begin(), stencil.second.end());
+ stencil.second.erase(std::unique(stencil.second.begin(), stencil.second.end()), stencil.second.end());
+ }
+
+ // coupling stencils
+ for (auto&& stencil : bulkCouplingStencils_)
+ {
+ std::sort(stencil.second.begin(), stencil.second.end());
+ stencil.second.erase(std::unique(stencil.second.begin(), stencil.second.end()), stencil.second.end());
+ }
+
+ // the low dim coupling stencil
+ for (auto&& stencil : lowDimCouplingStencils_)
+ {
+ // add the circle stencil to the coupling stencil
+ stencil.second.insert(stencil.second.end(),
+ lowDimCircleStencils_.at(stencil.first).begin(),
+ lowDimCircleStencils_.at(stencil.first).end());
+ std::sort(stencil.second.begin(), stencil.second.end());
+ stencil.second.erase(std::unique(stencil.second.begin(), stencil.second.end()), stencil.second.end());
+ }
+
+ std::cout << "took " << watch.elapsed() << " seconds." << std::endl;
+ }
+
+ /*!
+ * \brief Methods to be accessed by the subproblems
+ */
+ // \{
+
+ //! Return a reference to the bulk problem
+ Scalar radius(unsigned int id) const
+ {
+ const auto& data = pointSourceData_[id];
+ return lowDimProblem().spatialParams().radius(data.lowDimElementIdx());
+ }
+
+ //! The volume the lower dimensional domain occupies in the bulk domain element
+ // For one-dimensional low dim domain we assume radial tubes
+ Scalar lowDimVolume(const BulkElement& element) const
+ {
+ auto eIdx = bulkProblem().elementMapper().index(element);
+ return lowDimVolumeInBulkElement_[eIdx];
+ }
+
+ //! The volume fraction the lower dimensional domain occupies in the bulk domain element
+ // For one-dimensional low dim domain we assume radial tubes
+ Scalar lowDimVolumeFraction(const BulkElement& element) const
+ {
+ auto totalVolume = element.geometry().volume();
+ return asImp_().lowDimVolume(element) / totalVolume;
+ }
+
+ //! Return a reference to the pointSource data
+ const PointSourceData& pointSourceData(unsigned int id) const
+ {
+ return pointSourceData_[id];
+ }
+
+ //! Return a reference to the bulk problem
+ const BulkProblem& bulkProblem() const
+ {
+ return bulkProblem_;
+ }
+
+ //! Return a reference to the low dimensional problem
+ const LowDimProblem& lowDimProblem() const
+ {
+ return lowDimProblem_;
+ }
+
+ //! Return a reference to the bulk problem
+ BulkProblem& bulkProblem()
+ {
+ return bulkProblem_;
+ }
+
+ //! Return a reference to the low dimensional problem
+ LowDimProblem& lowDimProblem()
+ {
+ return lowDimProblem_;
+ }
+
+ //! Return a reference to the bulk problem
+ const BulkGridView& bulkGridView() const
+ {
+ return bulkProblem().gridView();
+ }
+
+ //! Return a reference to the low dimensional problem
+ const LowDimGridView& lowDimGridView() const
+ {
+ return lowDimProblem().gridView();
+ }
+
+ //! Return a reference to the point sources
+ const std::vector<BulkPointSource>& bulkPointSources() const
+ {
+ return bulkPointSources_;
+ }
+
+ //! Return a reference to the low dimensional problem
+ const std::vector<LowDimPointSource>& lowDimPointSources() const
+ {
+ return lowDimPointSources_;
+ }
+
+ //! Return data for a bulk point source with the identifier id
+ BulkPrimaryVariables bulkPriVars(unsigned int id) const
+ {
+ auto& data = pointSourceData_[id];
+ return data.interpolateBulk(bulkProblem().model().curSol());
+ }
+
+ //! Return data for a low dim point source with the identifier id
+ LowDimPrimaryVariables lowDimPriVars(unsigned int id) const
+ {
+ auto& data = pointSourceData_[id];
+ return data.interpolateLowDim(lowDimProblem().model().curSol());
+ }
+
+ //! Compute bulk volume variables for the identifier id
+ BulkVolumeVariables bulkVolVars(unsigned int id) const
+ {
+ // use circle interpolated data and construct volVar object for the interpolated privars
+ auto& data = pointSourceData_[id];
+ auto bulkPriVars = data.interpolateBulk(bulkProblem().model().curSol());
+
+ const auto element = bulkProblem().model().globalFvGeometry().element(data.bulkElementIdx());
+ auto fvGeometry = localView(bulkProblem().model().globalFvGeometry());
+ fvGeometry.bindElement(element);
+
+ BulkVolumeVariables volVars;
+ volVars.update(BulkElementSolutionVector({bulkPriVars}),
+ bulkProblem(),
+ element,
+ fvGeometry.scv(data.bulkElementIdx()));
+
+ return volVars;
+ }
+
+ //! Compute lowDim volume variables for the identifier id
+ LowDimVolumeVariables lowDimVolVars(unsigned int id) const
+ {
+ const auto& data = pointSourceData_[id];
+ const auto element = lowDimProblem().model().globalFvGeometry().element(data.lowDimElementIdx());
+ auto fvGeometry = localView(lowDimProblem().model().globalFvGeometry());
+ fvGeometry.bindElement(element);
+
+ const auto& curSol = lowDimProblem().model().curSol();
+ LowDimVolumeVariables volVars;
+ volVars.update(lowDimProblem().model().elementSolution(element, curSol),
+ lowDimProblem(),
+ element,
+ fvGeometry.scv(data.lowDimElementIdx()));
+
+ return volVars;
+ }
+ // \}
+
+ //! Clear all internal data members
+ void clear()
+ {
+ bulkPointSources_.clear();
+ lowDimPointSources_.clear();
+ pointSourceData_.clear();
+ bulkCouplingStencils_.clear();
+ lowDimCouplingStencils_.clear();
+ idCounter_ = 0;
+ }
+
+ const std::vector<unsigned int>& getAdditionalDofDependencies(unsigned int bulkElementIdx) const
+ { return bulkCircleStencils_.count(bulkElementIdx) ? bulkCircleStencils_.at(bulkElementIdx) : emptyStencil_; }
+
+protected:
+ //! Return reference to point source data vector member
+ std::vector<PointSourceData>& pointSourceData()
+ { return pointSourceData_; }
+
+ //! Return reference to bulk point sources
+ std::vector<BulkPointSource>& bulkPointSources()
+ { return bulkPointSources_; }
+
+ //! Return reference to low dim point sources
+ std::vector<LowDimPointSource>& lowDimPointSources()
+ { return lowDimPointSources_; }
+
+ //! Return reference to bulk coupling stencil member
+ std::unordered_map<unsigned int, std::vector<unsigned int> >& bulkCouplingStencils()
+ { return bulkCouplingStencils_; }
+
+ //! Return reference to low dim coupling stencil member
+ std::unordered_map<unsigned int, std::vector<unsigned int> >& lowDimCouplingStencils()
+ { return lowDimCouplingStencils_; }
+
+ //! Return a reference to an empty stencil
+ std::vector<unsigned int>& emptyStencil()
+ { return emptyStencil_; }
+
+private:
+ //! Returns the implementation of the problem (i.e. static polymorphism)
+ Implementation &asImp_()
+ { return *static_cast<Implementation *>(this); }
+
+ //! Returns the implementation of the problem (i.e. static polymorphism)
+ const Implementation &asImp_() const
+ { return *static_cast<const Implementation *>(this); }
+
+ std::vector<GlobalPosition> getCirclePoints_(const GlobalPosition& center,
+ const GlobalPosition& normal,
+ const Scalar radius,
+ const unsigned int numIp = 20)
+ {
+ const Scalar eps = 1.5e-7;
+ static_assert(dimWorld == 3, "Only implemented for world dimension 3");
+
+ std::vector<GlobalPosition> points(numIp);
+
+ // make sure n is a unit vector
+ auto n = normal;
+ n /= n.two_norm();
+
+ // caculate a vector u perpendicular to n
+ GlobalPosition u;
+ if (std::abs(n[0]) < eps && std::abs(n[1]) < eps)
+ if (std::abs(n[2]) < eps)
+ DUNE_THROW(Dune::MathError, "The normal vector has to be non-zero!");
+ else
+ u = {0, 1, 0};
+ else
+ u = {-n[1], n[0], 0};
+
+ u *= radius/u.two_norm();
+
+ // the circle parameterization is p(t) = r*cos(t)*u + r*sin(t)*(n x u) + c
+ auto tangent = crossProduct(u, n);
+ tangent *= radius/tangent.two_norm();
+
+ // the parameter with an offset
+ Scalar t = 0 + 0.1;
+ // insert the vertices
+ for (unsigned int i = 0; i < numIp; ++i)
+ {
+ points[i] = GlobalPosition({u[0]*std::cos(t) + tangent[0]*std::sin(t) + center[0],
+ u[1]*std::cos(t) + tangent[1]*std::sin(t) + center[1],
+ u[2]*std::cos(t) + tangent[2]*std::sin(t) + center[2]});
+
+ t += 2*M_PI/numIp;
+
+ // periodic t
+ if(t > 2*M_PI)
+ t -= 2*M_PI;
+ }
+
+ return points;
+ }
+
+ BulkProblem& bulkProblem_;
+ LowDimProblem& lowDimProblem_;
+
+ std::vector<BulkPointSource> bulkPointSources_;
+ std::vector<LowDimPointSource> lowDimPointSources_;
+
+ mutable std::vector<PointSourceData> pointSourceData_;
+
+ std::unordered_map<unsigned int, std::vector<unsigned int> > bulkCouplingStencils_;
+ std::unordered_map<unsigned int, std::vector<unsigned int> > lowDimCouplingStencils_;
+ std::vector<unsigned int> emptyStencil_;
+
+ // circle stencils
+ std::unordered_map<unsigned int, std::vector<unsigned int> > bulkCircleStencils_;
+ std::unordered_map<unsigned int, std::vector<unsigned int> > lowDimCircleStencils_;
+
+ //! vector for the volume fraction of the lowdim domain in the bulk domain cells
+ std::vector<Scalar> lowDimVolumeInBulkElement_;
+
+ //! id generator for point sources
+ unsigned int idCounter_;
+};
+
+} // end namespace Dumux
+
+#endif
diff --git a/dumux/mixeddimension/embedded/cellcentered/bboxtreecouplingmanagersimple.hh b/dumux/mixeddimension/embedded/cellcentered/bboxtreecouplingmanagersimple.hh
new file mode 100644
index 0000000000000000000000000000000000000000..2fe54b415ecabd4f2ee3f06801fb7656705b39bf
--- /dev/null
+++ b/dumux/mixeddimension/embedded/cellcentered/bboxtreecouplingmanagersimple.hh
@@ -0,0 +1,498 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ * See the file COPYING for full copying permissions. *
+ * *
+ * This program is free software: you can redistribute it and/or modify *
+ * it under the terms of the GNU General Public License as published by *
+ * the Free Software Foundation, either version 2 of the License, or *
+ * (at your option) any later version. *
+ * *
+ * This program is distributed in the hope that it will be useful, *
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of *
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
+ * GNU General Public License for more details. *
+ * *
+ * You should have received a copy of the GNU General Public License *
+ * along with this program. If not, see <http://www.gnu.org/licenses/>. *
+ *****************************************************************************/
+/*!
+ * \file
+ * \ingroup EmbeddedCoupling
+ * \ingroup CCModel
+ * \brief Coupling manager for low-dimensional domains embedded in the bulk
+ * domain. Point sources on each integration point are computed by an AABB tree.
+ * Both domain are assumed to be discretized using a cc finite volume scheme.
+ */
+
+#ifndef DUMUX_CC_BBOXTREE_EMBEDDEDCOUPLINGMANAGER_SIMPLE_HH
+#define DUMUX_CC_BBOXTREE_EMBEDDEDCOUPLINGMANAGER_SIMPLE_HH
+
+#include <iostream>
+#include <fstream>
+#include <string>
+#include <utility>
+
+#include <dune/common/timer.hh>
+#include <dune/geometry/quadraturerules.hh>
+#include <dune/geometry/referenceelements.hh>
+
+#include <dumux/mixeddimension/glue/glue.hh>
+#include <dumux/mixeddimension/embedded/cellcentered/pointsourcedata.hh>
+
+namespace Dumux
+{
+
+namespace Properties
+{
+// Property forward declarations
+NEW_PROP_TAG(BulkProblemTypeTag);
+NEW_PROP_TAG(LowDimProblemTypeTag);
+NEW_PROP_TAG(GridView);
+} // namespace Properties
+
+/*!
+ * \ingroup EmbeddedCoupling
+ * \ingroup CCModel
+ * \brief Manages the coupling between bulk elements and lower dimensional elements
+ * Point sources on each integration point are computed by an AABB tree.
+ * Both domain are assumed to be discretized using a cc finite volume scheme.
+ */
+template<class TypeTag>
+class CCBBoxTreeEmbeddedCouplingManagerSimple
+{
+ using Implementation = typename GET_PROP_TYPE(TypeTag, CouplingManager);
+ using Scalar = typename GET_PROP_TYPE(TypeTag, Scalar);
+ using Problem = typename GET_PROP_TYPE(TypeTag, Problem);
+ using PointSourceData = Dumux::PointSourceData<TypeTag>;
+
+ // obtain the type tags of the sub problems
+ using BulkProblemTypeTag = typename GET_PROP_TYPE(TypeTag, BulkProblemTypeTag);
+ using LowDimProblemTypeTag = typename GET_PROP_TYPE(TypeTag, LowDimProblemTypeTag);
+
+ using BulkGridView = typename GET_PROP_TYPE(BulkProblemTypeTag, GridView);
+ using BulkProblem = typename GET_PROP_TYPE(BulkProblemTypeTag, Problem);
+ using BulkPointSource = typename GET_PROP_TYPE(BulkProblemTypeTag, PointSource);
+ using BulkPrimaryVariables = typename GET_PROP_TYPE(BulkProblemTypeTag, PrimaryVariables);
+ using BulkElementSolutionVector = typename GET_PROP_TYPE(BulkProblemTypeTag, ElementSolutionVector);
+ using BulkVolumeVariables = typename GET_PROP_TYPE(BulkProblemTypeTag, VolumeVariables);
+ using BulkElementVolumeVariables = typename GET_PROP_TYPE(BulkProblemTypeTag, ElementVolumeVariables);
+ using BulkFVElementGeometry = typename GET_PROP_TYPE(BulkProblemTypeTag, FVElementGeometry);
+ using BulkElementBoundaryTypes = typename GET_PROP_TYPE(BulkProblemTypeTag, ElementBoundaryTypes);
+ using BulkElementFluxVariablesCache = typename GET_PROP_TYPE(BulkProblemTypeTag, ElementFluxVariablesCache);
+ using BulkElement = typename BulkGridView::template Codim<0>::Entity;
+
+ using LowDimGridView = typename GET_PROP_TYPE(LowDimProblemTypeTag, GridView);
+ using LowDimProblem = typename GET_PROP_TYPE(LowDimProblemTypeTag, Problem);
+ using LowDimPointSource = typename GET_PROP_TYPE(LowDimProblemTypeTag, PointSource);
+ using LowDimPrimaryVariables = typename GET_PROP_TYPE(LowDimProblemTypeTag, PrimaryVariables);
+ using LowDimVolumeVariables = typename GET_PROP_TYPE(BulkProblemTypeTag, VolumeVariables);
+ using LowDimElementVolumeVariables = typename GET_PROP_TYPE(LowDimProblemTypeTag, ElementVolumeVariables);
+ using LowDimFVElementGeometry = typename GET_PROP_TYPE(LowDimProblemTypeTag, FVElementGeometry);
+ using LowDimElementBoundaryTypes = typename GET_PROP_TYPE(LowDimProblemTypeTag, ElementBoundaryTypes);
+ using LowDimElementFluxVariablesCache = typename GET_PROP_TYPE(LowDimProblemTypeTag, ElementFluxVariablesCache);
+ using LowDimElement = typename LowDimGridView::template Codim<0>::Entity;
+
+ enum {
+ bulkDim = BulkGridView::dimension,
+ lowDimDim = LowDimGridView::dimension,
+ dimWorld = BulkGridView::dimensionworld
+ };
+
+public:
+
+ /*!
+ * \brief Constructor
+ */
+ CCBBoxTreeEmbeddedCouplingManagerSimple(BulkProblem& bulkProblem, LowDimProblem& lowDimProblem)
+ : bulkProblem_(bulkProblem), lowDimProblem_(lowDimProblem)
+ {
+ // Check if we are using the cellcentered method in both domains
+ static_assert(lowDimDim == 1, "The bounding box coupling manager only works with one-dimensional low-dim grids");
+ }
+
+ /*!
+ * \brief Methods to be accessed by the coupled problem
+ */
+ // \{
+
+ /*!
+ * \brief Called by the coupled problem before
+ * initializing the subproblems / models
+ */
+ void preInit()
+ {
+ asImp_().computePointSourceData();
+ }
+
+ /*!
+ * \brief Called by the coupled problem after
+ * initializing the subproblems / models
+ */
+ void postInit()
+ {}
+
+ /*!
+ * \brief The bulk coupling stencil, i.e. which low-dimensional dofs
+ * the given bulk element dof depends on.
+ */
+ const std::vector<unsigned int>& couplingStencil(const BulkElement& element) const
+ {
+ const unsigned int eIdx = bulkProblem().elementMapper().index(element);
+ if (bulkCouplingStencils_.count(eIdx))
+ return bulkCouplingStencils_.at(eIdx);
+ else
+ return emptyStencil_;
+ }
+
+ /*!
+ * \brief The low dim coupling stencil, i.e. which bulk dofs
+ * the given low dimensional element dof depends on.
+ */
+ const std::vector<unsigned int>& couplingStencil(const LowDimElement& element) const
+ {
+ const unsigned int eIdx = lowDimProblem().elementMapper().index(element);
+ if (lowDimCouplingStencils_.count(eIdx))
+ return lowDimCouplingStencils_.at(eIdx);
+ else
+ return emptyStencil_;
+ }
+
+ //! evaluate coupling residual for the derivative bulk DOF with respect to low dim DOF
+ //! we only need to evaluate the part of the residual that will be influence by the low dim DOF
+ BulkPrimaryVariables evalCouplingResidual(const BulkElement& element,
+ const BulkFVElementGeometry& fvGeometry,
+ const BulkElementVolumeVariables& curElemVolVars,
+ const BulkElementBoundaryTypes& elemBcTypes,
+ const BulkElementFluxVariablesCache& elemFluxVarsCache,
+ const LowDimElement& lowDimElement)
+ {
+ const auto bulkElementIdx = bulkProblem().elementMapper().index(element);
+ auto&& scv = fvGeometry.scv(bulkElementIdx);
+ auto couplingSource = bulkProblem().scvPointSources(element, fvGeometry, curElemVolVars, scv);
+ couplingSource *= -scv.volume()*curElemVolVars[scv].extrusionFactor();
+ return couplingSource;
+ }
+
+ //! evaluate coupling residual for the derivative low dim DOF with respect to bulk DOF
+ //! we only need to evaluate the part of the residual that will be influence by the bulk DOF
+ LowDimPrimaryVariables evalCouplingResidual(const LowDimElement& element,
+ const LowDimFVElementGeometry& fvGeometry,
+ const LowDimElementVolumeVariables& curElemVolVars,
+ const LowDimElementBoundaryTypes& elemBcTypes,
+ const LowDimElementFluxVariablesCache& elemFluxVarsCache,
+ const BulkElement& bulkElement)
+ {
+ const auto lowDimElementIdx = lowDimProblem().elementMapper().index(element);
+ auto&& scv = fvGeometry.scv(lowDimElementIdx);
+ auto couplingSource = lowDimProblem().scvPointSources(element, fvGeometry, curElemVolVars, scv);
+ couplingSource *= -scv.volume()*curElemVolVars[scv].extrusionFactor();
+ return couplingSource;
+ }
+
+ // \}
+
+ /* \brief Compute integration point point sources and associated data
+ *
+ * This method uses grid glue to intersect the given grids. Over each intersection
+ * we later need to integrate a source term. This method places point sources
+ * at each quadrature point and provides the point source with the necessary
+ * information to compute integrals (quadrature weight and integration element)
+ * \param order The order of the quadrature rule for integration of sources over an intersection
+ * \param verbose If the point source computation is verbose
+ */
+ void computePointSourceData(unsigned int order = 1, bool verbose = false)
+ {
+ // initilize the maps
+ // do some logging and profiling
+ Dune::Timer watch;
+ std::cout << "Initializing the point sources..." << std::endl;
+
+ // clear all internal members like pointsource vectors and stencils
+ // initializes the point source id counter
+ clear();
+
+ // a vector for the volumes the low-dim domain occupies in the bulk domain if it were full-dimensional
+ lowDimVolumeInBulkElement_.resize(this->bulkGridView().size(0));
+
+ // intersect the bounding box trees
+ Dumux::CCMultiDimensionGlue<TypeTag> glue(bulkProblem(), lowDimProblem());
+ glue.build();
+
+ for (const auto& is : intersections(glue))
+ {
+ // all inside elements are identical...
+ const auto& inside = is.inside(0);
+ // get the intersection geometry for integrating over it
+ const auto intersectionGeometry = is.geometry();
+
+ // get the Gaussian quadrature rule for the local intersection
+ const auto& quad = Dune::QuadratureRules<Scalar, lowDimDim>::rule(intersectionGeometry.type(), order);
+ const unsigned int lowDimElementIdx = lowDimProblem().elementMapper().index(inside);
+
+ // compute the volume the low-dim domain occupies in the bulk domain if it were full-dimensional
+ const auto radius = lowDimProblem().spatialParams().radius(lowDimElementIdx);
+ for (unsigned int outsideIdx = 0; outsideIdx < is.neighbor(0); ++outsideIdx)
+ {
+ const auto& outside = is.outside(outsideIdx);
+ const unsigned int bulkElementIdx = bulkProblem().elementMapper().index(outside);
+ lowDimVolumeInBulkElement_[bulkElementIdx] += intersectionGeometry.volume()*M_PI*radius*radius;
+ }
+
+ // iterate over all quadrature points
+ for (auto&& qp : quad)
+ {
+ // compute the coupling stencils
+ for (unsigned int outsideIdx = 0; outsideIdx < is.neighbor(0); ++outsideIdx)
+ {
+ const auto& outside = is.outside(outsideIdx);
+ const unsigned int bulkElementIdx = bulkProblem().elementMapper().index(outside);
+
+ // each quadrature point will be a point source for the sub problem
+ const auto globalPos = intersectionGeometry.global(qp.position());
+ const auto id = idCounter_++;
+ const auto qpweight = qp.weight();
+ const auto ie = intersectionGeometry.integrationElement(qp.position());
+ bulkPointSources_.emplace_back(globalPos, id, qpweight, ie, std::vector<unsigned int>({bulkElementIdx}));
+ bulkPointSources_.back().setEmbeddings(is.neighbor(0));
+ lowDimPointSources_.emplace_back(globalPos, id, qpweight, ie, std::vector<unsigned int>({lowDimElementIdx}));
+ lowDimPointSources_.back().setEmbeddings(is.neighbor(0));
+
+ // pre compute additional data used for the evaluation of
+ // the actual solution dependent source term
+ PointSourceData psData;
+ psData.addLowDimInterpolation(lowDimElementIdx);
+ psData.addBulkInterpolation(bulkElementIdx);
+
+ // publish point source data in the global vector
+ pointSourceData_.push_back(psData);
+
+ // compute the coupling stencils
+ bulkCouplingStencils_[bulkElementIdx].push_back(lowDimElementIdx);
+ // add this bulk element to the low dim coupling stencil
+ lowDimCouplingStencils_[lowDimElementIdx].push_back(bulkElementIdx);
+ }
+ }
+ }
+
+ // coupling stencils
+ for (auto&& stencil : bulkCouplingStencils_)
+ {
+ std::sort(stencil.second.begin(), stencil.second.end());
+ stencil.second.erase(std::unique(stencil.second.begin(), stencil.second.end()), stencil.second.end());
+ }
+ // the low dim coupling stencil
+ for (auto&& stencil : lowDimCouplingStencils_)
+ {
+ std::sort(stencil.second.begin(), stencil.second.end());
+ stencil.second.erase(std::unique(stencil.second.begin(), stencil.second.end()), stencil.second.end());
+ }
+
+ std::cout << "took " << watch.elapsed() << " seconds." << std::endl;
+ }
+
+ /*!
+ * \brief Methods to be accessed by the subproblems
+ */
+ // \{
+
+ //! Return a reference to the bulk problem
+ Scalar radius(unsigned int id) const
+ {
+ const auto& data = pointSourceData_[id];
+ return lowDimProblem().spatialParams().radius(data.lowDimElementIdx());
+ }
+
+ //! The volume the lower dimensional domain occupies in the bulk domain element
+ // For one-dimensional low dim domain we assume radial tubes
+ Scalar lowDimVolume(const BulkElement& element) const
+ {
+ auto eIdx = bulkProblem().elementMapper().index(element);
+ return lowDimVolumeInBulkElement_[eIdx];
+ }
+
+ //! The volume fraction the lower dimensional domain occupies in the bulk domain element
+ // For one-dimensional low dim domain we assume radial tubes
+ Scalar lowDimVolumeFraction(const BulkElement& element) const
+ {
+ auto totalVolume = element.geometry().volume();
+ return asImp_().lowDimVolume(element) / totalVolume;
+ }
+
+ //! Return a reference to the pointSource data
+ const PointSourceData& pointSourceData(unsigned int id) const
+ {
+ return pointSourceData_[id];
+ }
+
+ //! Return a reference to the bulk problem
+ const BulkProblem& bulkProblem() const
+ {
+ return bulkProblem_;
+ }
+
+ //! Return a reference to the low dimensional problem
+ const LowDimProblem& lowDimProblem() const
+ {
+ return lowDimProblem_;
+ }
+
+ //! Return a reference to the bulk problem
+ BulkProblem& bulkProblem()
+ {
+ return bulkProblem_;
+ }
+
+ //! Return a reference to the low dimensional problem
+ LowDimProblem& lowDimProblem()
+ {
+ return lowDimProblem_;
+ }
+
+ //! Return a reference to the bulk problem
+ const BulkGridView& bulkGridView() const
+ {
+ return bulkProblem().gridView();
+ }
+
+ //! Return a reference to the low dimensional problem
+ const LowDimGridView& lowDimGridView() const
+ {
+ return lowDimProblem().gridView();
+ }
+
+ //! Return a reference to the point sources
+ const std::vector<BulkPointSource>& bulkPointSources() const
+ {
+ return bulkPointSources_;
+ }
+
+ //! Return a reference to the low dimensional problem
+ const std::vector<LowDimPointSource>& lowDimPointSources() const
+ {
+ return lowDimPointSources_;
+ }
+
+ //! Return data for a bulk point source with the identifier id
+ BulkPrimaryVariables bulkPriVars(unsigned int id) const
+ {
+ auto& data = pointSourceData_[id];
+ return data.interpolateBulk(bulkProblem().model().curSol());
+ }
+
+ //! Return data for a low dim point source with the identifier id
+ LowDimPrimaryVariables lowDimPriVars(unsigned int id) const
+ {
+ auto& data = pointSourceData_[id];
+ return data.interpolateLowDim(lowDimProblem().model().curSol());
+ }
+
+ //! Compute bulk volume variables for the identifier id
+ BulkVolumeVariables bulkVolVars(unsigned int id) const
+ {
+ // use circle interpolated data and construct volVar object for the interpolated privars
+ auto& data = pointSourceData_[id];
+ auto bulkPriVars = data.interpolateBulk(bulkProblem().model().curSol());
+
+ const auto element = bulkProblem().model().globalFvGeometry().element(data.bulkElementIdx());
+ auto fvGeometry = localView(bulkProblem().model().globalFvGeometry());
+ fvGeometry.bindElement(element);
+
+ BulkVolumeVariables volVars;
+ volVars.update(BulkElementSolutionVector({bulkPriVars}),
+ bulkProblem(),
+ element,
+ fvGeometry.scv(data.bulkElementIdx()));
+
+ return volVars;
+ }
+
+ //! Compute lowDim volume variables for the identifier id
+ LowDimVolumeVariables lowDimVolVars(unsigned int id) const
+ {
+ const auto& data = pointSourceData_[id];
+ const auto element = lowDimProblem().model().globalFvGeometry().element(data.lowDimElementIdx());
+ auto fvGeometry = localView(lowDimProblem().model().globalFvGeometry());
+ fvGeometry.bindElement(element);
+
+ const auto& curSol = lowDimProblem().model().curSol();
+ LowDimVolumeVariables volVars;
+ volVars.update(lowDimProblem().model().elementSolution(element, curSol),
+ lowDimProblem(),
+ element,
+ fvGeometry.scv(data.lowDimElementIdx()));
+
+ return volVars;
+ }
+ // \}
+
+ //! Clear all internal data members
+ void clear()
+ {
+ bulkPointSources_.clear();
+ lowDimPointSources_.clear();
+ pointSourceData_.clear();
+ bulkCouplingStencils_.clear();
+ lowDimCouplingStencils_.clear();
+ idCounter_ = 0;
+ }
+
+ const std::vector<unsigned int>& getAdditionalDofDependencies(unsigned int bulkElementIdx) const
+ { return emptyStencil_; }
+
+protected:
+ //! Return reference to point source data vector member
+ std::vector<PointSourceData>& pointSourceData()
+ { return pointSourceData_; }
+
+ //! Return reference to bulk point sources
+ std::vector<BulkPointSource>& bulkPointSources()
+ { return bulkPointSources_; }
+
+ //! Return reference to low dim point sources
+ std::vector<LowDimPointSource>& lowDimPointSources()
+ { return lowDimPointSources_; }
+
+ //! Return reference to bulk coupling stencil member
+ std::unordered_map<unsigned int, std::vector<unsigned int> >& bulkCouplingStencils()
+ { return bulkCouplingStencils_; }
+
+ //! Return reference to low dim coupling stencil member
+ std::unordered_map<unsigned int, std::vector<unsigned int> >& lowDimCouplingStencils()
+ { return lowDimCouplingStencils_; }
+
+ //! Return a reference to an empty stencil
+ std::vector<unsigned int>& emptyStencil()
+ { return emptyStencil_; }
+
+private:
+ //! Returns the implementation of the problem (i.e. static polymorphism)
+ Implementation &asImp_()
+ { return *static_cast<Implementation *>(this); }
+
+ //! Returns the implementation of the problem (i.e. static polymorphism)
+ const Implementation &asImp_() const
+ { return *static_cast<const Implementation *>(this); }
+
+ BulkProblem& bulkProblem_;
+ LowDimProblem& lowDimProblem_;
+
+ std::vector<BulkPointSource> bulkPointSources_;
+ std::vector<LowDimPointSource> lowDimPointSources_;
+
+ mutable std::vector<PointSourceData> pointSourceData_;
+
+ std::unordered_map<unsigned int, std::vector<unsigned int> > bulkCouplingStencils_;
+ std::unordered_map<unsigned int, std::vector<unsigned int> > lowDimCouplingStencils_;
+ std::vector<unsigned int> emptyStencil_;
+
+ //! vector for the volume fraction of the lowdim domain in the bulk domain cells
+ std::vector<Scalar> lowDimVolumeInBulkElement_;
+
+ //! id generator for point sources
+ unsigned int idCounter_;
+};
+
+} // end namespace Dumux
+
+#endif
diff --git a/dumux/mixeddimension/embedded/cellcentered/pointsourcedata.hh b/dumux/mixeddimension/embedded/cellcentered/pointsourcedata.hh
new file mode 100644
index 0000000000000000000000000000000000000000..5c92be47461ad76528033b29bd1a831ae6448a88
--- /dev/null
+++ b/dumux/mixeddimension/embedded/cellcentered/pointsourcedata.hh
@@ -0,0 +1,259 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ * See the file COPYING for full copying permissions. *
+ * *
+ * This program is free software: you can redistribute it and/or modify *
+ * it under the terms of the GNU General Public License as published by *
+ * the Free Software Foundation, either version 2 of the License, or *
+ * (at your option) any later version. *
+ * *
+ * This program is distributed in the hope that it will be useful, *
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of *
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
+ * GNU General Public License for more details. *
+ * *
+ * You should have received a copy of the GNU General Public License *
+ * along with this program. If not, see <http://www.gnu.org/licenses/>. *
+ *****************************************************************************/
+/*!
+ * \file
+ * \ingroup EmbeddedCoupling
+ * \brief Data associated with a point source
+ */
+
+#ifndef DUMUX_POINTSOURCEDATA_HH
+#define DUMUX_POINTSOURCEDATA_HH
+
+namespace Dumux
+{
+
+namespace Properties
+{
+// Property forward declarations
+NEW_PROP_TAG(BulkProblemTypeTag);
+NEW_PROP_TAG(LowDimProblemTypeTag);
+NEW_PROP_TAG(Scalar);
+NEW_PROP_TAG(PrimaryVariables);
+} // namespace Properties
+
+
+/*!
+ * \ingroup EmbeddedCoupling
+ * \brief A point source data class used for integration in multidimension models
+ * \note The point source and related data are connected via an identifier (id)
+ */
+template<class TypeTag>
+class PointSourceData
+{
+ typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+ typedef typename std::vector<Dune::FieldVector<Scalar, 1> > ShapeValues;
+
+ // obtain the type tags of the sub problems
+ typedef typename GET_PROP_TYPE(TypeTag, BulkProblemTypeTag) BulkProblemTypeTag;
+ typedef typename GET_PROP_TYPE(TypeTag, LowDimProblemTypeTag) LowDimProblemTypeTag;
+
+ typedef typename GET_PROP_TYPE(BulkProblemTypeTag, PrimaryVariables) BulkPrimaryVariables;
+ typedef typename GET_PROP_TYPE(LowDimProblemTypeTag, PrimaryVariables) LowDimPrimaryVariables;
+
+ typedef typename GET_PROP_TYPE(BulkProblemTypeTag, SolutionVector) BulkSolutionVector;
+ typedef typename GET_PROP_TYPE(LowDimProblemTypeTag, SolutionVector) LowDimSolutionVector;
+
+ enum {
+ bulkIsBox = GET_PROP_VALUE(BulkProblemTypeTag, ImplicitIsBox),
+ lowDimIsBox = GET_PROP_VALUE(LowDimProblemTypeTag, ImplicitIsBox)
+ };
+
+public:
+ void addBulkInterpolation(const ShapeValues& shapeValues,
+ const std::vector<unsigned int>& cornerIndices,
+ unsigned int eIdx)
+ {
+ bulkElementIdx_ = eIdx;
+ bulkCornerIndices_ = cornerIndices;
+ bulkShapeValues_ = shapeValues;
+ }
+
+ void addLowDimInterpolation(const ShapeValues& shapeValues,
+ const std::vector<unsigned int>& cornerIndices,
+ unsigned int eIdx)
+ {
+ lowDimElementIdx_ = eIdx;
+ lowDimCornerIndices_ = cornerIndices;
+ lowDimShapeValues_ = shapeValues;
+ }
+
+ void addBulkInterpolation(unsigned int eIdx)
+ {
+ bulkElementIdx_ = eIdx;
+ }
+
+ void addLowDimInterpolation(unsigned int eIdx)
+ {
+ lowDimElementIdx_ = eIdx;
+ }
+
+ BulkPrimaryVariables interpolateBulk(const BulkSolutionVector& sol)
+ {
+ BulkPrimaryVariables bulkPriVars(0.0);
+ if (bulkIsBox)
+ {
+ for (unsigned int i = 0; i < bulkCornerIndices_.size(); ++i)
+ for (unsigned int priVarIdx = 0; priVarIdx < bulkPriVars_.size(); ++priVarIdx)
+ bulkPriVars_[priVarIdx] += sol[bulkCornerIndices_[i]][priVarIdx]*bulkShapeValues_[i];
+ }
+ else
+ {
+ bulkPriVars = sol[bulkElementIdx()];
+ }
+ return bulkPriVars;
+ }
+
+ LowDimPrimaryVariables interpolateLowDim(const LowDimSolutionVector& sol)
+ {
+ LowDimPrimaryVariables lowDimPriVars(0.0);
+ if (lowDimIsBox)
+ {
+ for (unsigned int i = 0; i < lowDimCornerIndices_.size(); ++i)
+ for (unsigned int priVarIdx = 0; priVarIdx < lowDimPriVars_.size(); ++priVarIdx)
+ lowDimPriVars_[priVarIdx] += sol[lowDimCornerIndices_[i]][priVarIdx]*lowDimShapeValues_[i];
+ }
+ else
+ {
+ lowDimPriVars = sol[lowDimElementIdx()];
+ }
+ return lowDimPriVars;
+ }
+
+ unsigned int lowDimElementIdx() const
+ { return lowDimElementIdx_; }
+
+ unsigned int bulkElementIdx() const
+ { return bulkElementIdx_; }
+
+private:
+ ShapeValues bulkShapeValues_, lowDimShapeValues_;
+ std::vector<unsigned int> bulkCornerIndices_, lowDimCornerIndices_;
+ BulkPrimaryVariables bulkPriVars_;
+ LowDimPrimaryVariables lowDimPriVars_;
+ unsigned int lowDimElementIdx_;
+ unsigned int bulkElementIdx_;
+};
+
+/*!
+ * \ingroup EmbeddedCoupling
+ * \brief A point source data class used for integration in multidimension models
+ * \note The point source and related data are connected via an identifier (id)
+ * When explicitly computing the circle average, i.e. the pressure for
+ * the source term is computed as an integral over the circle describing
+ * the surface of the one-dimensional tube. This exact determination of the bulk pressure
+ * is necessary for convergence studies.
+ */
+template<class TypeTag>
+class PointSourceDataCircleAverage : public PointSourceData<TypeTag>
+{
+ using ParentType = PointSourceData<TypeTag>;
+ typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+ typedef typename std::vector<Dune::FieldVector<Scalar, 1> > ShapeValues;
+
+ // obtain the type tags of the sub problems
+ typedef typename GET_PROP_TYPE(TypeTag, BulkProblemTypeTag) BulkProblemTypeTag;
+ typedef typename GET_PROP_TYPE(TypeTag, LowDimProblemTypeTag) LowDimProblemTypeTag;
+
+ typedef typename GET_PROP_TYPE(BulkProblemTypeTag, PrimaryVariables) BulkPrimaryVariables;
+ typedef typename GET_PROP_TYPE(LowDimProblemTypeTag, PrimaryVariables) LowDimPrimaryVariables;
+
+ typedef typename GET_PROP_TYPE(BulkProblemTypeTag, SolutionVector) BulkSolutionVector;
+ typedef typename GET_PROP_TYPE(LowDimProblemTypeTag, SolutionVector) LowDimSolutionVector;
+
+ enum {
+ bulkIsBox = GET_PROP_VALUE(BulkProblemTypeTag, ImplicitIsBox),
+ lowDimIsBox = GET_PROP_VALUE(LowDimProblemTypeTag, ImplicitIsBox)
+ };
+
+public:
+ PointSourceDataCircleAverage() : enableBulkCircleInterpolation_(false) {}
+
+ BulkPrimaryVariables interpolateBulk(const BulkSolutionVector& sol)
+ {
+ // bulk interpolation on the circle is only enabled for source in the
+ // lower dimensional domain if we use a circle distributed bulk sources
+ // (see coupling manager circle sources)
+ BulkPrimaryVariables bulkPriVars(0.0);
+ if (enableBulkCircleInterpolation_)
+ {
+ // compute the average of the bulk pressure over the circle around the integration point
+ // this computes $\bar{p} = \frac{1}{2\pi R} int_0^2*\pi p R \text{d}\theta.
+ if (bulkIsBox)
+ {
+ assert(circleCornerIndices_.size() == circleShapeValues_.size());
+
+ Scalar weightSum = 0.0;
+ for (unsigned int j = 0; j < circleStencil_.size(); ++j)
+ {
+ BulkPrimaryVariables priVars = 0.0;
+ for (unsigned int i = 0; i < circleCornerIndices_[j].size(); ++i)
+ for (unsigned int priVarIdx = 0; priVarIdx < priVars.size(); ++priVarIdx)
+ priVars[priVarIdx] += sol[circleCornerIndices_[j][i]][priVarIdx]*circleShapeValues_[j][i];
+ // multiply with weight and add
+ priVars *= circleIpWeight_[j];
+ weightSum += circleIpWeight_[j];
+ bulkPriVars += priVars;
+ }
+ bulkPriVars /= weightSum;
+ }
+ else
+ {
+ Scalar weightSum = 0.0;
+ for (unsigned int j = 0; j < circleStencil_.size(); ++j)
+ {
+ bulkPriVars += sol[circleStencil_[j]]*circleIpWeight_[j];
+ weightSum += circleIpWeight_[j];
+ }
+ bulkPriVars /= weightSum;
+ }
+ return bulkPriVars;
+ }
+ else
+ {
+ return ParentType::interpolateBulk(sol);
+ }
+ }
+
+ void addCircleInterpolation(const std::vector<std::vector<unsigned int> >& circleCornerIndices,
+ const std::vector<ShapeValues>& circleShapeValues,
+ const std::vector<Scalar>& circleIpWeight,
+ const std::vector<unsigned int>& circleStencil)
+ {
+ circleCornerIndices_ = circleCornerIndices;
+ circleShapeValues_ = circleShapeValues;
+ circleIpWeight_ = circleIpWeight;
+ circleStencil_ = circleStencil;
+ enableBulkCircleInterpolation_ = true;
+
+ }
+
+ void addCircleInterpolation(const std::vector<Scalar>& circleIpWeight,
+ const std::vector<unsigned int>& circleStencil)
+ {
+ circleIpWeight_ = circleIpWeight;
+ circleStencil_ = circleStencil;
+ enableBulkCircleInterpolation_ = true;
+ }
+
+ const std::vector<unsigned int>& circleStencil()
+ {
+ return circleStencil_;
+ }
+
+private:
+ std::vector<std::vector<unsigned int> > circleCornerIndices_;
+ std::vector<ShapeValues> circleShapeValues_;
+ std::vector<Scalar> circleIpWeight_;
+ std::vector<unsigned int> circleStencil_;
+ bool enableBulkCircleInterpolation_;
+};
+
+} // end namespace Dumux
+
+#endif
diff --git a/dumux/mixeddimension/embedded/start.hh b/dumux/mixeddimension/embedded/start.hh
new file mode 100644
index 0000000000000000000000000000000000000000..5e49a74b98c75f8d27a5daef64cc610ad1cfcf76
--- /dev/null
+++ b/dumux/mixeddimension/embedded/start.hh
@@ -0,0 +1,203 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ * See the file COPYING for full copying permissions. *
+ * *
+ * This program is free software: you can redistribute it and/or modify *
+ * it under the terms of the GNU General Public License as published by *
+ * the Free Software Foundation, either version 2 of the License, or *
+ * (at your option) any later version. *
+ * *
+ * This program is distributed in the hope that it will be useful, *
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of *
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
+ * GNU General Public License for more details. *
+ * *
+ * You should have received a copy of the GNU General Public License *
+ * along with this program. If not, see <http://www.gnu.org/licenses/>. *
+ *****************************************************************************/
+/*!
+ * \file
+ * \ingroup EmbeddedCoupling
+ * \brief Provides a starting algorithm (a default main function) for multidimension problems
+ */
+#ifndef DUMUX_START_EMBEDDED_MIXEDDIMENSION_HH
+#define DUMUX_START_EMBEDDED_MIXEDDIMENSION_HH
+
+#include <ctime>
+#include <iostream>
+
+#include <dune/common/parallel/mpihelper.hh>
+#include <dune/grid/io/file/dgfparser/dgfexception.hh>
+
+#include <dumux/common/propertysystem.hh>
+#include <dumux/common/parameters.hh>
+#include <dumux/common/valgrind.hh>
+#include <dumux/common/dumuxmessage.hh>
+#include <dumux/common/defaultusagemessage.hh>
+#include <dumux/common/parameterparser.hh>
+
+namespace Dumux
+{
+// forward declaration of property tags
+namespace Properties
+{
+NEW_PROP_TAG(Scalar);
+NEW_PROP_TAG(GridCreator);
+NEW_PROP_TAG(Problem);
+NEW_PROP_TAG(TimeManager);
+NEW_PROP_TAG(LowDimProblemTypeTag);
+NEW_PROP_TAG(BulkProblemTypeTag);
+}
+
+template <class TypeTag>
+int start_(int argc,
+ char **argv,
+ void (*usage)(const char *, const std::string &))
+{
+ using Scalar = typename GET_PROP_TYPE(TypeTag, Scalar);
+ using ParameterTree = typename GET_PROP(TypeTag, ParameterTree);
+ using BulkProblemTypeTag = typename GET_PROP_TYPE(TypeTag, BulkProblemTypeTag);
+ using LowDimProblemTypeTag = typename GET_PROP_TYPE(TypeTag, LowDimProblemTypeTag);
+ using BulkGridCreator = typename GET_PROP_TYPE(BulkProblemTypeTag, GridCreator);
+ using LowDimGridCreator = typename GET_PROP_TYPE(LowDimProblemTypeTag, GridCreator);
+ using Problem = typename GET_PROP_TYPE(TypeTag, Problem);
+ using TimeManager = typename GET_PROP_TYPE(TypeTag, TimeManager);
+
+ // initialize MPI, finalize is done automatically on exit
+ const auto& mpiHelper = Dune::MPIHelper::instance(argc, argv);
+
+ // print dumux start message
+ if (mpiHelper.rank() == 0)
+ DumuxMessage::print(/*firstCall=*/true);
+
+ ////////////////////////////////////////////////////////////
+ // parse the command line arguments and input file
+ ////////////////////////////////////////////////////////////
+
+ // if the user just wanted to see the help / usage message show usage and stop program
+ if(!ParameterParser::parseCommandLineArguments(argc, argv, ParameterTree::tree(), usage))
+ {
+ usage(argv[0], defaultUsageMessage(argv[0]));
+ return 0;
+ }
+
+ // parse the input file into the parameter tree
+ // check first if the user provided an input file through the command line, if not use the default
+ const auto parameterFileName = ParameterTree::tree().hasKey("ParameterFile") ? GET_RUNTIME_PARAM(TypeTag, std::string, ParameterFile) : "";
+ ParameterParser::parseInputFile(argc, argv, ParameterTree::tree(), parameterFileName, usage);
+
+ ////////////////////////////////////////////////////////////
+ // check for some user debugging parameters
+ ////////////////////////////////////////////////////////////
+
+ bool printProps = false; // per default don't print all properties
+ if (ParameterTree::tree().hasKey("PrintProperties") || ParameterTree::tree().hasKey("TimeManager.PrintProperties"))
+ printProps = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, bool, TimeManager, PrintProperties);
+
+ if (printProps && mpiHelper.rank() == 0)
+ Properties::print<TypeTag>();
+
+ bool printParams = true; // per default print all properties
+ if (ParameterTree::tree().hasKey("PrintParameters") || ParameterTree::tree().hasKey("TimeManager.PrintParameters"))
+ printParams = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, bool, TimeManager, PrintParameters);
+
+ //////////////////////////////////////////////////////////////////////
+ // try to create a grid (from the given grid file or the input file)
+ /////////////////////////////////////////////////////////////////////
+
+ try { BulkGridCreator::makeGrid(); }
+ catch (...) {
+ std::string usageMessage = "\n\t -> Creation of the bulk grid failed! <- \n\n";
+ usageMessage += defaultUsageMessage(argv[0]);
+ usage(argv[0], usageMessage);
+ throw;
+ }
+ BulkGridCreator::loadBalance();
+
+ try { LowDimGridCreator::makeGrid(); }
+ catch (...) {
+ std::string usageMessage = "\n\t -> Creation of the low dim grid failed! <- \n\n";
+ usageMessage += defaultUsageMessage(argv[0]);
+ usage(argv[0], usageMessage);
+ throw;
+ }
+ LowDimGridCreator::loadBalance();
+
+
+ //////////////////////////////////////////////////////////////////////
+ // run the simulation
+ /////////////////////////////////////////////////////////////////////
+
+ // read the initial time step and the end time (mandatory parameters)
+ auto tEnd = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, TimeManager, TEnd);
+ auto dt = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, TimeManager, DtInitial);
+
+ // check if we are about to restart a previously interrupted simulation
+ bool restart = false;
+ Scalar restartTime = 0;
+ if (ParameterTree::tree().hasKey("Restart") || ParameterTree::tree().hasKey("TimeManager.Restart"))
+ {
+ restart = true;
+ restartTime = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, TimeManager, Restart);
+ }
+
+ // instantiate and run the concrete problem
+ TimeManager timeManager;
+ Problem problem(timeManager, BulkGridCreator::grid().leafGridView(), LowDimGridCreator::grid().leafGridView());
+ timeManager.init(problem, restartTime, dt, tEnd, restart);
+ timeManager.run();
+
+ // print dumux end message and maybe the parameters for debugging
+ if (mpiHelper.rank() == 0)
+ {
+ DumuxMessage::print(/*firstCall=*/false);
+
+ if (printParams)
+ Parameters::print<TypeTag>();
+ }
+
+ return 0;
+}
+
+/*!
+ * \ingroup Start
+ *
+ * \brief Provides a main function with error handling
+ *
+ * \tparam TypeTag The type tag of the problem which needs to be solved
+ *
+ * \param argc The number of command line arguments of the program
+ * \param argv The contents of the command line arguments of the program
+ * \param usage Callback function for printing the usage message
+ */
+template <class TypeTag>
+int start(int argc,
+ char **argv,
+ void (*usage)(const char *, const std::string &))
+{
+ try {
+ return start_<TypeTag>(argc, argv, usage);
+ }
+ catch (ParameterException &e) {
+ Parameters::print<TypeTag>();
+ std::cerr << std::endl << e << ". Abort!" << std::endl;
+ return 1;
+ }
+ catch (Dune::DGFException & e) {
+ std::cerr << "DGF exception thrown (" << e <<
+ "). Most likely, the DGF file name is wrong "
+ "or the DGF file is corrupted, "
+ "e.g. missing hash at end of file or wrong number (dimensions) of entries."
+ << std::endl;
+ return 2;
+ }
+ catch (Dune::Exception &e) {
+ std::cerr << "Dune reported error: " << e << std::endl;
+ return 3;
+ }
+}
+
+} // end namespace Dumux
+
+#endif
diff --git a/dumux/mixeddimension/glue/CMakeLists.txt b/dumux/mixeddimension/glue/CMakeLists.txt
new file mode 100644
index 0000000000000000000000000000000000000000..726d4493a65cc1c0da954a0b254dffa6ffef3217
--- /dev/null
+++ b/dumux/mixeddimension/glue/CMakeLists.txt
@@ -0,0 +1,3 @@
+install(FILES
+glue.hh
+DESTINATION ${CMAKE_INSTALL_INCLUDEDIR}/dumux/mixeddimension/glue)
diff --git a/dumux/mixeddimension/glue/glue.hh b/dumux/mixeddimension/glue/glue.hh
new file mode 100644
index 0000000000000000000000000000000000000000..090b66c888bbfa4b14b5f2a4c0417d61c70c79e6
--- /dev/null
+++ b/dumux/mixeddimension/glue/glue.hh
@@ -0,0 +1,268 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ * See the file COPYING for full copying permissions. *
+ * *
+ * This program is free software: you can redistribute it and/or modify *
+ * it under the terms of the GNU General Public License as published by *
+ * the Free Software Foundation, either version 2 of the License, or *
+ * (at your option) any later version. *
+ * *
+ * This program is distributed in the hope that it will be useful, *
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of *
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
+ * GNU General Public License for more details. *
+ * *
+ * You should have received a copy of the GNU General Public License *
+ * along with this program. If not, see <http://www.gnu.org/licenses/>. *
+ *****************************************************************************/
+/*!
+ * \file
+ * \ingroup EmbeddedCoupling
+ * \brief A class glueing two grids of different dimension geometrically
+ * Intersections are computed using axis-aligned bounding box trees
+ */
+
+#ifndef DUMUX_MULTIDIMENSION_GLUE_HH
+#define DUMUX_MULTIDIMENSION_GLUE_HH
+
+#include <iostream>
+#include <fstream>
+#include <string>
+#include <utility>
+
+#include <dune/common/timer.hh>
+#include <dune/common/iteratorrange.hh>
+#include <dune/geometry/affinegeometry.hh>
+
+#include <dumux/common/geometrycollision.hh>
+#include <dumux/common/boundingboxtree.hh>
+
+namespace Dumux
+{
+
+namespace Properties
+{
+// Property forward declarations
+NEW_PROP_TAG(BulkProblemTypeTag);
+NEW_PROP_TAG(LowDimProblemTypeTag);
+NEW_PROP_TAG(GridView);
+} // namespace Properties
+
+// forward declaration
+template<class TypeTag>
+class CCMultiDimensionGlue;
+
+//! Range generator to iterate with range-based for loops over all intersections
+//! as follows: for (const auto& is : intersections(glue)) { ... }
+template<typename TypeTag>
+Dune::IteratorRange<typename CCMultiDimensionGlue<TypeTag>::Intersections::const_iterator>
+intersections(const CCMultiDimensionGlue<TypeTag>& glue)
+{ return {glue.ibegin(), glue.iend()}; }
+
+namespace Glue
+{
+
+template<class TypeTag>
+class Intersection
+{
+ using Scalar = typename GET_PROP_TYPE(TypeTag, Scalar);
+
+ // obtain the type tags of the sub problems
+ using BulkProblemTypeTag = typename GET_PROP_TYPE(TypeTag, BulkProblemTypeTag);
+ using LowDimProblemTypeTag = typename GET_PROP_TYPE(TypeTag, LowDimProblemTypeTag);
+
+ using BulkGridView = typename GET_PROP_TYPE(BulkProblemTypeTag, GridView);
+ using LowDimGridView = typename GET_PROP_TYPE(LowDimProblemTypeTag, GridView);
+
+ enum {
+ bulkDim = BulkGridView::dimension,
+ lowDimDim = LowDimGridView::dimension,
+ dimWorld = BulkGridView::dimensionworld,
+ dimIs = LowDimGridView::dimension,
+ };
+
+ using BulkElement = typename BulkGridView::template Codim<0>::Entity;
+ using LowDimElement = typename LowDimGridView::template Codim<0>::Entity;
+
+ using LowDimTree = Dumux::BoundingBoxTree<LowDimGridView>;
+ using BulkTree = Dumux::BoundingBoxTree<BulkGridView>;
+
+ using Geometry = Dune::AffineGeometry<Scalar, dimIs, dimWorld>;
+ using GlobalPosition = Dune::FieldVector<Scalar, dimWorld>;
+
+public:
+ Intersection(const BulkTree& bulkTree, const LowDimTree& lowDimTree)
+ : bulkTree_(bulkTree), lowDimTree_(lowDimTree) {}
+
+ //! set the intersection geometry corners
+ void setCorners(const std::vector<GlobalPosition>& corners)
+ {
+ corners_ = corners;
+ assert(corners.size() == dimIs + 1);
+ type_.makeSimplex(dimIs);
+ }
+
+ //! add a pair of neighbor elements
+ void addNeighbors(unsigned int bulk, unsigned int lowDim)
+ {
+ neighbors_[0].push_back(bulk);
+ neighbors_[1].push_back(lowDim);
+ }
+
+ //! get the intersection geometry
+ Geometry geometry() const
+ { return Geometry(type_, corners_); }
+
+ //! get the number of neigbors
+ std::size_t neighbor(unsigned int side) const
+ { return neighbors_[side].size(); }
+
+ //! get the inside neighbor
+ LowDimElement inside(unsigned int n) const
+ { return lowDimTree_.entity(neighbors_[1][n]); }
+
+ //! get the outside neighbor
+ BulkElement outside(unsigned int n) const
+ { return bulkTree_.entity(neighbors_[0][n]); }
+
+private:
+ std::array<std::vector<unsigned int>, 2> neighbors_;
+ std::vector<GlobalPosition> corners_;
+ Dune::GeometryType type_;
+
+ const BulkTree& bulkTree_;
+ const LowDimTree& lowDimTree_;
+};
+}
+
+/*!
+ * \ingroup EmbeddedCoupling
+ * \ingroup CCModel
+ * \brief Manages the coupling between bulk elements and lower dimensional elements
+ * Point sources on each integration point are computed by an AABB tree.
+ * Both domain are assumed to be discretized using a cc finite volume scheme.
+ */
+template<class TypeTag>
+class CCMultiDimensionGlue
+{
+ using Scalar = typename GET_PROP_TYPE(TypeTag, Scalar);
+ using Problem = typename GET_PROP_TYPE(TypeTag, Problem);
+
+ // obtain the type tags of the sub problems
+ using BulkProblemTypeTag = typename GET_PROP_TYPE(TypeTag, BulkProblemTypeTag);
+ using LowDimProblemTypeTag = typename GET_PROP_TYPE(TypeTag, LowDimProblemTypeTag);
+
+ using BulkGridView = typename GET_PROP_TYPE(BulkProblemTypeTag, GridView);
+ using LowDimGridView = typename GET_PROP_TYPE(LowDimProblemTypeTag, GridView);
+
+ using BulkProblem = typename GET_PROP_TYPE(BulkProblemTypeTag, Problem);
+ using LowDimProblem = typename GET_PROP_TYPE(LowDimProblemTypeTag, Problem);
+
+ enum {
+ bulkDim = BulkGridView::dimension,
+ lowDimDim = LowDimGridView::dimension,
+ dimWorld = BulkGridView::dimensionworld
+ };
+
+ enum {
+ bulkIsBox = GET_PROP_VALUE(BulkProblemTypeTag, ImplicitIsBox),
+ lowDimIsBox = GET_PROP_VALUE(LowDimProblemTypeTag, ImplicitIsBox)
+ };
+
+ using BulkElement = typename BulkGridView::template Codim<0>::Entity;
+ using LowDimElement = typename LowDimGridView::template Codim<0>::Entity;
+
+ using LowDimTree = Dumux::BoundingBoxTree<LowDimGridView>;
+ using BulkTree = Dumux::BoundingBoxTree<BulkGridView>;
+
+ using GlobalPosition = Dune::FieldVector<Scalar, dimWorld>;
+
+public:
+ // export intersection container type
+ using Intersections = std::vector<Dumux::Glue::Intersection<TypeTag>>;
+
+ /*!
+ * \brief Constructor
+ */
+ CCMultiDimensionGlue(BulkProblem& bulkProblem, LowDimProblem& lowDimProblem)
+ : bulkProblem_(bulkProblem), lowDimProblem_(lowDimProblem)
+ {
+ // Check if we are using the cellcentered method in both domains
+ static_assert(!bulkIsBox && !lowDimIsBox, "Using the cell-centered glue for problems using box discretization!");
+ }
+
+ void build()
+ {
+ // Initialize the bulk and the lowdim bounding box tree
+ const auto& bulkTree = bulkProblem().boundingBoxTree();
+ const auto& lowDimTree = lowDimProblem().boundingBoxTree();
+
+ // compute raw intersections
+ Dune::Timer timer;
+ auto rawIntersections = bulkTree.computeEntityCollisions(lowDimTree);
+ std::cout << "Computed tree intersections in " << timer.elapsed() << std::endl;
+
+ // create a map to check whether intersection geometries were already inserted
+ std::vector<std::vector<std::vector<GlobalPosition>>> intersectionMap;
+ std::vector<std::vector<unsigned int>> intersectionIndex;
+ intersectionMap.resize(lowDimProblem().gridView().size(0));
+ intersectionIndex.resize(lowDimProblem().gridView().size(0));
+
+ for (const auto& rawIntersection : rawIntersections)
+ {
+ bool add = true;
+ for (int i = 0; i < intersectionMap[rawIntersection.second()].size(); ++i)
+ {
+ if (rawIntersection.cornersMatch(intersectionMap[rawIntersection.second()][i]))
+ {
+ add = false;
+ // only add the pair of neighbors using the insertionIndex
+ auto idx = intersectionIndex[rawIntersection.second()][i];
+ intersections_[idx].addNeighbors(rawIntersection.first(), rawIntersection.second());
+ break;
+ }
+ }
+ if(add)
+ {
+ // add to the map
+ intersectionMap[rawIntersection.second()].push_back(rawIntersection.corners());
+ intersectionIndex[rawIntersection.second()].push_back(intersections_.size());
+ // add new intersection and add the neighbors
+ intersections_.emplace_back(bulkTree, lowDimTree);
+ intersections_.back().setCorners(rawIntersection.corners());
+ intersections_.back().addNeighbors(rawIntersection.first(), rawIntersection.second());
+ }
+ }
+ }
+
+ //! Return a reference to the bulk problem
+ BulkProblem& bulkProblem()
+ {
+ return bulkProblem_;
+ }
+
+ //! Return a reference to the low dimensional problem
+ LowDimProblem& lowDimProblem()
+ {
+ return lowDimProblem_;
+ }
+
+ //! Return begin iterator to intersection container
+ typename Intersections::const_iterator ibegin() const
+ { return intersections_.begin(); }
+
+ //! Return end iterator to intersection container
+ typename Intersections::const_iterator iend() const
+ { return intersections_.end(); }
+
+private:
+ BulkProblem& bulkProblem_;
+ LowDimProblem& lowDimProblem_;
+
+ Intersections intersections_;
+};
+
+} // namespace Dumux
+
+#endif
diff --git a/dumux/mixeddimension/integrationpointsource.hh b/dumux/mixeddimension/integrationpointsource.hh
new file mode 100644
index 0000000000000000000000000000000000000000..33ae6fc55f583d0b65ed287c3cd9732292eefe78
--- /dev/null
+++ b/dumux/mixeddimension/integrationpointsource.hh
@@ -0,0 +1,185 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ * See the file COPYING for full copying permissions. *
+ * *
+ * This program is free software: you can redistribute it and/or modify *
+ * it under the terms of the GNU General Public License as published by *
+ * the Free Software Foundation, either version 2 of the License, or *
+ * (at your option) any later version. *
+ * *
+ * This program is distributed in the hope that it will be useful, *
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of *
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
+ * GNU General Public License for more details. *
+ * *
+ * You should have received a copy of the GNU General Public License *
+ * along with this program. If not, see <http://www.gnu.org/licenses/>. *
+ *****************************************************************************/
+/*!
+ * \file
+ * \ingroup EmbeddedCoupling
+ * \brief An integration point source class,
+ * i.e. sources located at a single point in space
+ * associated with a quadrature point
+ */
+
+#ifndef DUMUX_INTEGRATION_POINTSOURCE_HH
+#define DUMUX_INTEGRATION_POINTSOURCE_HH
+
+#include <dumux/common/pointsource.hh>
+
+namespace Dumux
+{
+
+/*!
+ * \ingroup EmbeddedCoupling
+ * \brief An integration point source class with an identifier to attach data
+ * and a quadrature weight and integration element
+ */
+template<class TypeTag, typename IdType>
+class IntegrationPointSource : public Dumux::IdPointSource<TypeTag, IdType>
+{
+ typedef typename Dumux::IdPointSource<TypeTag, IdType> ParentType;
+ typedef typename GET_PROP_TYPE(TypeTag, GridView) GridView;
+ typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+ typedef typename GET_PROP_TYPE(TypeTag, PrimaryVariables) PrimaryVariables;
+
+ static const int dimworld = GridView::dimensionworld;
+ typedef typename Dune::FieldVector<Scalar, dimworld> GlobalPosition;
+
+public:
+ //! Constructor for integration point sources
+ IntegrationPointSource(GlobalPosition pos, PrimaryVariables values, IdType id,
+ Scalar qpweight, Scalar integrationElement,
+ const std::vector<unsigned int>& elementIndices)
+ : ParentType(pos, values, id),
+ qpweight_(qpweight), integrationElement_(integrationElement),
+ elementIndices_(elementIndices) {}
+
+ //! Constructor for integration point sources, when there is no
+ // value known at the time of initialization
+ IntegrationPointSource(GlobalPosition pos, IdType id,
+ Scalar qpweight, Scalar integrationElement,
+ const std::vector<unsigned int>& elementIndices)
+ : ParentType(pos, id),
+ qpweight_(qpweight), integrationElement_(integrationElement),
+ elementIndices_(elementIndices) {}
+
+
+ Scalar quadratureWeight() const
+ {
+ return qpweight_;
+ }
+
+ Scalar integrationElement() const
+ {
+ return integrationElement_;
+ }
+
+ const std::vector<unsigned int>& elementIndices() const
+ {
+ return elementIndices_;
+ }
+
+ //! Convenience = operator overload modifying only the values
+ IntegrationPointSource& operator= (const PrimaryVariables& values)
+ {
+ ParentType::operator=(values);
+ return *this;
+ }
+
+ //! Convenience = operator overload modifying only the values
+ IntegrationPointSource& operator= (Scalar s)
+ {
+ ParentType::operator=(s);
+ return *this;
+ }
+
+private:
+ Scalar qpweight_;
+ Scalar integrationElement_;
+ std::vector<unsigned int> elementIndices_;
+};
+
+/*!
+ * \ingroup EmbeddedCoupling
+ * \brief A helper class calculating a DOF-index to point source map
+ */
+template<class TypeTag>
+class IntegrationPointSourceHelper
+{
+ typedef typename GET_PROP_TYPE(TypeTag, Problem) Problem;
+ typedef typename GET_PROP_TYPE(TypeTag, GridView) GridView;
+ typedef typename GET_PROP_TYPE(TypeTag, FVElementGeometry) FVElementGeometry;
+ typedef typename GET_PROP_TYPE(TypeTag, PointSource) PointSource;
+
+ static const int dim = GridView::dimension;
+ static const int dimworld = GridView::dimensionworld;
+
+ typedef Dumux::BoundingBoxTree<GridView> BoundingBoxTree;
+
+ enum { isBox = GET_PROP_VALUE(TypeTag, ImplicitIsBox) };
+ enum { dofCodim = isBox ? dim : 0 };
+
+public:
+ //! calculate a DOF index to point source map from given vector of point sources
+ static void computePointSourceMap(const Problem& problem,
+ const BoundingBoxTree& boundingBoxTree,
+ std::vector<PointSource>& sources,
+ std::map<std::pair<unsigned int, unsigned int>, std::vector<PointSource> >& pointSourceMap)
+ {
+ for (auto&& source : sources)
+ {
+ // compute in which elements the point source falls
+ std::vector<unsigned int> entities = source.elementIndices();
+ // split the source values equally among all concerned entities
+ source.setEmbeddings(source.embeddings()*entities.size());
+ // loop over all concernes elements
+ for (unsigned int eIdx : entities)
+ {
+ if(isBox)
+ {
+ // check in which subcontrolvolume(s) we are
+ const auto element = boundingBoxTree.entity(eIdx);
+ auto fvGeometry = localView(problem.model().globalFvGeometry());
+ fvGeometry.bindElement(element);
+ const auto globalPos = source.position();
+ // loop over all sub control volumes and check if the point source is inside
+ std::vector<unsigned int> scvIndices;
+ for (auto&& scv : scvs(fvGeometry))
+ {
+ if (BoundingBoxTreeHelper<dimworld>::pointInGeometry(scv.geometry(), globalPos))
+ scvIndices.push_back(scv.index());
+ }
+ // for all scvs that where tested positiv add the point sources
+ // to the element/scv to point source map
+ for (auto scvIdx : scvIndices)
+ {
+ const auto key = std::make_pair(eIdx, scvIdx);
+ if (pointSourceMap.count(key))
+ pointSourceMap.at(key).push_back(source);
+ else
+ pointSourceMap.insert({key, {source}});
+ // split equally on the number of matched scvs
+ auto& s = pointSourceMap.at(key).back();
+ s.setEmbeddings(scvIndices.size()*s.embeddings());
+ }
+ }
+ else
+ {
+ // add the pointsource to the DOF map
+ const auto key = std::make_pair(eIdx, /*scvIdx=*/ 0);
+ if (pointSourceMap.count(key))
+ pointSourceMap.at(key).push_back(source);
+ else
+ pointSourceMap.insert({key, {source}});
+ }
+ }
+ }
+ }
+};
+
+} // end namespace Dumux
+
+#endif
diff --git a/dumux/mixeddimension/linearsolveracceptsmultitypematrix.hh b/dumux/mixeddimension/linearsolveracceptsmultitypematrix.hh
new file mode 100644
index 0000000000000000000000000000000000000000..1a9fb40f3086f6f5ce22357bff633e20ebf66c47
--- /dev/null
+++ b/dumux/mixeddimension/linearsolveracceptsmultitypematrix.hh
@@ -0,0 +1,80 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ * See the file COPYING for full copying permissions. *
+ * *
+ * This program is free software: you can redistribute it and/or modify *
+ * it under the terms of the GNU General Public License as published by *
+ * the Free Software Foundation, either version 2 of the License, or *
+ * (at your option) any later version. *
+ * *
+ * This program is distributed in the hope that it will be useful, *
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of *
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
+ * GNU General Public License for more details. *
+ * *
+ * You should have received a copy of the GNU General Public License *
+ * along with this program. If not, see <http://www.gnu.org/licenses/>. *
+ *****************************************************************************/
+/*!
+ * \file
+ * \brief Dumux mixeddimension iterative solver backend
+ */
+#ifndef DUMUX_LINEAR_SOLVER_ACCEPTS_MULTITYPEMATRIX_HH
+#define DUMUX_LINEAR_SOLVER_ACCEPTS_MULTITYPEMATRIX_HH
+
+#include <dumux/linear/seqsolverbackend.hh>
+
+namespace Dumux {
+
+//! The default
+template<typename TypeTag, typename LinearSolver>
+struct LinearSolverAcceptsMultiTypeMatrixImpl
+{ static constexpr bool value = true; };
+
+//! Convenience typedef
+template <typename TypeTag>
+using LinearSolverAcceptsMultiTypeMatrix = LinearSolverAcceptsMultiTypeMatrixImpl<TypeTag, typename GET_PROP_TYPE(TypeTag, LinearSolver)>;
+
+//! Solvers that don't accept multi-type matrices
+//! Those are all with ILU preconditioner that doesn't support the additional block level
+//! And the direct solvers that have BCRS Matrix hardcoded
+template<typename TypeTag>
+struct LinearSolverAcceptsMultiTypeMatrixImpl<TypeTag, ILUnBiCGSTABBackend<TypeTag>>
+{ static constexpr bool value = false; };
+
+template<typename TypeTag>
+struct LinearSolverAcceptsMultiTypeMatrixImpl<TypeTag, ILUnCGBackend<TypeTag>>
+{ static constexpr bool value = false; };
+
+template<typename TypeTag>
+struct LinearSolverAcceptsMultiTypeMatrixImpl<TypeTag, ILU0BiCGSTABBackend<TypeTag>>
+{ static constexpr bool value = false; };
+
+template<typename TypeTag>
+struct LinearSolverAcceptsMultiTypeMatrixImpl<TypeTag, ILU0CGBackend<TypeTag>>
+{ static constexpr bool value = false; };
+
+template<typename TypeTag>
+struct LinearSolverAcceptsMultiTypeMatrixImpl<TypeTag, ILU0RestartedGMResBackend<TypeTag>>
+{ static constexpr bool value = false; };
+
+template<typename TypeTag>
+struct LinearSolverAcceptsMultiTypeMatrixImpl<TypeTag, ILUnRestartedGMResBackend<TypeTag>>
+{ static constexpr bool value = false; };
+
+#if HAVE_SUPERLU
+template<typename TypeTag>
+struct LinearSolverAcceptsMultiTypeMatrixImpl<TypeTag, SuperLUBackend<TypeTag>>
+{ static constexpr bool value = false; };
+#endif // HAVE_SUPERLU
+
+#if HAVE_UMFPACK
+template<typename TypeTag>
+struct LinearSolverAcceptsMultiTypeMatrixImpl<TypeTag, UMFPackBackend<TypeTag>>
+{ static constexpr bool value = false; };
+#endif // HAVE_UMFPACK
+
+} // end namespace Dumux
+
+#endif
\ No newline at end of file
diff --git a/dumux/mixeddimension/lowdimlocaljacobian.hh b/dumux/mixeddimension/lowdimlocaljacobian.hh
new file mode 100644
index 0000000000000000000000000000000000000000..5d35086592a2b7788c05c07bb096bd9e0d66a645
--- /dev/null
+++ b/dumux/mixeddimension/lowdimlocaljacobian.hh
@@ -0,0 +1,319 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ * See the file COPYING for full copying permissions. *
+ * *
+ * This program is free software: you can redistribute it and/or modify *
+ * it under the terms of the GNU General Public License as published by *
+ * the Free Software Foundation, either version 2 of the License, or *
+ * (at your option) any later version. *
+ * *
+ * This program is distributed in the hope that it will be useful, *
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of *
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
+ * GNU General Public License for more details. *
+ * *
+ * You should have received a copy of the GNU General Public License *
+ * along with this program. If not, see <http://www.gnu.org/licenses/>. *
+ *****************************************************************************/
+/*!
+ * \file
+ * \ingroup MixedDimension
+ * \brief Caculates the Jacobian of the local residual for fully-implicit models
+ */
+#ifndef DUMUX_LOWDIM_LOCAL_JACOBIAN_HH
+#define DUMUX_LOWDIM_LOCAL_JACOBIAN_HH
+
+#include <dune/common/indices.hh>
+#include <dune/istl/matrix.hh>
+
+#include <dumux/common/math.hh>
+#include <dumux/common/valgrind.hh>
+
+#include <dumux/mixeddimension/properties.hh>
+
+namespace Dumux
+{
+/*!
+ * \ingroup MixedDimension
+ * \brief Calculates the Jacobian of the local residual for the low dim domain
+ *
+ * The default behavior is to use numeric differentiation, i.e.
+ * forward or backward differences (2nd order), or central
+ * differences (3rd order). The method used is determined by the
+ * "NumericDifferenceMethod" property:
+ *
+ * - if the value of this property is smaller than 0, backward
+ * differences are used, i.e.:
+ * \f[
+ \frac{\partial f(x)}{\partial x} \approx \frac{f(x) - f(x - \epsilon)}{\epsilon}
+ * \f]
+ *
+ * - if the value of this property is 0, central
+ * differences are used, i.e.:
+ * \f[
+ \frac{\partial f(x)}{\partial x} \approx \frac{f(x + \epsilon) - f(x - \epsilon)}{2 \epsilon}
+ * \f]
+ *
+ * - if the value of this property is larger than 0, forward
+ * differences are used, i.e.:
+ * \f[
+ \frac{\partial f(x)}{\partial x} \approx \frac{f(x + \epsilon) - f(x)}{\epsilon}
+ * \f]
+ *
+ * Here, \f$ f \f$ is the residual function for all equations, \f$x\f$
+ * is the value of a sub-control volume's primary variable at the
+ * evaluation point and \f$\epsilon\f$ is a small value larger than 0.
+ */
+template<class TypeTag>
+class LowDimLocalJacobian : public GET_PROP_TYPE(TypeTag, LowDimLocalJacobianBase)
+{
+ using ParentType = typename GET_PROP_TYPE(TypeTag, LowDimLocalJacobianBase);
+ using Implementation = typename GET_PROP_TYPE(TypeTag, LowDimLocalJacobian);
+ using Scalar = typename GET_PROP_TYPE(TypeTag, Scalar);
+ using GlobalProblem = typename GET_PROP_TYPE(TypeTag, Problem);
+ using SubProblemBlockIndices = typename GET_PROP(TypeTag, SubProblemBlockIndices);
+
+ // obtain the type tag of the lowdim sub problem
+ using LowDimProblemTypeTag = typename GET_PROP_TYPE(TypeTag, LowDimProblemTypeTag);
+
+ // types of the lowdim sub problem
+ using Problem = typename GET_PROP_TYPE(LowDimProblemTypeTag, Problem);
+ using FVElementGeometry = typename GET_PROP_TYPE(LowDimProblemTypeTag, FVElementGeometry);
+ using ElementSolutionVector = typename GET_PROP_TYPE(LowDimProblemTypeTag, ElementSolutionVector);
+ using PrimaryVariables = typename GET_PROP_TYPE(LowDimProblemTypeTag, PrimaryVariables);
+ using VolumeVariables = typename GET_PROP_TYPE(LowDimProblemTypeTag, VolumeVariables);
+ using ElementVolumeVariables = typename GET_PROP_TYPE(LowDimProblemTypeTag, ElementVolumeVariables);
+ using ElementFluxVariablesCache = typename GET_PROP_TYPE(LowDimProblemTypeTag, ElementFluxVariablesCache);
+ using ElementBoundaryTypes = typename GET_PROP_TYPE(LowDimProblemTypeTag, ElementBoundaryTypes);
+ using LocalResidual = typename GET_PROP_TYPE(LowDimProblemTypeTag, LocalResidual);
+ using GridView = typename GET_PROP_TYPE(LowDimProblemTypeTag, GridView);
+ using IndexType = typename GridView::IndexSet::IndexType:
+ using Element = typename GridView::template Codim<0>::Entity;
+
+ enum { dim = GridView::dimension };
+ enum { isBox = GET_PROP_VALUE(LowDimProblemTypeTag, ImplicitIsBox) };
+
+ // matrix and solution types
+ using SolutionVector = typename GET_PROP_TYPE(LowDimProblemTypeTag, SolutionVector);
+ using JacobianMatrix = typename GET_PROP_TYPE(TypeTag, JacobianMatrix)::MatrixBlockLowDim;
+ using JacobianMatrixCoupling = typename GET_PROP_TYPE(TypeTag, JacobianMatrix)::MatrixBlockLowDimCoupling;
+
+public:
+
+ // copying a local jacobian is not a good idea
+ LowDimLocalJacobian(const LowDimLocalJacobian &) = delete;
+
+ LowDimLocalJacobian()
+ { numericDifferenceMethod_ = GET_PARAM_FROM_GROUP(TypeTag, int, Implicit, NumericDifferenceMethod); }
+
+ /*!
+ * \brief Initialize the local Jacobian object.
+ *
+ * At this point we can assume that everything has been allocated,
+ * although some objects may not yet be completely initialized.
+ *
+ * \param problem The problem which we want to simulate.
+ */
+ void init(GlobalProblem &globalProblem)
+ {
+ globalProblemPtr_ = &globalProblem;
+ ParentType::init(globalProblem.lowDimProblem());
+ }
+
+ /*!
+ * \brief Assemble an element's local Jacobian matrix of the
+ * defect.
+ *
+ * \param element The DUNE Codim<0> entity which we look at.
+ */
+ void assemble(const Element &element,
+ JacobianMatrix& matrix,
+ JacobianMatrixCoupling& couplingMatrix,
+ SolutionVector& residual)
+ {
+ const bool isGhost = (element.partitionType() == Dune::GhostEntity);
+
+ // prepare the volvars/fvGeometries in case caching is disabled
+ auto fvGeometry = localView(this->model_().globalFvGeometry());
+ fvGeometry.bind(element);
+
+ auto curElemVolVars = localView(this->model_().curGlobalVolVars());
+ curElemVolVars.bind(element, fvGeometry, this->model_().curSol());
+
+ auto prevElemVolVars = localView(this->model_().prevGlobalVolVars());
+ prevElemVolVars.bindElement(element, fvGeometry, this->model_().prevSol());
+
+ auto elemFluxVarsCache = localView(this->model_().globalFluxVarsCache());
+ elemFluxVarsCache.bind(element, fvGeometry, curElemVolVars);
+
+ // set the actual dof index
+ globalI_ = this->problem_().elementMapper().index(element);
+
+ // check for boundaries on the element
+ ElementBoundaryTypes elemBcTypes;
+ elemBcTypes.update(this->problem_(), element, fvGeometry);
+
+ // The actual solution in the element
+ auto curElemSol = this->model_().elementSolution(element, this->model_().curSol());
+
+ // Evaluate the undeflected element local residual
+ this->localResidual().eval(element,
+ fvGeometry,
+ prevElemVolVars,
+ curElemVolVars,
+ elemBcTypes,
+ elemFluxVarsCache);
+ this->residual_ = this->localResidual().residual();
+
+ // calculate derivatives of all dofs in stencil with respect to the dofs in the element
+ this->evalPartialDerivatives_(element,
+ fvGeometry,
+ prevElemVolVars,
+ curElemVolVars,
+ curElemSol,
+ elemFluxVarsCache,
+ elemBcTypes,
+ matrix,
+ residual,
+ isGhost);
+
+ // compute derivatives with respect to additional user defined DOF dependencies
+ const auto& additionalDofDepedencies = this->problem_().getAdditionalDofDependencies(globalI_);
+ if (!additionalDofDepedencies.empty() && !isGhost)
+ {
+ this->evalAdditionalDerivatives_(additionalDofDepedencies,
+ element,
+ fvGeometry,
+ curElemVolVars,
+ matrix,
+ residual);
+ }
+
+ evalPartialDerivativeCoupling_(element,
+ fvGeometry,
+ curElemVolVars,
+ elemFluxVarsCache,
+ elemBcTypes,
+ couplingMatrix,
+ residual)
+ }
+
+protected:
+
+ /*!
+ * \brief Returns a reference to the problem.
+ */
+ const GlobalProblem &globalProblem_() const
+ { return *globalProblemPtr_; }
+
+ GlobalProblem &globalProblem_()
+ { return *globalProblemPtr_; }
+
+ void evalPartialDerivativeCoupling_(const Element& element,
+ const FVElementGeometry& fvGeometry,
+ ElementVolumeVariables& curElemVolVars,
+ ElementFluxVariablesCache& elemFluxVarsCache,
+ const ElementBoundaryTypes& elemBcTypes,
+ JacobianMatrixCoupling& couplingMatrix,
+ SolutionVector& residual)
+ {
+ const auto& couplingStencil = globalProblem_().couplingManager().couplingStencil(element);
+ const auto numDofsCoupling = couplingStencil.size();
+
+ for (auto globalJ : couplingStencil)
+ {
+ const auto lowDimElement = globalProblem_().lowDimProblem().model().globalFvGeometry().element(globalJ);
+ const auto& lowDimSolution = globalProblem_().lowDimProblem().model().curSol();
+ auto curElemSolLowDim = globalProblem_().lowDimProblem().model().elementSolution(lowDimElement, lowDimSolution);
+ const auto lowDimResidual = globalProblem_().couplingManager().evalCouplingResidual(element,
+ fvGeometry,
+ curElemVolVars,
+ elemBcTypes,
+ elemFluxVarsCache,
+ lowDimElement,
+ curElemSolLowDim);
+ // derivatives in the neighbors with repect to the current elements
+ PrimaryVariables partialDeriv;
+ for (int pvIdx = 0; pvIdx < numEq; pvIdx++)
+ {
+ const Scalar eps = numericEpsilon(curElemSolLowDim[0][pvIdx]);
+ Scalar delta = 0;
+
+ if (numericDifferenceMethod_ >= 0)
+ {
+ // we are not using backward differences, i.e. we need to
+ // calculate f(x + \epsilon)
+
+ // deflect primary variables
+ curElemSolLowDim[0][pvIdx] += eps;
+ delta += eps;
+
+ // calculate the residual with the deflected primary variables
+ partialDeriv = globalProblem_().couplingManager().evalCouplingResidual(element,
+ fvGeometry,
+ curElemVolVars,
+ elemBcTypes,
+ elemFluxVarsCache,
+ lowDimElement,
+ curElemSolLowDim);
+ }
+ else
+ {
+ // we are using backward differences, i.e. we don't need
+ // to calculate f(x + \epsilon) and we can recycle the
+ // (already calculated) residual f(x)
+ partialDeriv = lowDimResidual;
+ }
+
+
+ if (numericDifferenceMethod_ <= 0)
+ {
+ // we are not using forward differences, i.e. we
+ // need to calculate f(x - \epsilon)
+
+ // deflect the primary variables
+ curElemSolLowDim[0][pvIdx] -= 2*eps;
+ delta += eps;
+
+ // calculate the residual with the deflected primary variables
+ partialDeriv -= globalProblem_().couplingManager().evalCouplingResidual(element,
+ fvGeometry,
+ curElemVolVars,
+ elemBcTypes,
+ elemFluxVarsCache,
+ lowDimElement,
+ curElemSolLowDim);
+ }
+ else
+ {
+ // we are using forward differences, i.e. we don't need to
+ // calculate f(x - \epsilon) and we can recycle the
+ // (already calculated) residual f(x)
+ partialDeriv -= lowDimResidual;
+ }
+
+ // divide difference in residuals by the magnitude of the
+ // deflections between the two function evaluation
+ partialDeriv /= delta;
+
+ // restore the original state of the element solution vector
+ curElemSolLowDim[0][pvIdx] = lowDimSolution[globalJ][pvIdx];
+
+ // update the global jacobian matrix (coupling block)
+ this->updateGlobalJacobian_(couplingMatrix, globalI_, globalJ, pvIdx, partialDeriv);
+ }
+ }
+ }
+
+ // The global index of the current element
+ IndexType globalI_;
+ // The problem we would like to solve
+ GlobalProblem *globalProblemPtr_;
+ // The type of the numeric difference method (forward, center, backward)
+ int numericDifferenceMethod_;
+};
+
+} // end namespace Dumux
+
+#endif
diff --git a/dumux/mixeddimension/model.hh b/dumux/mixeddimension/model.hh
new file mode 100644
index 0000000000000000000000000000000000000000..a5e41326c2947cd1a4c085e758d605758d95b007
--- /dev/null
+++ b/dumux/mixeddimension/model.hh
@@ -0,0 +1,551 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ * See the file COPYING for full copying permissions. *
+ * *
+ * This program is free software: you can redistribute it and/or modify *
+ * it under the terms of the GNU General Public License as published by *
+ * the Free Software Foundation, either version 2 of the License, or *
+ * (at your option) any later version. *
+ * *
+ * This program is distributed in the hope that it will be useful, *
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of *
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
+ * GNU General Public License for more details. *
+ * *
+ * You should have received a copy of the GNU General Public License *
+ * along with this program. If not, see <http://www.gnu.org/licenses/>. *
+ *****************************************************************************/
+/*!
+ * \file
+ * \ingroup MixedDimension
+ * \brief Base class for the coupled models of mixed dimension
+ */
+#ifndef DUMUX_MIXEDDIMENSION_MODEL_HH
+#define DUMUX_MIXEDDIMENSION_MODEL_HH
+
+#include <dune/geometry/type.hh>
+#include <dune/istl/bvector.hh>
+
+#include <dumux/mixeddimension/properties.hh>
+#include <dumux/mixeddimension/assembler.hh>
+#include <dumux/mixeddimension/subproblemlocaljacobian.hh>
+#include <dumux/mixeddimension/newtoncontroller.hh>
+#include <dumux/implicit/adaptive/gridadaptproperties.hh>
+#include <dumux/common/valgrind.hh>
+
+namespace Dumux
+{
+
+/*!
+ * \ingroup MixedDimension
+ * \brief The base class for implicit models of mixed dimension.
+ */
+template<class TypeTag>
+class MixedDimensionModel
+{
+ typedef typename GET_PROP_TYPE(TypeTag, Model) Implementation;
+ typedef typename GET_PROP_TYPE(TypeTag, Problem) Problem;
+ typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+ typedef typename GET_PROP_TYPE(TypeTag, SolutionVector) SolutionVector;
+ typedef typename GET_PROP_TYPE(TypeTag, JacobianAssembler) JacobianAssembler;
+ typedef typename GET_PROP_TYPE(TypeTag, BulkLocalJacobian) BulkLocalJacobian;
+ typedef typename GET_PROP_TYPE(TypeTag, LowDimLocalJacobian) LowDimLocalJacobian;
+ typedef typename GET_PROP_TYPE(TypeTag, NewtonMethod) NewtonMethod;
+ typedef typename GET_PROP_TYPE(TypeTag, NewtonController) NewtonController;
+ typedef typename GET_PROP(TypeTag, SubProblemBlockIndices) SubProblemBlockIndices;
+
+ // obtain the type tags of the sub problems
+ typedef typename GET_PROP_TYPE(TypeTag, BulkProblemTypeTag) BulkProblemTypeTag;
+ typedef typename GET_PROP_TYPE(TypeTag, LowDimProblemTypeTag) LowDimProblemTypeTag;
+
+ typedef typename GET_PROP_TYPE(BulkProblemTypeTag, GridView) BulkGridView;
+ typedef typename GET_PROP_TYPE(LowDimProblemTypeTag, GridView) LowDimGridView;
+
+ typedef typename GET_PROP_TYPE(BulkProblemTypeTag, LocalResidual) BulkLocalResidual;
+ typedef typename GET_PROP_TYPE(LowDimProblemTypeTag, LocalResidual) LowDimLocalResidual;
+
+ typedef typename GET_PROP_TYPE(BulkProblemTypeTag, VertexMapper) BulkVertexMapper;
+ typedef typename GET_PROP_TYPE(LowDimProblemTypeTag, VertexMapper) LowDimVertexMapper;
+
+ typedef typename GET_PROP_TYPE(BulkProblemTypeTag, ElementMapper) BulkElementMapper;
+ typedef typename GET_PROP_TYPE(LowDimProblemTypeTag, ElementMapper) LowDimElementMapper;
+
+ enum {
+ bulkDim = BulkGridView::dimension,
+ lowDimDim = LowDimGridView::dimension,
+ dimWorld = BulkGridView::dimensionworld
+ };
+
+ enum {
+ bulkIsBox = GET_PROP_VALUE(BulkProblemTypeTag, ImplicitIsBox),
+ lowDimIsBox = GET_PROP_VALUE(LowDimProblemTypeTag, ImplicitIsBox),
+ bulkDofCodim = bulkIsBox ? bulkDim : 0,
+ lowDimDofCodim = lowDimIsBox ? lowDimDim : 0
+ };
+
+ typename SubProblemBlockIndices::BulkIdx bulkIdx;
+ typename SubProblemBlockIndices::LowDimIdx lowDimIdx;
+
+ typedef typename BulkGridView::template Codim<0>::Entity BulkElement;
+ typedef typename LowDimGridView::template Codim<0>::Entity LowDimElement;
+
+ typedef typename Dune::ReferenceElements<Scalar, bulkDim> BulkReferenceElements;
+ typedef typename Dune::ReferenceElements<Scalar, lowDimDim> LowDimReferenceElements;
+
+public:
+ // copying a model is not a good idea
+ MixedDimensionModel(const MixedDimensionModel&) = delete;
+
+ /*!
+ * \brief The constructor.
+ */
+ MixedDimensionModel()
+ : problemPtr_(nullptr) {}
+
+ /*!
+ * \brief Apply the initial conditions to the model.
+ *
+ * \param problem The object representing the problem which needs to
+ * be simulated.
+ */
+ void init(Problem &problem)
+ {
+ problemPtr_ = &problem;
+
+ // resize the current and previous solution
+ const unsigned int bulkNumDofs = asImp_().bulkNumDofs();
+ const unsigned int lowDimNumDofs = asImp_().lowDimNumDofs();
+ uCur_[bulkIdx].resize(bulkNumDofs);
+ uCur_[lowDimIdx].resize(lowDimNumDofs);
+ uPrev_[bulkIdx].resize(bulkNumDofs);
+ uPrev_[lowDimIdx].resize(lowDimNumDofs);
+
+ // initialize local jocabian and jacobian assembler
+ bulkLocalJacobian_.init(problem_());
+ lowDimLocalJacobian_.init(problem_());
+ jacAsm_ = std::make_shared<JacobianAssembler>();
+ jacAsm_->init(problem_());
+
+ // set the model to the state of the initial solution
+ // defined by the problem
+ asImp_().copySubProblemSolutions_();
+
+ // also set the solution of the "previous" time step to the
+ // initial solution.
+ uPrev_ = uCur_;
+ }
+
+ /*!
+ * \brief Compute the global residual for an arbitrary solution
+ * vector.
+ *
+ * \param residual Stores the result
+ * \param u The solution for which the residual ought to be calculated
+ */
+ Scalar globalResidual(SolutionVector &residual,
+ const SolutionVector &u)
+ {
+ SolutionVector tmp(curSol());
+ curSol() = u;
+ Scalar res = globalResidual(residual);
+ curSol() = tmp;
+ return res;
+ }
+
+ /*!
+ * \brief Compute the global residual for the current solution
+ * vector.
+ *
+ * \param residual Stores the result
+ */
+ Scalar globalResidual(SolutionVector &residual)
+ {
+ residual = 0;
+
+ for (const auto& element : elements(bulkGridView_()))
+ {
+ bulkLocalResidual().eval(element);
+
+ if (bulkIsBox)
+ {
+ for (int i = 0; i < element.subEntities(bulkDim); ++i)
+ {
+ const unsigned int dofIdxGlobal = problem_().bulkProblem().model().dofMapper().subIndex(element, i, bulkDim);
+ residual[bulkIdx][dofIdxGlobal] += bulkLocalResidual().residual(i);
+ }
+ }
+ else
+ {
+ const unsigned int dofIdxGlobal = problem_().bulkProblem().model().dofMapper().index(element);
+ residual[bulkIdx][dofIdxGlobal] = bulkLocalResidual().residual(0);
+ }
+ }
+
+ for (const auto& element : elements(lowDimGridView_()))
+ {
+ lowDimLocalResidual().eval(element);
+
+ if (lowDimIsBox)
+ {
+ for (int i = 0; i < element.subEntities(lowDimDim); ++i)
+ {
+ const unsigned int dofIdxGlobal = problem_().lowDimProblem().model().dofMapper().subIndex(element, i, lowDimDim);
+ residual[lowDimIdx][dofIdxGlobal] += lowDimLocalResidual().residual(i);
+ }
+ }
+ else
+ {
+ const unsigned int dofIdxGlobal = problem_().lowDimProblem().model().dofMapper().index(element);
+ residual[lowDimIdx][dofIdxGlobal] = lowDimLocalResidual().residual(0);
+ }
+ }
+
+ // calculate the square norm of the residual
+ return residual.two_norm();
+ }
+
+ void adaptVariableSize()
+ {
+ uCur_[bulkIdx].resize(asImp_().bulkNumDofs());
+ uCur_[lowDimIdx].resize(asImp_().lowDimNumDofs());
+ }
+
+ /*!
+ * \brief Reference to the current solution as a block vector.
+ */
+ const SolutionVector &curSol() const
+ { return uCur_; }
+
+ /*!
+ * \brief Reference to the current solution as a block vector.
+ */
+ SolutionVector &curSol()
+ { return uCur_; }
+
+ /*!
+ * \brief Reference to the previous solution as a block vector.
+ */
+ const SolutionVector &prevSol() const
+ { return uPrev_; }
+
+ /*!
+ * \brief Reference to the previous solution as a block vector.
+ */
+ SolutionVector &prevSol()
+ { return uPrev_; }
+
+ /*!
+ * \brief Returns the operator assembler for the global jacobian of
+ * the problem.
+ */
+ JacobianAssembler &jacobianAssembler()
+ { return *jacAsm_; }
+
+ /*!
+ * \copydoc jacobianAssembler()
+ */
+ const JacobianAssembler &jacobianAssembler() const
+ { return *jacAsm_; }
+
+ /*!
+ * \brief Returns the local jacobian which calculates the local
+ * stiffness matrix for an arbitrary bulk element.
+ *
+ * The local stiffness matrices of the element are used by
+ * the jacobian assembler to produce a global linerization of the
+ * problem.
+ */
+ BulkLocalJacobian &bulkLocalJacobian()
+ { return bulkLocalJacobian_; }
+ /*!
+ * \copydoc bulkLocalJacobian()
+ */
+ const BulkLocalJacobian &bulkLocalJacobian() const
+ { return bulkLocalJacobian_; }
+
+ /*!
+ * \brief Returns the local jacobian which calculates the local
+ * stiffness matrix for an arbitrary low dimensional element.
+ *
+ * The local stiffness matrices of the element are used by
+ * the jacobian assembler to produce a global linerization of the
+ * problem.
+ */
+ LowDimLocalJacobian &lowDimLocalJacobian()
+ { return lowDimLocalJacobian_; }
+ /*!
+ * \copydoc lowDimLocalJacobian()
+ */
+ const LowDimLocalJacobian &lowDimLocalJacobian() const
+ { return lowDimLocalJacobian_; }
+
+ /*!
+ * \brief Returns the bulk local residual function.
+ */
+ BulkLocalResidual& bulkLocalResidual()
+ { return bulkLocalJacobian().localResidual(); }
+ /*!
+ * \copydoc bulkLocalResidual()
+ */
+ const BulkLocalResidual& bulkLocalResidual() const
+ { return bulkLocalJacobian().localResidual(); }
+
+ /*!
+ * \brief Returns the low dim local residual function.
+ */
+ LowDimLocalResidual& lowDimLocalResidual()
+ { return lowDimLocalJacobian().localResidual(); }
+ /*!
+ * \copydoc lowDimLocalResidual()
+ */
+ const LowDimLocalResidual& lowDimLocalResidual() const
+ { return lowDimLocalJacobian().localResidual(); }
+
+ /*!
+ * \brief Returns the maximum relative shift between two vectors of
+ * primary variables.
+ *
+ * \param priVars1 The first vector of primary variables
+ * \param priVars2 The second vector of primary variables
+ */
+ template <class PrimaryVariableVector>
+ Scalar relativeShiftAtDof(const PrimaryVariableVector &priVars1,
+ const PrimaryVariableVector &priVars2)
+ {
+ Scalar result = 0.0;
+ for (int j = 0; j < priVars1.size(); ++j)
+ {
+ Scalar eqErr = std::abs(priVars1[j] - priVars2[j]);
+ eqErr /= std::max<Scalar>(1.0, std::abs(priVars1[j] + priVars2[j])/2);
+
+ result = std::max(result, eqErr);
+ }
+ return result;
+ }
+
+ /*!
+ * \brief Try to progress the model to the next timestep.
+ *
+ * \param solver The non-linear solver
+ * \param controller The controller which specifies the behaviour
+ * of the non-linear solver
+ */
+ bool update(NewtonMethod &solver,
+ NewtonController &controller)
+ {
+ asImp_().updateBegin();
+ bool converged = solver.execute(controller);
+
+ if (converged)
+ asImp_().updateSuccessful();
+ else
+ asImp_().updateFailed();
+
+ return converged;
+ }
+
+ /*!
+ * \brief Check the plausibility of the current solution
+ *
+ * This has to be done by the actual model, it knows
+ * best, what (ranges of) variables to check.
+ * This is primarily a hook
+ * which the actual model can overload.
+ */
+ void checkPlausibility() const
+ { }
+
+ /*!
+ * \brief Called by the update() method before it tries to
+ * apply the newton method. This is primarily a hook
+ * which the actual model can overload.
+ */
+ void updateBegin()
+ {
+ if((GET_PROP_VALUE(BulkProblemTypeTag, AdaptiveGrid) && problem_().bulkProblem().gridAdapt().wasAdapted()) ||
+ (GET_PROP_VALUE(LowDimProblemTypeTag, AdaptiveGrid) && problem_().lowDimProblem().gridAdapt().wasAdapted()))
+ {
+ uPrev_ = uCur_;
+ jacAsm_->init(problem_());
+
+ if (GET_PROP_VALUE(BulkProblemTypeTag, AdaptiveGrid) && problem_().bulkProblem().gridAdapt().wasAdapted())
+ problem_().bulkProblem().model().updateBegin();
+
+ if (GET_PROP_VALUE(LowDimProblemTypeTag, AdaptiveGrid) && problem_().lowDimProblem().gridAdapt().wasAdapted())
+ problem_().lowDimProblem().model().updateBegin();
+ }
+ }
+
+
+ /*!
+ * \brief Called by the update() method if it was
+ * successful. This is primarily a hook which the actual
+ * model can overload.
+ */
+ void updateSuccessful()
+ {}
+
+ void newtonEndStep()
+ {
+ problem_().bulkProblem().model().newtonEndStep();
+ problem_().lowDimProblem().model().newtonEndStep();
+ }
+
+ /*!
+ * \brief Called by the update() method if it was
+ * unsuccessful. This is primarily a hook which the actual
+ * model can overload.
+ */
+ void updateFailed()
+ {
+ // Reset the current solution to the one of the
+ // previous time step so that we can start the next
+ // update at a physically meaningful solution.
+ uCur_ = uPrev_;
+
+ // call the respective methods in the sub problems
+ problem_().lowDimProblem().model().updateFailed();
+ problem_().bulkProblem().model().updateFailed();
+ }
+
+ /*!
+ * \brief Called by the problem if a time integration was
+ * successful, post processing of the solution is done and
+ * the result has been written to disk.
+ *
+ * This should prepare the model for the next time integration.
+ */
+ void advanceTimeLevel()
+ {
+ // make the current solution the previous one.
+ uPrev_ = uCur_;
+
+ // call the respective methods in the sub problems
+ problem_().lowDimProblem().model().advanceTimeLevel();
+ problem_().bulkProblem().model().advanceTimeLevel();
+ }
+
+ /*!
+ * \brief Returns the number of global degrees of freedoms (DOFs) of the bulk problem
+ */
+ std::size_t bulkNumDofs() const
+ { return problem_().bulkProblem().model().numDofs(); }
+
+ /*!
+ * \brief Returns the number of global degrees of freedoms (DOFs) of the low dim problem
+ */
+ std::size_t lowDimNumDofs() const
+ { return problem_().lowDimProblem().model().numDofs(); }
+
+ /*!
+ * \brief Returns the number of global degrees of freedoms (DOFs)
+ */
+ std::size_t numDofs() const
+ { return asImp_().bulkNumDofs() + asImp_().lowDimNumDofs(); }
+
+ /*!
+ * \brief Mapper for the entities of the subproblems
+ */
+ const BulkVertexMapper& bulkVertexMapper() const
+ {
+ return problem_().bulkProblem().vertexMapper();
+ }
+
+ const BulkElementMapper& bulkElementMapper() const
+ {
+ return problem_().bulkProblem().elementMapper();
+ }
+
+ const LowDimVertexMapper& lowDimVertexMapper() const
+ {
+ return problem_().lowDimProblem().vertexMapper();
+ }
+
+ const LowDimElementMapper& lowDimElementMapper() const
+ {
+ return problem_().lowDimProblem().elementMapper();
+ }
+
+ /*!
+ * \brief Resets the Jacobian matrix assembler, so that the
+ * boundary types can be altered.
+ */
+ void resetJacobianAssembler ()
+ {
+ jacAsm_.template reset<JacobianAssembler>(0);
+ jacAsm_ = std::make_shared<JacobianAssembler>();
+ jacAsm_->init(problem_());
+ }
+
+ /*!
+ * \brief Copies the global solution vector to the sub problems
+ */
+ void copySolutionToSubProblems()
+ {
+ problem_().bulkProblem().model().curSol() = uCur_[bulkIdx];
+ problem_().lowDimProblem().model().curSol() = uCur_[lowDimIdx];
+ }
+
+protected:
+ /*!
+ * \brief A reference to the problem on which the model is applied.
+ */
+ Problem &problem_()
+ { return *problemPtr_; }
+ /*!
+ * \copydoc problem_()
+ */
+ const Problem &problem_() const
+ { return *problemPtr_; }
+
+ /*!
+ * \brief Reference to the grid view of the spatial domain.
+ */
+ const BulkGridView &bulkGridView_() const
+ { return problem_().bulkProblem().gridView(); }
+
+ /*!
+ * \brief Reference to the grid view of the spatial domain.
+ */
+ const LowDimGridView &lowDimGridView_() const
+ { return problem_().lowDimProblem().gridView(); }
+
+ /*!
+ * \brief Copies the solution vectors of the sub problems
+ */
+ void copySubProblemSolutions_()
+ {
+ uCur_[bulkIdx] = problem_().bulkProblem().model().curSol();
+ uCur_[lowDimIdx] = problem_().lowDimProblem().model().curSol();
+ }
+
+ // the problem we want to solve. defines the constitutive
+ // relations, matxerial laws, etc.
+ Problem *problemPtr_;
+
+ // calculates the local jacobian matrix for a given bulk/lowdim element
+ BulkLocalJacobian bulkLocalJacobian_;
+ LowDimLocalJacobian lowDimLocalJacobian_;
+
+ // Linearizes the problem at the current time step using the
+ // local jacobian
+ std::shared_ptr<JacobianAssembler> jacAsm_;
+
+ // cur is the current iterative solution, prev the converged
+ // solution of the previous time step
+ SolutionVector uCur_;
+ SolutionVector uPrev_;
+
+private:
+
+ Implementation &asImp_()
+ { return *static_cast<Implementation*>(this); }
+ const Implementation &asImp_() const
+ { return *static_cast<const Implementation*>(this); }
+
+};
+
+} // end namespace Dumux
+
+#endif
diff --git a/dumux/mixeddimension/newtoncontroller.hh b/dumux/mixeddimension/newtoncontroller.hh
new file mode 100644
index 0000000000000000000000000000000000000000..213049ad7564de9c2e271ca0b6bd374d2bd7c0be
--- /dev/null
+++ b/dumux/mixeddimension/newtoncontroller.hh
@@ -0,0 +1,766 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/****************************************************************************
+ * See the file COPYING for full copying permissions. *
+ * *
+ * This program is free software: you can redistribute it and/or modify *
+ * it under the terms of the GNU General Public License as published by *
+ * the Free Software Foundation, either version 2 of the License, or *
+ * (at your option) any later version. *
+ * *
+ * This program is distributed in the hope that it will be useful, *
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of *
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
+ * GNU General Public License for more details. *
+ * *
+ * You should have received a copy of the GNU General Public License *
+ * along with this program. If not, see <http://www.gnu.org/licenses/>. *
+ *****************************************************************************/
+/*!
+ * \file
+ * \ingroup MixedDimension
+ * \brief Reference implementation of a controller class for the Newton solver.
+ *
+ * Usually this controller should be sufficient.
+ */
+#ifndef DUMUX_MIXEDDIMENSION_NEWTON_CONTROLLER_HH
+#define DUMUX_MIXEDDIMENSION_NEWTON_CONTROLLER_HH
+
+#include <dumux/common/propertysystem.hh>
+#include <dumux/common/exceptions.hh>
+#include <dumux/common/math.hh>
+#include <dumux/linear/seqsolverbackend.hh>
+#include "linearsolveracceptsmultitypematrix.hh"
+
+namespace Dumux
+{
+template <class TypeTag>
+class MixedDimensionNewtonController;
+
+namespace Properties
+{
+//! Specifies the implementation of the Newton controller
+NEW_PROP_TAG(NewtonController);
+
+//! Specifies the type of the actual Newton method
+NEW_PROP_TAG(NewtonMethod);
+
+//! Specifies the type of a solution
+NEW_PROP_TAG(SolutionVector);
+
+//! Specifies the type of a global Jacobian matrix
+NEW_PROP_TAG(JacobianMatrix);
+
+//! specifies the type of the time manager
+NEW_PROP_TAG(TimeManager);
+
+/*!
+ * \brief Specifies whether the update should be done using the line search
+ * method instead of the plain Newton method.
+ *
+ * Whether this property has any effect depends on whether the line
+ * search method is implemented for the actual model's Newton
+ * controller's update() method. By default line search is not used.
+ */
+NEW_PROP_TAG(NewtonUseLineSearch);
+
+//! indicate whether the shift criterion should be used
+NEW_PROP_TAG(NewtonEnableShiftCriterion);
+
+//! the value for the maximum relative shift below which convergence is declared
+NEW_PROP_TAG(NewtonMaxRelativeShift);
+
+//! indicate whether the residual criterion should be used
+NEW_PROP_TAG(NewtonEnableResidualCriterion);
+
+//! the value for the residual reduction below which convergence is declared
+NEW_PROP_TAG(NewtonResidualReduction);
+
+//! indicate whether both of the criteria should be satisfied to declare convergence
+NEW_PROP_TAG(NewtonSatisfyResidualAndShiftCriterion);
+
+/*!
+ * \brief The number of iterations at which the Newton method
+ * should aim at.
+ *
+ * This is used to control the time-step size. The heuristic used
+ * is to scale the last time-step size by the deviation of the
+ * number of iterations used from the target steps.
+ */
+NEW_PROP_TAG(NewtonTargetSteps);
+
+//! Number of maximum iterations for the Newton method.
+NEW_PROP_TAG(NewtonMaxSteps);
+
+} // end namespace Properties
+
+/*!
+ * \ingroup MixedDimension
+ * \brief A reference implementation of a Newton controller specific
+ * for the coupled problems of mixed dimension.
+ *
+ * If you want to specialize only some methods but are happy with the
+ * defaults of the reference controller, derive your controller from
+ * this class and simply overload the required methods.
+ */
+template <class TypeTag>
+class MixedDimensionNewtonController
+{
+ using Scalar = typename GET_PROP_TYPE(TypeTag, Scalar);
+ using Implementation = typename GET_PROP_TYPE(TypeTag, NewtonController);
+ using Problem = typename GET_PROP_TYPE(TypeTag, Problem);
+ using Model = typename GET_PROP_TYPE(TypeTag, Model);
+ using NewtonMethod = typename GET_PROP_TYPE(TypeTag, NewtonMethod);
+ using JacobianMatrix = typename GET_PROP_TYPE(TypeTag, JacobianMatrix);
+ using TimeManager = typename GET_PROP_TYPE(TypeTag, TimeManager);
+ using SolutionVector = typename GET_PROP_TYPE(TypeTag, SolutionVector);
+ using LinearSolver = typename GET_PROP_TYPE(TypeTag, LinearSolver);
+ using SubProblemBlockIndices = typename GET_PROP(TypeTag, SubProblemBlockIndices);
+
+ typename SubProblemBlockIndices::BulkIdx bulkIdx;
+ typename SubProblemBlockIndices::LowDimIdx lowDimIdx;
+
+ using BulkProblemTypeTag = typename GET_PROP_TYPE(TypeTag, BulkProblemTypeTag);
+ using LowDimProblemTypeTag = typename GET_PROP_TYPE(TypeTag, LowDimProblemTypeTag);
+
+ enum {
+ numEqBulk = GET_PROP_VALUE(BulkProblemTypeTag, NumEq),
+ numEqLowDim = GET_PROP_VALUE(LowDimProblemTypeTag, NumEq)
+ };
+
+public:
+ /*!
+ * \brief Constructor
+ */
+ MixedDimensionNewtonController(const Problem &problem)
+ : endIterMsgStream_(std::ostringstream::out), linearSolver_(problem)
+ {
+ useLineSearch_ = GET_PARAM_FROM_GROUP(TypeTag, bool, Newton, UseLineSearch);
+ enableShiftCriterion_ = GET_PARAM_FROM_GROUP(TypeTag, bool, Newton, EnableShiftCriterion);
+ enableResidualCriterion_ = GET_PARAM_FROM_GROUP(TypeTag, bool, Newton, EnableResidualCriterion);
+ satisfyResidualAndShiftCriterion_ = GET_PARAM_FROM_GROUP(TypeTag, bool, Newton, SatisfyResidualAndShiftCriterion);
+ if (!enableShiftCriterion_ && !enableResidualCriterion_)
+ {
+ DUNE_THROW(Dune::NotImplemented,
+ "at least one of NewtonEnableShiftCriterion or "
+ << "NewtonEnableResidualCriterion has to be set to true");
+ }
+
+ setMaxRelativeShift(GET_PARAM_FROM_GROUP(TypeTag, Scalar, Newton, MaxRelativeShift));
+ setResidualReduction(GET_PARAM_FROM_GROUP(TypeTag, Scalar, Newton, ResidualReduction));
+ setTargetSteps(GET_PARAM_FROM_GROUP(TypeTag, int, Newton, TargetSteps));
+ setMaxSteps(GET_PARAM_FROM_GROUP(TypeTag, int, Newton, MaxSteps));
+
+ verbose_ = true;
+ numSteps_ = 0;
+ }
+
+ /*!
+ * \brief Set the maximum acceptable difference of any primary variable
+ * between two iterations for declaring convergence.
+ *
+ * \param tolerance The maximum relative shift between two Newton
+ * iterations at which the scheme is considered finished
+ */
+ void setMaxRelativeShift(Scalar tolerance)
+ { shiftTolerance_ = tolerance; }
+
+ /*!
+ * \brief Set the maximum acceptable residual norm reduction.
+ *
+ * \param tolerance The maximum reduction of the residual norm
+ * at which the scheme is considered finished
+ */
+ void setResidualReduction(Scalar tolerance)
+ { reductionTolerance_ = tolerance; }
+
+ /*!
+ * \brief Set the number of iterations at which the Newton method
+ * should aim at.
+ *
+ * This is used to control the time-step size. The heuristic used
+ * is to scale the last time-step size by the deviation of the
+ * number of iterations used from the target steps.
+ *
+ * \param targetSteps Number of iterations which are considered "optimal"
+ */
+ void setTargetSteps(int targetSteps)
+ { targetSteps_ = targetSteps; }
+
+ /*!
+ * \brief Set the number of iterations after which the Newton
+ * method gives up.
+ *
+ * \param maxSteps Number of iterations after we give up
+ */
+ void setMaxSteps(int maxSteps)
+ { maxSteps_ = maxSteps; }
+
+ /*!
+ * \brief Returns true if another iteration should be done.
+ *
+ * \param uCurrentIter The solution of the current Newton iteration
+ */
+ bool newtonProceed(const SolutionVector &uCurrentIter)
+ {
+ if (numSteps_ < 2)
+ return true; // we always do at least two iterations
+ else if (asImp_().newtonConverged()) {
+ return false; // we are below the desired tolerance
+ }
+ else if (numSteps_ >= maxSteps_) {
+ // We have exceeded the allowed number of steps. If the
+ // maximum relative shift was reduced by a factor of at least 4,
+ // we proceed even if we are above the maximum number of steps.
+ if (enableShiftCriterion_)
+ return shift_*4.0 < lastShift_;
+ else
+ return reduction_*4.0 < lastReduction_;
+ }
+
+ return true;
+ }
+
+ /*!
+ * \brief Returns true if the error of the solution is below the
+ * tolerance.
+ */
+ bool newtonConverged() const
+ {
+ if (enableShiftCriterion_ && !enableResidualCriterion_)
+ {
+ return shift_ <= shiftTolerance_;
+ }
+ else if (!enableShiftCriterion_ && enableResidualCriterion_)
+ {
+ return reduction_ <= reductionTolerance_;
+ }
+ else if (satisfyResidualAndShiftCriterion_)
+ {
+ return shift_ <= shiftTolerance_
+ && reduction_ <= reductionTolerance_;
+ }
+ else
+ {
+ return shift_ <= shiftTolerance_
+ || reduction_ <= reductionTolerance_;
+ }
+
+ return false;
+ }
+
+ /*!
+ * \brief Called before the Newton method is applied to an
+ * non-linear system of equations.
+ *
+ * \param method The object where the NewtonMethod is executed
+ * \param u The initial solution
+ */
+ void newtonBegin(NewtonMethod &method, const SolutionVector &u)
+ {
+ method_ = &method;
+ numSteps_ = 0;
+ }
+
+ /*!
+ * \brief Indicates the beginning of a Newton iteration.
+ */
+ void newtonBeginStep()
+ {
+ lastShift_ = shift_;
+ if (numSteps_ == 0)
+ {
+ lastReduction_ = 1.0;
+ }
+ else
+ {
+ lastReduction_ = reduction_;
+ }
+ }
+
+ /*!
+ * \brief Returns the number of steps done since newtonBegin() was
+ * called.
+ */
+ int newtonNumSteps()
+ { return numSteps_; }
+
+ /*!
+ * \brief Update the maximum relative shift of the solution compared to
+ * the previous iteration.
+ *
+ * \param uLastIter The current iterative solution
+ * \param deltaU The difference between the current and the next solution
+ */
+ void newtonUpdateShift(const SolutionVector &uLastIter,
+ const SolutionVector &deltaU)
+ {
+ shift_ = 0;
+
+ for (std::size_t i = 0; i < uLastIter[bulkIdx].size(); ++i)
+ {
+ auto uNewI = uLastIter[bulkIdx][i];
+ uNewI -= deltaU[bulkIdx][i];
+
+ const Scalar shiftAtDof = model_().relativeShiftAtDof(uLastIter[bulkIdx][i],
+ uNewI);
+ shift_ = std::max(shift_, shiftAtDof);
+ }
+
+ for (std::size_t i = 0; i < uLastIter[lowDimIdx].size(); ++i)
+ {
+ auto uNewI = uLastIter[lowDimIdx][i];
+ uNewI -= deltaU[lowDimIdx][i];
+
+ const Scalar shiftAtDof = model_().relativeShiftAtDof(uLastIter[lowDimIdx][i],
+ uNewI);
+ shift_ = std::max(shift_, shiftAtDof);
+ }
+ }
+
+ /*!
+ * \brief Solve the linear system of equations \f$\mathbf{A}x - b = 0\f$.
+ *
+ * Throws Dumux::NumericalProblem if the linear solver didn't
+ * converge.
+ *
+ * If the linear solver doesn't accept multitype matrices we copy the matrix
+ * into a 1x1 block BCRS matrix for solving.
+ *
+ * \param A The matrix of the linear system of equations
+ * \param x The vector which solves the linear system
+ * \param b The right hand side of the linear system
+ */
+ template<typename T = TypeTag>
+ typename std::enable_if<!LinearSolverAcceptsMultiTypeMatrix<T>::value, void>::type
+ newtonSolveLinear(JacobianMatrix &A,
+ SolutionVector &x,
+ SolutionVector &b)
+ {
+ try
+ {
+ if (numSteps_ == 0)
+ initialResidual_ = b.two_norm();
+
+ // copy the matrix and the vector to types the IterativeSolverBackend can handle
+ using MatrixBlock = typename Dune::FieldMatrix<Scalar, 1, 1>;
+ using SparseMatrix = typename Dune::BCRSMatrix<MatrixBlock>;
+
+ // get the new matrix sizes
+ std::size_t numRows = numEqBulk*A[bulkIdx][bulkIdx].N() + numEqLowDim*A[lowDimIdx][bulkIdx].N();
+ std::size_t numCols = numEqBulk*A[bulkIdx][bulkIdx].M() + numEqLowDim*A[bulkIdx][lowDimIdx].M();
+
+ // check matrix sizes
+ assert(A[bulkIdx][bulkIdx].N() == A[bulkIdx][lowDimIdx].N());
+ assert(A[lowDimIdx][bulkIdx].N() == A[lowDimIdx][lowDimIdx].N());
+ assert(numRows == numCols);
+
+ // create the bcrs matrix the IterativeSolver backend can handle
+ auto M = SparseMatrix(numRows, numCols, SparseMatrix::random);
+
+ // set the rowsizes
+ // A11 and A12
+ for (auto row = A[bulkIdx][bulkIdx].begin(); row != A[bulkIdx][bulkIdx].end(); ++row)
+ for (std::size_t i = 0; i < numEqBulk; ++i)
+ M.setrowsize(numEqBulk*row.index() + i, row->size()*numEqBulk);
+ for (auto row = A[bulkIdx][lowDimIdx].begin(); row != A[bulkIdx][lowDimIdx].end(); ++row)
+ for (std::size_t i = 0; i < numEqBulk; ++i)
+ M.setrowsize(numEqBulk*row.index() + i, M.getrowsize(numEqBulk*row.index() + i) + row->size()*numEqLowDim);
+ // A21 and A22
+ for (auto row = A[lowDimIdx][bulkIdx].begin(); row != A[lowDimIdx][bulkIdx].end(); ++row)
+ for (std::size_t i = 0; i < numEqLowDim; ++i)
+ M.setrowsize(numEqLowDim*row.index() + i + A[bulkIdx][bulkIdx].N()*numEqBulk, row->size()*numEqBulk);
+ for (auto row = A[lowDimIdx][lowDimIdx].begin(); row != A[lowDimIdx][lowDimIdx].end(); ++row)
+ for (std::size_t i = 0; i < numEqLowDim; ++i)
+ M.setrowsize(numEqLowDim*row.index() + i + A[bulkIdx][bulkIdx].N()*numEqBulk, M.getrowsize(numEqLowDim*row.index() + i + A[bulkIdx][bulkIdx].N()*numEqBulk) + row->size()*numEqLowDim);
+ M.endrowsizes();
+
+ // set the indices
+ for (auto row = A[bulkIdx][bulkIdx].begin(); row != A[bulkIdx][bulkIdx].end(); ++row)
+ for (auto col = row->begin(); col != row->end(); ++col)
+ for (std::size_t i = 0; i < numEqBulk; ++i)
+ for (std::size_t j = 0; j < numEqBulk; ++j)
+ M.addindex(row.index()*numEqBulk + i, col.index()*numEqBulk + j);
+
+ for (auto row = A[bulkIdx][lowDimIdx].begin(); row != A[bulkIdx][lowDimIdx].end(); ++row)
+ for (auto col = row->begin(); col != row->end(); ++col)
+ for (std::size_t i = 0; i < numEqBulk; ++i)
+ for (std::size_t j = 0; j < numEqLowDim; ++j)
+ M.addindex(row.index()*numEqBulk + i, col.index()*numEqLowDim + j + A[bulkIdx][bulkIdx].M()*numEqBulk);
+
+ for (auto row = A[lowDimIdx][bulkIdx].begin(); row != A[lowDimIdx][bulkIdx].end(); ++row)
+ for (auto col = row->begin(); col != row->end(); ++col)
+ for (std::size_t i = 0; i < numEqLowDim; ++i)
+ for (std::size_t j = 0; j < numEqBulk; ++j)
+ M.addindex(row.index()*numEqLowDim + i + A[bulkIdx][bulkIdx].N()*numEqBulk, col.index()*numEqBulk + j);
+
+ for (auto row = A[lowDimIdx][lowDimIdx].begin(); row != A[lowDimIdx][lowDimIdx].end(); ++row)
+ for (auto col = row->begin(); col != row->end(); ++col)
+ for (std::size_t i = 0; i < numEqLowDim; ++i)
+ for (std::size_t j = 0; j < numEqLowDim; ++j)
+ M.addindex(row.index()*numEqLowDim + i + A[bulkIdx][bulkIdx].N()*numEqBulk, col.index()*numEqLowDim + j + A[bulkIdx][bulkIdx].M()*numEqBulk);
+ M.endindices();
+
+ // copy values
+ for (auto row = A[bulkIdx][bulkIdx].begin(); row != A[bulkIdx][bulkIdx].end(); ++row)
+ for (auto col = row->begin(); col != row->end(); ++col)
+ for (std::size_t i = 0; i < numEqBulk; ++i)
+ for (std::size_t j = 0; j < numEqBulk; ++j)
+ M[row.index()*numEqBulk + i][col.index()*numEqBulk + j] = A[bulkIdx][bulkIdx][row.index()][col.index()][i][j];
+
+ for (auto row = A[bulkIdx][lowDimIdx].begin(); row != A[bulkIdx][lowDimIdx].end(); ++row)
+ for (auto col = row->begin(); col != row->end(); ++col)
+ for (std::size_t i = 0; i < numEqBulk; ++i)
+ for (std::size_t j = 0; j < numEqLowDim; ++j)
+ M[row.index()*numEqBulk + i][col.index()*numEqLowDim + j + A[bulkIdx][bulkIdx].M()*numEqBulk] = A[bulkIdx][lowDimIdx][row.index()][col.index()][i][j];
+
+ for (auto row = A[lowDimIdx][bulkIdx].begin(); row != A[lowDimIdx][bulkIdx].end(); ++row)
+ for (auto col = row->begin(); col != row->end(); ++col)
+ for (std::size_t i = 0; i < numEqLowDim; ++i)
+ for (std::size_t j = 0; j < numEqBulk; ++j)
+ M[row.index()*numEqLowDim + i + A[bulkIdx][bulkIdx].N()*numEqBulk][col.index()*numEqBulk + j] = A[lowDimIdx][bulkIdx][row.index()][col.index()][i][j];
+
+ for (auto row = A[lowDimIdx][lowDimIdx].begin(); row != A[lowDimIdx][lowDimIdx].end(); ++row)
+ for (auto col = row->begin(); col != row->end(); ++col)
+ for (std::size_t i = 0; i < numEqLowDim; ++i)
+ for (std::size_t j = 0; j < numEqLowDim; ++j)
+ M[row.index()*numEqLowDim + i + A[bulkIdx][bulkIdx].N()*numEqBulk][col.index()*numEqLowDim + j + A[bulkIdx][bulkIdx].M()*numEqBulk] = A[lowDimIdx][lowDimIdx][row.index()][col.index()][i][j];
+
+ // create the vector the IterativeSolver backend can handle
+ using VectorBlock = typename Dune::FieldVector<Scalar, 1>;
+ using BlockVector = typename Dune::BlockVector<VectorBlock>;
+
+ BlockVector y, bTmp;
+ y.resize(numRows);
+ bTmp.resize(numCols);
+ for (std::size_t i = 0; i < b[bulkIdx].N(); ++i)
+ for (std::size_t j = 0; j < numEqBulk; ++j)
+ bTmp[i*numEqBulk + j] = b[bulkIdx][i][j];
+ for (std::size_t i = 0; i < b[lowDimIdx].N(); ++i)
+ for (std::size_t j = 0; j < numEqLowDim; ++j)
+ bTmp[i*numEqLowDim + j + b[bulkIdx].N()*numEqBulk] = b[lowDimIdx][i][j];
+
+ // solve
+ bool converged = linearSolver_.solve(M, y, bTmp);
+
+ // copy back the result y into x
+ for (std::size_t i = 0; i < x[bulkIdx].N(); ++i)
+ for (std::size_t j = 0; j < numEqBulk; ++j)
+ x[bulkIdx][i][j] = y[i*numEqBulk + j];
+ for (std::size_t i = 0; i < x[lowDimIdx].N(); ++i)
+ for (std::size_t j = 0; j < numEqLowDim; ++j)
+ x[lowDimIdx][i][j] = y[i*numEqLowDim + j + x[bulkIdx].N()*numEqBulk];
+
+ if (!converged)
+ DUNE_THROW(NumericalProblem, "Linear solver did not converge");
+ }
+ catch (const Dune::Exception &e)
+ {
+ Dumux::NumericalProblem p;
+ p.message(e.what());
+ throw p;
+ }
+ }
+
+ /*!
+ * \brief Solve the linear system of equations \f$\mathbf{A}x - b = 0\f$.
+ *
+ * Throws Dumux::NumericalProblem if the linear solver didn't
+ * converge.
+ *
+ * \param A The matrix of the linear system of equations
+ * \param x The vector which solves the linear system
+ * \param b The right hand side of the linear system
+ */
+ template<typename T = TypeTag>
+ typename std::enable_if<LinearSolverAcceptsMultiTypeMatrix<T>::value, void>::type
+ newtonSolveLinear(JacobianMatrix &A,
+ SolutionVector &x,
+ SolutionVector &b)
+ {
+ try
+ {
+ if (numSteps_ == 0)
+ initialResidual_ = b.two_norm();
+
+ bool converged = linearSolver_.solve(A, x, b);
+
+ if (!converged)
+ DUNE_THROW(NumericalProblem, "Linear solver did not converge");
+ }
+ catch (const Dune::Exception &e)
+ {
+ Dumux::NumericalProblem p;
+ p.message(e.what());
+ throw p;
+ }
+ }
+
+ /*!
+ * \brief Update the current solution with a delta vector.
+ *
+ * The error estimates required for the newtonConverged() and
+ * newtonProceed() methods should be updated inside this method.
+ *
+ * Different update strategies, such as line search and chopped
+ * updates can be implemented. The default behavior is just to
+ * subtract deltaU from uLastIter, i.e.
+ * \f[ u^{k+1} = u^k - \Delta u^k \f]
+ *
+ * \param uCurrentIter The solution vector after the current iteration
+ * \param uLastIter The solution vector after the last iteration
+ * \param deltaU The delta as calculated from solving the linear
+ * system of equations. This parameter also stores
+ * the updated solution.
+ */
+ void newtonUpdate(SolutionVector &uCurrentIter,
+ const SolutionVector &uLastIter,
+ const SolutionVector &deltaU)
+ {
+ if (enableShiftCriterion_)
+ newtonUpdateShift(uLastIter, deltaU);
+
+ if (useLineSearch_)
+ lineSearchUpdate_(uCurrentIter, uLastIter, deltaU);
+ else
+ {
+ for (std::size_t i = 0; i < uLastIter[bulkIdx].size(); ++i)
+ {
+ uCurrentIter[bulkIdx][i] = uLastIter[bulkIdx][i];
+ uCurrentIter[bulkIdx][i] -= deltaU[bulkIdx][i];
+ }
+ for (std::size_t i = 0; i < uLastIter[lowDimIdx].size(); ++i)
+ {
+ uCurrentIter[lowDimIdx][i] = uLastIter[lowDimIdx][i];
+ uCurrentIter[lowDimIdx][i] -= deltaU[lowDimIdx][i];
+ }
+
+ if (enableResidualCriterion_)
+ {
+ SolutionVector tmp(uLastIter);
+ reduction_ = model_().globalResidual(tmp, uCurrentIter);
+ reduction_ /= initialResidual_;
+ }
+ }
+
+ // copy the global solution to the sub problems
+ model_().copySolutionToSubProblems();
+ }
+
+ /*!
+ * \brief Indicates that one Newton iteration was finished.
+ *
+ * \param uCurrentIter The solution after the current Newton iteration
+ * \param uLastIter The solution at the beginning of the current Newton iteration
+ */
+ void newtonEndStep(const SolutionVector &uCurrentIter,
+ const SolutionVector &uLastIter)
+ {
+ // Eventuall update the volume variables
+ this->model_().newtonEndStep();
+
+ ++numSteps_;
+
+ if (verbose())
+ {
+ std::cout << "\rNewton iteration " << numSteps_ << " done";
+ if (enableShiftCriterion_)
+ std::cout << ", maximum relative shift = " << shift_;
+ if (enableResidualCriterion_)
+ std::cout << ", residual reduction = " << reduction_;
+ std::cout << endIterMsg().str() << "\n";
+ }
+ endIterMsgStream_.str("");
+
+ // When the newton iteration is done: ask the model to check if it makes sense.
+ model_().checkPlausibility();
+ }
+
+ /*!
+ * \brief Indicates that we're done solving the non-linear system
+ * of equations.
+ */
+ void newtonEnd()
+ {}
+
+ /*!
+ * \brief Called if the Newton method broke down.
+ *
+ * This method is called _after_ newtonEnd()
+ */
+ void newtonFail()
+ {
+ numSteps_ = targetSteps_*2;
+ }
+
+ /*!
+ * \brief Called when the Newton method was successful.
+ *
+ * This method is called _after_ newtonEnd()
+ */
+ void newtonSucceed()
+ {}
+
+ /*!
+ * \brief Suggest a new time-step size based on the old time-step
+ * size.
+ *
+ * The default behavior is to suggest the old time-step size
+ * scaled by the ratio between the target iterations and the
+ * iterations required to actually solve the last time-step.
+ */
+ Scalar suggestTimeStepSize(Scalar oldTimeStep) const
+ {
+ // be aggressive reducing the time-step size but
+ // conservative when increasing it. the rationale is
+ // that we want to avoid failing in the next Newton
+ // iteration which would require another linearization
+ // of the problem.
+ if (numSteps_ > targetSteps_) {
+ Scalar percent = Scalar(numSteps_ - targetSteps_)/targetSteps_;
+ return oldTimeStep/(1.0 + percent);
+ }
+
+ Scalar percent = Scalar(targetSteps_ - numSteps_)/targetSteps_;
+ return oldTimeStep*(1.0 + percent/1.2);
+ }
+
+ /*!
+ * \brief Returns a reference to the current Newton method
+ * which is controlled by this controller.
+ */
+ NewtonMethod &method()
+ { return *method_; }
+
+ /*!
+ * \brief Returns a reference to the current Newton method
+ * which is controlled by this controller.
+ */
+ const NewtonMethod &method() const
+ { return *method_; }
+
+ std::ostringstream &endIterMsg()
+ { return endIterMsgStream_; }
+
+ /*!
+ * \brief Specifies if the Newton method ought to be chatty.
+ */
+ void setVerbose(bool val)
+ { verbose_ = val; }
+
+ /*!
+ * \brief Returns true if the Newton method ought to be chatty.
+ */
+ bool verbose() const
+ { return verbose_; }
+
+protected:
+
+ /*!
+ * \brief Returns a reference to the problem.
+ */
+ Problem &problem_()
+ { return method_->problem(); }
+
+ /*!
+ * \brief Returns a reference to the problem.
+ */
+ const Problem &problem_() const
+ { return method_->problem(); }
+
+ /*!
+ * \brief Returns a reference to the time manager.
+ */
+ TimeManager &timeManager_()
+ { return problem_().timeManager(); }
+
+ /*!
+ * \brief Returns a reference to the time manager.
+ */
+ const TimeManager &timeManager_() const
+ { return problem_().timeManager(); }
+
+ /*!
+ * \brief Returns a reference to the problem.
+ */
+ Model &model_()
+ { return problem_().model(); }
+
+ /*!
+ * \brief Returns a reference to the problem.
+ */
+ const Model &model_() const
+ { return problem_().model(); }
+
+ // returns the actual implementation for the controller we do
+ // it this way in order to allow "poor man's virtual methods",
+ // i.e. methods of subclasses which can be called by the base
+ // class.
+ Implementation &asImp_()
+ { return *static_cast<Implementation*>(this); }
+ const Implementation &asImp_() const
+ { return *static_cast<const Implementation*>(this); }
+
+ void lineSearchUpdate_(SolutionVector &uCurrentIter,
+ const SolutionVector &uLastIter,
+ const SolutionVector &deltaU)
+ {
+ Scalar lambda = 1.0;
+ SolutionVector tmp(uLastIter);
+
+ while (true)
+ {
+ uCurrentIter = deltaU;
+ uCurrentIter *= -lambda;
+ uCurrentIter += uLastIter;
+
+ // calculate the residual of the current solution
+ reduction_ = this->method().model().globalResidual(tmp, uCurrentIter);
+ reduction_ /= initialResidual_;
+
+ if (reduction_ < lastReduction_ || lambda <= 0.125)
+ {
+ this->endIterMsg() << ", residual reduction " << lastReduction_ << "->" << reduction_ << "@lambda=" << lambda;
+ return;
+ }
+
+ // try with a smaller update
+ lambda /= 2.0;
+ }
+ }
+
+ std::ostringstream endIterMsgStream_;
+
+ NewtonMethod *method_;
+ bool verbose_;
+
+ // shift criterion variables
+ Scalar shift_;
+ Scalar lastShift_;
+ Scalar shiftTolerance_;
+
+ // residual criterion variables
+ Scalar reduction_;
+ Scalar lastReduction_;
+ Scalar initialResidual_;
+ Scalar reductionTolerance_;
+
+ // optimal number of iterations we want to achieve
+ int targetSteps_;
+ // maximum number of iterations we do before giving up
+ int maxSteps_;
+ // actual number of steps done so far
+ int numSteps_;
+
+ // the linear solver
+ LinearSolver linearSolver_;
+
+ bool useLineSearch_;
+ bool enableShiftCriterion_;
+ bool enableResidualCriterion_;
+ bool satisfyResidualAndShiftCriterion_;
+};
+
+} // namespace Dumux
+
+#endif
diff --git a/dumux/mixeddimension/problem.hh b/dumux/mixeddimension/problem.hh
new file mode 100644
index 0000000000000000000000000000000000000000..d0e7292231de3941be0b7f88e181f245eed1c36a
--- /dev/null
+++ b/dumux/mixeddimension/problem.hh
@@ -0,0 +1,583 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ * See the file COPYING for full copying permissions. *
+ * *
+ * This program is free software: you can redistribute it and/or modify *
+ * it under the terms of the GNU General Public License as published by *
+ * the Free Software Foundation, either version 2 of the License, or *
+ * (at your option) any later version. *
+ * *
+ * This program is distributed in the hope that it will be useful, *
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of *
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
+ * GNU General Public License for more details. *
+ * *
+ * You should have received a copy of the GNU General Public License *
+ * along with this program. If not, see <http://www.gnu.org/licenses/>. *
+ *****************************************************************************/
+/*!
+ * \file
+ * \ingroup MixedDimension
+ * \brief Base class for problems with which involve two sub problems
+ * of different dimensions.
+ */
+
+#ifndef DUMUX_MIXEDDIMENSION_PROBLEM_HH
+#define DUMUX_MIXEDDIMENSION_PROBLEM_HH
+
+#include <dune/common/exceptions.hh>
+#include <dumux/common/exceptions.hh>
+#include <dumux/mixeddimension/properties.hh>
+#include <dumux/mixeddimension/model.hh>
+
+namespace Dumux
+{
+
+/*!
+ * \ingroup MixedDimension
+ * \brief Base class for probems which involve two sub problems of different dimensions
+ */
+template<class TypeTag>
+class MixedDimensionProblem
+{
+ typedef typename GET_PROP_TYPE(TypeTag, Problem) Implementation;
+ typedef typename GET_PROP_TYPE(TypeTag, TimeManager) TimeManager;
+ typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+ typedef typename GET_PROP_TYPE(TypeTag, CouplingManager) CouplingManager;
+ typedef typename GET_PROP_TYPE(TypeTag, NewtonMethod) NewtonMethod;
+ typedef typename GET_PROP_TYPE(TypeTag, NewtonController) NewtonController;
+ typedef typename GET_PROP_TYPE(TypeTag, Model) Model;
+
+ // obtain the type tags of the sub problems
+ typedef typename GET_PROP_TYPE(TypeTag, BulkProblemTypeTag) BulkProblemTypeTag;
+ typedef typename GET_PROP_TYPE(TypeTag, LowDimProblemTypeTag) LowDimProblemTypeTag;
+
+ // obtain types from the sub problem type tags
+ typedef typename GET_PROP_TYPE(BulkProblemTypeTag, Problem) BulkProblem;
+ typedef typename GET_PROP_TYPE(LowDimProblemTypeTag, Problem) LowDimProblem;
+
+ typedef typename GET_PROP_TYPE(BulkProblemTypeTag, TimeManager) BulkTimeManager;
+ typedef typename GET_PROP_TYPE(LowDimProblemTypeTag, TimeManager) LowDimTimeManager;
+
+ typedef typename GET_PROP_TYPE(BulkProblemTypeTag, GridView) BulkGridView;
+ typedef typename GET_PROP_TYPE(LowDimProblemTypeTag, GridView) LowDimGridView;
+
+ typedef typename GET_PROP_TYPE(BulkProblemTypeTag, SolutionVector) BulkSolutionVector;
+ typedef typename GET_PROP_TYPE(LowDimProblemTypeTag, SolutionVector) LowDimSolutionVector;
+
+public:
+ MixedDimensionProblem(TimeManager &timeManager,
+ const BulkGridView &bulkGridView,
+ const LowDimGridView &lowDimGridView)
+ : timeManager_(timeManager),
+ bulkGridView_(bulkGridView),
+ lowDimGridView_(lowDimGridView),
+ bulkProblem_(bulkTimeManager_, bulkGridView),
+ lowDimProblem_(lowDimTimeManager_, lowDimGridView),
+ couplingManager_(std::make_shared<CouplingManager>(bulkProblem_, lowDimProblem_)),
+ newtonMethod_(asImp_()),
+ newtonCtl_(asImp_())
+ {
+ // check if we got the right dimensions
+ static_assert(int(BulkGridView::dimension) > int(LowDimGridView::dimension), "The bulk grid dimension has to be greater than the low-dimensional grid dimension.");
+ static_assert(int(BulkGridView::dimensionworld) == int(LowDimGridView::dimensionworld), "The subproblems have to live in the same world dimension.");
+
+ // iterative or monolithic
+ useIterativeSolver_ = GET_PARAM_FROM_GROUP(TypeTag, bool, MixedDimension, UseIterativeSolver);
+
+ // read data from the input file
+ name_ = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, std::string, Problem, Name);
+ episodeTime_ = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, TimeManager, EpisodeTime);
+ maxTimeStepSize_ = GET_PARAM_FROM_GROUP(TypeTag, Scalar, TimeManager, MaxTimeStepSize);
+
+ if (useIterativeSolver_)
+ {
+ maxIterations_ = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, int, IterativeAlgorithm, MaxIterations);
+ tolerance_ = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, IterativeAlgorithm, Tolerance);
+ verbose_ = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, bool, IterativeAlgorithm, Verbose);
+ }
+ }
+
+ /*!
+ * \brief Called by the Dumux::TimeManager in order to
+ * initialize the problem and the sub-problems.
+ *
+ * If you overload this method don't forget to call
+ * ParentType::init()
+ */
+ void init()
+ {
+ Scalar tStart = timeManager().time();
+ Scalar tEnd = timeManager().endTime();
+
+ const bool restart = tStart > 0;
+
+ Scalar dtBulkProblem;
+ Scalar dtLowDimProblem;
+
+ // get initial time step size for the subproblems
+ if (useIterativeSolver_)
+ {
+ dtBulkProblem = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, TimeManager, DtInitialBulkProblem);
+ dtLowDimProblem = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, TimeManager, DtInitialLowDimProblem);
+ }
+ else
+ {
+ dtBulkProblem = timeManager().timeStepSize();
+ dtLowDimProblem = timeManager().timeStepSize();
+ }
+
+ // start new episode
+ // episode are used to keep the subproblems in sync. At the end of each episode
+ // of the coupled problem the subproblem need to arrive at the same time.
+ // this is relevant if the time step sizes of the subproblems are different.
+ timeManager().startNextEpisode(episodeTime_);
+ bulkTimeManager().startNextEpisode(episodeTime_);
+ lowDimTimeManager().startNextEpisode(episodeTime_);
+
+ // initialize the problem coupler prior to the problems
+ couplingManager().preInit();
+
+ // set the coupling manager in the sub problems
+ bulkProblem().setCouplingManager(couplingManager_);
+ lowDimProblem().setCouplingManager(couplingManager_);
+
+ // initialize the subproblem time managers (this also initializes the subproblems)
+ bulkTimeManager().init(bulkProblem(), tStart, dtBulkProblem, tEnd, restart);
+ lowDimTimeManager().init(lowDimProblem(), tStart, dtLowDimProblem, tEnd, restart);
+
+ // finalize the problem coupler
+ couplingManager().postInit();
+
+ if (!useIterativeSolver_)
+ model().init(asImp_());
+ }
+
+ /*!
+ * \brief This method writes the complete state of the simulation
+ * to the harddisk.
+ *
+ * The file will start with the prefix returned by the name()
+ * method, has the current time of the simulation clock in it's
+ * name and uses the extension <tt>.drs</tt>. (Dumux ReStart
+ * file.) See Dumux::Restart for details.
+ */
+ void serialize()
+ {}
+
+ /*!
+ * \brief Called by the time manager before the time integration.
+ */
+ void preTimeStep()
+ {
+ if (useIterativeSolver_)
+ {
+ previousSolBulk_ = bulkProblem().model().curSol();
+ previousSolLowDim_ = lowDimProblem().model().curSol();
+ }
+ else
+ {
+ bulkProblem().preTimeStep();
+ lowDimProblem().preTimeStep();
+ }
+ }
+
+ /*!
+ * \brief Called by Dumux::TimeManager in order to do a time
+ * integration on the model. Algorithms for the time integration are
+ * implemented here.
+ */
+ void timeIntegration()
+ {
+ if (useIterativeSolver_)
+ asImp_().timeIntegrationIterative();
+ else
+ asImp_().timeIntegrationMonolithic();
+ }
+
+ /*!
+ * \brief Time integration for the iterative solver.
+ */
+ void timeIntegrationIterative()
+ {
+ std::cout << std::endl;
+ std::cout << "Start coupled time integration starting at t = " << timeManager().time() << std::endl;
+
+ Scalar error = 1.0;
+ Scalar pBulkNorm = 0.0;
+ Scalar pLowDimNorm = 0.0;
+ BulkSolutionVector solBulkDiff;
+ LowDimSolutionVector solLowDimDiff;
+ int iterations = 0;
+
+ if(verbose_)
+ std::cout << "Starting iterative algorithm "
+ << "with tolerance = " << tolerance_
+ << " and max iterations = " << maxIterations_ << std::endl;
+
+ // iterative algorithm within each time step
+ while(error > tolerance_)
+ {
+ if(iterations >= maxIterations_)
+ DUNE_THROW(Dumux::NumericalProblem, "Iterative algorithm didn't converge in " + std::to_string(maxIterations_) + " iterations!");
+
+ // run the bulk model
+ if(verbose_) std::cout << "Solving the bulk problem " << bulkProblem().name() << std::endl;
+ bulkTimeManager().setTime(timeManager().time(), 0);
+ bulkTimeManager().setEndTime(timeManager().time() + timeManager().timeStepSize());
+ bulkTimeManager().setTimeStepSize(bulkTimeManager().previousTimeStepSize());
+ bulkTimeManager().run(); // increases the time step index
+
+ // run the low dimensional problem
+ if(verbose_) std::cout << "Solving the low-dimensional problem " << lowDimProblem().name() << std::endl;
+ lowDimTimeManager().setTime(timeManager().time(), 0);
+ lowDimTimeManager().setEndTime(timeManager().time() + timeManager().timeStepSize());
+ lowDimTimeManager().setTimeStepSize(lowDimTimeManager().previousTimeStepSize());
+ lowDimTimeManager().run(); // increases the time step index
+
+ // get current solution
+ currentSolBulk_ = bulkProblem().model().curSol();
+ currentSolLowDim_ = lowDimProblem().model().curSol();
+
+ // calculate discrete l2-norm of pressure
+ solBulkDiff = previousSolBulk_;
+ solBulkDiff -= currentSolBulk_;
+ solLowDimDiff = previousSolLowDim_;
+ solLowDimDiff -= currentSolLowDim_;
+
+ pBulkNorm = solBulkDiff.infinity_norm()/currentSolBulk_.infinity_norm();
+ pLowDimNorm = solLowDimDiff.infinity_norm()/currentSolLowDim_.infinity_norm();
+
+ // calculate the error
+ error = pBulkNorm + pLowDimNorm;
+
+ // update the previous solution
+ previousSolBulk_ = currentSolBulk_;
+ previousSolLowDim_ = currentSolLowDim_;
+
+ iterations++;
+
+ if(verbose_)
+ {
+ std::cout << "Iteration " << iterations << " done "
+ << "with maximum relative shift in bulk domain = " << pBulkNorm
+ << " and maximum relative shift in lower-dimensional domain = " << pLowDimNorm
+ << " | total error = " << error << std::endl;
+ }
+
+ }// end while(error > tolerance_)
+
+ if(verbose_)
+ {
+ std::cout << "Iterative algorithm finished with " << iterations << " iterations "
+ << "and total error = " << error << std::endl;
+ }
+ }
+
+ /*!
+ * \brief Time integration for the monolithic solver.
+ */
+ void timeIntegrationMonolithic()
+ {
+ const int maxFails = GET_PARAM_FROM_GROUP(TypeTag, int, Implicit, MaxTimeStepDivisions);
+
+ std::cout << std::endl;
+ std::cout << "Start coupled time integration starting at t = " << timeManager().time() << std::endl;
+
+ for (int i = 0; i < maxFails; ++i)
+ {
+ if (model().update(newtonMethod(), newtonController()))
+ return;
+
+ const Scalar dt = timeManager().timeStepSize();
+ const Scalar nextDt = dt / 2;
+ timeManager().setTimeStepSize(nextDt);
+ bulkTimeManager().setTimeStepSize(nextDt);
+ lowDimTimeManager().setTimeStepSize(nextDt);
+
+ // update failed
+ std::cout << "Newton solver did not converge with dt="<<dt<<" seconds. Retrying with time step of "
+ << nextDt << " seconds\n";
+ }
+
+ DUNE_THROW(Dune::MathError,
+ "Newton solver didn't converge after "
+ << maxFails
+ << " time-step divisions. dt="
+ << timeManager().timeStepSize());
+ }
+
+ /*!
+ * \brief Called by the time manager after the time integration to
+ * do some post processing on the solution.
+ */
+ void postTimeStep()
+ {
+ if (!useIterativeSolver_)
+ {
+ bulkProblem().postTimeStep();
+ lowDimProblem().postTimeStep();
+ }
+ }
+
+ /*!
+ * \brief Called by Dumux::TimeManager whenever a solution for a
+ * timestep has been computed and the simulation time has
+ * been updated.
+ */
+ Scalar nextTimeStepSize(const Scalar dt)
+ {
+ Scalar newDt = newtonCtl_.suggestTimeStepSize(dt);
+ bulkTimeManager().setTimeStepSize(newDt);
+ lowDimTimeManager().setTimeStepSize(newDt);
+
+ return newDt;
+ }
+
+ /*!
+ * \brief Returns true if the current solution should be written to
+ * disk (i.e. as a VTK file)
+ */
+ bool shouldWriteOutput() const
+ {
+ return (timeManager().episodeWillBeFinished() || timeManager().willBeFinished());
+ }
+
+ /*!
+ * \brief Returns true if the current state of the simulation
+ * should be written to disk
+ */
+ bool shouldWriteRestartFile() const
+ {
+ return false;
+ }
+
+ /*!
+ * \brief Returns the user specified maximum time step size
+ *
+ * Overload in problem for custom needs.
+ */
+ Scalar maxTimeStepSize() const
+ {
+ return maxTimeStepSize_;
+ }
+
+ /*!
+ * \brief Called by the time manager after the end of an episode.
+ */
+ void episodeEnd()
+ {
+ timeManager().startNextEpisode(episodeTime_);
+ bulkTimeManager().startNextEpisode(episodeTime_);
+ lowDimTimeManager().startNextEpisode(episodeTime_);
+
+ if (!useIterativeSolver_)
+ {
+ // set the initial time step size of a an episode to the last real time step size before the episode
+ Scalar nextDt = std::max(timeManager().previousTimeStepSize(), timeManager().timeStepSize());
+ bulkTimeManager().setTimeStepSize(nextDt);
+ lowDimTimeManager().setTimeStepSize(nextDt);
+ }
+ }
+
+ /*!
+ * \brief The problem name.
+ *
+ * This is used as a prefix for files generated by the simulation.
+ * It could be either overwritten by the problem files, or simply
+ * declared over the setName() function in the application file.
+ */
+ const std::string name() const
+ {
+ return name_;
+ }
+
+ /*!
+ * \brief Called by the time manager after everything which can be
+ * done about the current time step is finished and the
+ * model should be prepared to do the next time integration.
+ */
+ void advanceTimeLevel()
+ {
+ model().advanceTimeLevel();
+
+ asImp_().bulkProblem().advanceTimeLevel();
+ asImp_().lowDimProblem().advanceTimeLevel();
+
+ if (!useIterativeSolver_)
+ {
+ // foward current time to the subproblems for correct output
+ bulkTimeManager().setTime(timeManager().time() + timeManager().timeStepSize(), timeManager().timeStepIndex()+1);
+ lowDimTimeManager().setTime(timeManager().time() + timeManager().timeStepSize(), timeManager().timeStepIndex()+1);
+ }
+ }
+
+ /*!
+ * \brief Write the relevant quantities of the current solution into
+ * an VTK output file.
+ */
+ void writeOutput()
+ {
+ // write the current result to disk
+ if (asImp_().shouldWriteOutput() && !(timeManager().time() < 0))
+ {
+ asImp_().bulkProblem().writeOutput();
+ asImp_().lowDimProblem().writeOutput();
+ }
+ }
+
+ /*!
+ * \brief Load a previously saved state of the whole simulation
+ * from disk.
+ *
+ * \param tRestart The simulation time on which the program was
+ * written to disk.
+ */
+ void restart(const Scalar tRestart)
+ {
+ DUNE_THROW(Dune::NotImplemented, "Restart mixeddimension simulations.");
+ }
+
+ //! Returns the leafGridView of the bulk problem
+ const BulkGridView &bulkGridView() const
+ { return bulkGridView_; }
+
+ //! Returns the leafGridView of the low dimensional problem
+ const LowDimGridView &lowDimGridView() const
+ { return lowDimGridView_; }
+
+ //! Returns the time manager of the mixeddimension problem
+ const TimeManager &timeManager() const
+ { return timeManager_; }
+
+ //! Returns the time manager of the mixeddimension problem
+ TimeManager &timeManager()
+ { return timeManager_; }
+
+ //! Returns a reference to the bulk problem
+ BulkProblem &bulkProblem()
+ { return bulkProblem_; }
+
+ //! Returns a const reference to the bulk problem
+ const BulkProblem &bulkProblem() const
+ { return bulkProblem_; }
+
+ //! Returns a reference to the low dimensional problem
+ LowDimProblem &lowDimProblem()
+ { return lowDimProblem_; }
+
+ //! Returns a const reference to the low dimensional problem
+ const LowDimProblem &lowDimProblem() const
+ { return lowDimProblem_; }
+
+ //! Returns a const reference to the bulk time manager
+ const BulkTimeManager &bulkTimeManager() const
+ { return bulkTimeManager_; }
+
+ //! Returns a reference to the bulk time manager
+ BulkTimeManager &bulkTimeManager()
+ { return bulkTimeManager_; }
+
+ //! Returns a const reference to the low dimensional time manager
+ const LowDimTimeManager &lowDimTimeManager() const
+ { return lowDimTimeManager_; }
+
+ //! Returns a reference to the low dimensional time manager
+ LowDimTimeManager &lowDimTimeManager()
+ { return lowDimTimeManager_; }
+
+ //! Return reference to the coupling manager
+ CouplingManager &couplingManager()
+ { return *couplingManager_; }
+
+ //! Return const reference to the coupling manager
+ const CouplingManager &couplingManager() const
+ { return *couplingManager_; }
+
+ /*!
+ * \brief Returns numerical model used for the problem.
+ */
+ Model &model()
+ { return model_; }
+
+ /*!
+ * \copydoc model()
+ */
+ const Model &model() const
+ { return model_; }
+
+ /*!
+ * \brief Returns the newton method object
+ */
+ NewtonMethod &newtonMethod()
+ { return newtonMethod_; }
+
+ /*!
+ * \copydoc newtonMethod()
+ */
+ const NewtonMethod &newtonMethod() const
+ { return newtonMethod_; }
+
+ /*!
+ * \brief Returns the newton contoller object
+ */
+ NewtonController &newtonController()
+ { return newtonCtl_; }
+
+ /*!
+ * \copydoc newtonController()
+ */
+ const NewtonController &newtonController() const
+ { return newtonCtl_; }
+
+private:
+
+ //! Returns the implementation of the problem (i.e. static polymorphism)
+ Implementation &asImp_()
+ { return *static_cast<Implementation *>(this); }
+
+ //! Returns the implementation of the problem (i.e. static polymorphism)
+ const Implementation &asImp_() const
+ { return *static_cast<const Implementation *>(this); }
+
+ TimeManager &timeManager_;
+
+ BulkGridView bulkGridView_;
+ LowDimGridView lowDimGridView_;
+
+ BulkTimeManager bulkTimeManager_;
+ LowDimTimeManager lowDimTimeManager_;
+
+ Scalar maxTimeStepSize_;
+ BulkProblem bulkProblem_;
+ LowDimProblem lowDimProblem_;
+
+ BulkSolutionVector previousSolBulk_;
+ LowDimSolutionVector previousSolLowDim_;
+
+ BulkSolutionVector currentSolBulk_;
+ LowDimSolutionVector currentSolLowDim_;
+
+ std::shared_ptr<CouplingManager> couplingManager_;
+
+ Model model_;
+
+ NewtonMethod newtonMethod_;
+ NewtonController newtonCtl_;
+
+ Scalar episodeTime_;
+
+ bool useIterativeSolver_;
+
+ // for the iterative algorithm
+ int maxIterations_;
+ Scalar tolerance_;
+ bool verbose_;
+
+ std::string name_;
+};
+
+}//end namespace Dumux
+
+#endif
diff --git a/dumux/mixeddimension/properties.hh b/dumux/mixeddimension/properties.hh
new file mode 100644
index 0000000000000000000000000000000000000000..f74480c0193e654045181266afb137ce42dacfa3
--- /dev/null
+++ b/dumux/mixeddimension/properties.hh
@@ -0,0 +1,200 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ * See the file COPYING for full copying permissions. *
+ * *
+ * This program is free software: you can redistribute it and/or modify *
+ * it under the terms of the GNU General Public License as published by *
+ * the Free Software Foundation, either version 2 of the License, or *
+ * (at your option) any later version. *
+ * *
+ * This program is distributed in the hope that it will be useful, *
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of *
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
+ * GNU General Public License for more details. *
+ * *
+ * You should have received a copy of the GNU General Public License *
+ * along with this program. If not, see <http://www.gnu.org/licenses/>. *
+ *****************************************************************************/
+/*!
+ * \file
+ * \ingroup MixedDimension
+ * \brief Base properties for problems of mixed dimension
+ * two sub problems
+ */
+
+#ifndef DUMUX_MIXEDDIMENSION_PROPERTIES_HH
+#define DUMUX_MIXEDDIMENSION_PROPERTIES_HH
+
+#include <dune/common/fvector.hh>
+#include <dune/common/fmatrix.hh>
+#include <dune/common/indices.hh>
+#include <dune/istl/bcrsmatrix.hh>
+#include <dune/istl/multitypeblockvector.hh>
+#include <dune/istl/multitypeblockmatrix.hh>
+
+#include <dumux/common/basicproperties.hh>
+#include <dumux/linear/linearsolverproperties.hh>
+#include <dumux/nonlinear/newtonmethod.hh>
+#include <dumux/common/timemanager.hh>
+
+#include <dumux/mixeddimension/subproblemlocaljacobian.hh>
+
+namespace Dumux
+{
+
+// forward declarations
+template <class TypeTag> class MixedDimensionModel;
+// template <class TypeTag> class BulkLocalJacobian;
+// template <class TypeTag> class LowDimLocalJacobian;
+template <class TypeTag> class MixedDimensionNewtonController;
+template <class TypeTag> class MixedDimensionAssembler;
+
+namespace Properties
+{
+// NumericModel provides Scalar, GridCreator, ParameterTree
+NEW_TYPE_TAG(MixedDimension, INHERITS_FROM(NewtonMethod, LinearSolverTypeTag, NumericModel));
+
+NEW_PROP_TAG(Model); //!< The type of the base class of the model
+NEW_PROP_TAG(BulkLocalJacobian); //!< The type of the bulk local jacobian operator
+NEW_PROP_TAG(LowDimLocalJacobian); //!< The type of the low dim local jacobian operator
+
+NEW_PROP_TAG(SolutionVector); //!< Vector containing all primary variable vector of the grid
+
+NEW_PROP_TAG(JacobianAssembler); //!< Assembles the global jacobian matrix
+NEW_PROP_TAG(JacobianMatrix); //!< Type of the global jacobian matrix
+
+// high level simulation control
+NEW_PROP_TAG(TimeManager); //!< Manages the simulation time
+
+/*!
+ * \brief Specify which kind of method should be used to numerically
+ * calculate the partial derivatives of the residual.
+ *
+ * -1 means backward differences, 0 means central differences, 1 means
+ * forward differences. By default we use central differences.
+ */
+NEW_PROP_TAG(ImplicitNumericDifferenceMethod);
+
+//! the maximum allowed number of timestep divisions for the
+//! Newton solver
+NEW_PROP_TAG(ImplicitMaxTimeStepDivisions);
+
+// property tags that will be set in the problem at hand
+NEW_PROP_TAG(BulkProblemTypeTag);
+NEW_PROP_TAG(LowDimProblemTypeTag);
+NEW_PROP_TAG(Problem);
+NEW_PROP_TAG(CouplingManager);
+NEW_PROP_TAG(MixedDimensionUseIterativeSolver);
+NEW_PROP_TAG(SubProblemBlockIndices);
+
+// forward declarations
+NEW_PROP_TAG(NumEq);
+
+//////////////////////////////////////////////////////////////////
+// Properties
+//////////////////////////////////////////////////////////////////
+//! use the plain newton method by default
+SET_TYPE_PROP(MixedDimension, NewtonMethod, NewtonMethod<TypeTag>);
+
+//! set default values
+SET_TYPE_PROP(MixedDimension, NewtonController, MixedDimensionNewtonController<TypeTag>);
+
+//! Set the assembler
+SET_TYPE_PROP(MixedDimension, JacobianAssembler, MixedDimensionAssembler<TypeTag>);
+
+//! Set the BaseModel to MixedDimensionModel
+SET_TYPE_PROP(MixedDimension, Model, MixedDimensionModel<TypeTag>);
+
+//! The local jacobian operators
+SET_TYPE_PROP(MixedDimension, BulkLocalJacobian, BulkLocalJacobian<TypeTag>);
+SET_TYPE_PROP(MixedDimension, LowDimLocalJacobian, LowDimLocalJacobian<TypeTag>);
+
+//! use forward differences to calculate the jacobian by default
+SET_INT_PROP(MixedDimension, ImplicitNumericDifferenceMethod, +1);
+
+//! default property value for the time manager
+SET_TYPE_PROP(MixedDimension, TimeManager, TimeManager<TypeTag>);
+
+//! default property is monolithic solver
+SET_BOOL_PROP(MixedDimension, MixedDimensionUseIterativeSolver, false);
+
+//! default property value for the solution vector only used for monolithic solver
+SET_PROP(MixedDimension, SolutionVector)
+{
+private:
+ typedef typename GET_PROP_TYPE(TypeTag, BulkProblemTypeTag) BulkProblemTypeTag;
+ typedef typename GET_PROP_TYPE(TypeTag, LowDimProblemTypeTag) LowDimProblemTypeTag;
+ typedef typename GET_PROP_TYPE(BulkProblemTypeTag, SolutionVector) SolutionVectorBulk;
+ typedef typename GET_PROP_TYPE(LowDimProblemTypeTag, SolutionVector) SolutionVectorLowDim;
+public:
+ typedef typename Dune::MultiTypeBlockVector<SolutionVectorBulk, SolutionVectorLowDim> type;
+};
+
+//! Set the type of a global jacobian matrix from the solution types
+SET_PROP(MixedDimension, JacobianMatrix)
+{
+private:
+ typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+ typedef typename GET_PROP_TYPE(TypeTag, BulkProblemTypeTag) BulkProblemTypeTag;
+ typedef typename GET_PROP_TYPE(TypeTag, LowDimProblemTypeTag) LowDimProblemTypeTag;
+ enum {
+ numEqBulk = GET_PROP_VALUE(BulkProblemTypeTag, NumEq),
+ numEqLowDim = GET_PROP_VALUE(LowDimProblemTypeTag, NumEq)
+ };
+
+public:
+ // the sub-blocks
+ typedef typename Dune::FieldMatrix<Scalar, numEqBulk, numEqBulk> MatrixLittleBlockBulk;
+ typedef typename Dune::FieldMatrix<Scalar, numEqBulk, numEqLowDim> MatrixLittleBlockBulkCoupling;
+ typedef typename Dune::FieldMatrix<Scalar, numEqLowDim, numEqLowDim> MatrixLittleBlockLowDim;
+ typedef typename Dune::FieldMatrix<Scalar, numEqLowDim, numEqBulk> MatrixLittleBlockLowDimCoupling;
+
+ // the BCRS matrices of the subproblems as big blocks
+ typedef typename Dune::BCRSMatrix<MatrixLittleBlockBulk> MatrixBlockBulk;
+ typedef typename Dune::BCRSMatrix<MatrixLittleBlockBulkCoupling> MatrixBlockBulkCoupling;
+ typedef typename Dune::BCRSMatrix<MatrixLittleBlockLowDim> MatrixBlockLowDim;
+ typedef typename Dune::BCRSMatrix<MatrixLittleBlockLowDimCoupling> MatrixBlockLowDimCoupling;
+
+ // the row types
+ typedef typename Dune::MultiTypeBlockVector<MatrixBlockBulk, MatrixBlockBulkCoupling> RowBulk;
+ typedef typename Dune::MultiTypeBlockVector<MatrixBlockLowDimCoupling, MatrixBlockLowDim> RowLowDim;
+
+ // the jacobian matrix
+ typedef typename Dune::MultiTypeBlockMatrix<RowBulk, RowLowDim> type;
+};
+
+//! Definition of the indices of the subproblems in the global solution vector
+SET_PROP(MixedDimension, SubProblemBlockIndices)
+{
+ using BulkIdx = Dune::index_constant<0>;
+ using LowDimIdx = Dune::index_constant<1>;
+};
+
+//! set default solver
+SET_TYPE_PROP(MixedDimension, LinearSolver, GSBiCGSTABBackend<TypeTag>);
+
+//! set the block level to 2, suitable for e.g. the Dune::MultiTypeBlockMatrix
+SET_INT_PROP(MixedDimension, LinearSolverPreconditionerBlockLevel, 2);
+
+//! if the deflection of the newton method is large, we do not
+//! need to solve the linear approximation accurately. Assuming
+//! that the initial value for the delta vector u is quite
+//! close to the final value, a reduction of 6 orders of
+//! magnitude in the defect should be sufficient...
+SET_SCALAR_PROP(MixedDimension, LinearSolverResidualReduction, 1e-6);
+
+//! set the default number of maximum iterations for the linear solver
+SET_INT_PROP(MixedDimension, LinearSolverMaxIterations, 250);
+
+//! set number of equations of the mathematical model as default
+SET_INT_PROP(MixedDimension, LinearSolverBlockSize, 1);
+
+//! set number of maximum timestep divisions to 10
+SET_INT_PROP(MixedDimension, ImplicitMaxTimeStepDivisions, 10);
+
+}//end namespace Properties
+
+}//end namespace Dumux
+
+#endif
diff --git a/dumux/mixeddimension/subproblemlocaljacobian.hh b/dumux/mixeddimension/subproblemlocaljacobian.hh
new file mode 100644
index 0000000000000000000000000000000000000000..605be0a6a62fcadc2969e7b0084ca537c25720b5
--- /dev/null
+++ b/dumux/mixeddimension/subproblemlocaljacobian.hh
@@ -0,0 +1,340 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ * See the file COPYING for full copying permissions. *
+ * *
+ * This program is free software: you can redistribute it and/or modify *
+ * it under the terms of the GNU General Public License as published by *
+ * the Free Software Foundation, either version 2 of the License, or *
+ * (at your option) any later version. *
+ * *
+ * This program is distributed in the hope that it will be useful, *
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of *
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
+ * GNU General Public License for more details. *
+ * *
+ * You should have received a copy of the GNU General Public License *
+ * along with this program. If not, see <http://www.gnu.org/licenses/>. *
+ *****************************************************************************/
+/*!
+ * \file
+ * \ingroup MixedDimension
+ * \brief Caculates the Jacobian of the local residual for fully-implicit models
+ */
+#ifndef DUMUX_SUBPROBLEM_LOCAL_JACOBIAN_HH
+#define DUMUX_SUBPROBLEM_LOCAL_JACOBIAN_HH
+
+#include <dune/common/indices.hh>
+#include <dune/istl/matrix.hh>
+
+#include <dumux/common/math.hh>
+#include <dumux/common/valgrind.hh>
+
+#include <dumux/mixeddimension/properties.hh>
+
+namespace Dumux
+{
+
+namespace Properties
+{
+ // forward declaration of property tags
+ NEW_PROP_TAG(BulkProblemTypeTag);
+ NEW_PROP_TAG(LowDimProblemTypeTag);
+}
+
+
+template <class TypeTag, class SubProblemTypeTag>
+class SubProblemLocalJacobian;
+
+template<class TypeTag>
+using BulkLocalJacobian = SubProblemLocalJacobian<TypeTag, typename GET_PROP_TYPE(TypeTag, BulkProblemTypeTag)>;
+template<class TypeTag>
+using LowDimLocalJacobian = SubProblemLocalJacobian<TypeTag, typename GET_PROP_TYPE(TypeTag, LowDimProblemTypeTag)>;
+
+/*!
+ * \ingroup MixedDimension
+ * \brief Calculates the Jacobian of the local residual for one subdomain domain
+ *
+ * The default behavior is to use numeric differentiation, i.e.
+ * forward or backward differences (2nd order), or central
+ * differences (3rd order). The method used is determined by the
+ * "NumericDifferenceMethod" property:
+ *
+ * - if the value of this property is smaller than 0, backward
+ * differences are used, i.e.:
+ * \f[
+ \frac{\partial f(x)}{\partial x} \approx \frac{f(x) - f(x - \epsilon)}{\epsilon}
+ * \f]
+ *
+ * - if the value of this property is 0, central
+ * differences are used, i.e.:
+ * \f[
+ \frac{\partial f(x)}{\partial x} \approx \frac{f(x + \epsilon) - f(x - \epsilon)}{2 \epsilon}
+ * \f]
+ *
+ * - if the value of this property is larger than 0, forward
+ * differences are used, i.e.:
+ * \f[
+ \frac{\partial f(x)}{\partial x} \approx \frac{f(x + \epsilon) - f(x)}{\epsilon}
+ * \f]
+ *
+ * Here, \f$ f \f$ is the residual function for all equations, \f$x\f$
+ * is the value of a sub-control volume's primary variable at the
+ * evaluation point and \f$\epsilon\f$ is a small value larger than 0.
+ */
+template<class TypeTag, class SubProblemTypeTag>
+class SubProblemLocalJacobian : public GET_PROP_TYPE(SubProblemTypeTag, LocalJacobian)
+{
+ using ParentType = typename GET_PROP_TYPE(SubProblemTypeTag, LocalJacobian);
+ using Scalar = typename GET_PROP_TYPE(TypeTag, Scalar);
+ using GlobalProblem = typename GET_PROP_TYPE(TypeTag, Problem);
+
+ // types of the sub problem
+ using Problem = typename GET_PROP_TYPE(SubProblemTypeTag, Problem);
+ using FVElementGeometry = typename GET_PROP_TYPE(SubProblemTypeTag, FVElementGeometry);
+ using ElementSolutionVector = typename GET_PROP_TYPE(SubProblemTypeTag, ElementSolutionVector);
+ using PrimaryVariables = typename GET_PROP_TYPE(SubProblemTypeTag, PrimaryVariables);
+ using VolumeVariables = typename GET_PROP_TYPE(SubProblemTypeTag, VolumeVariables);
+ using ElementVolumeVariables = typename GET_PROP_TYPE(SubProblemTypeTag, ElementVolumeVariables);
+ using ElementFluxVariablesCache = typename GET_PROP_TYPE(SubProblemTypeTag, ElementFluxVariablesCache);
+ using ElementBoundaryTypes = typename GET_PROP_TYPE(SubProblemTypeTag, ElementBoundaryTypes);
+ using LocalResidual = typename GET_PROP_TYPE(SubProblemTypeTag, LocalResidual);
+ using GridView = typename GET_PROP_TYPE(SubProblemTypeTag, GridView);
+ using IndexType = typename GridView::IndexSet::IndexType;
+ using Element = typename GridView::template Codim<0>::Entity;
+ using SolutionVector = typename GET_PROP_TYPE(SubProblemTypeTag, SolutionVector);
+
+public:
+
+ // copying a local jacobian is not a good idea
+ SubProblemLocalJacobian(const SubProblemLocalJacobian &) = delete;
+
+ SubProblemLocalJacobian()
+ { numericDifferenceMethod_ = GET_PARAM_FROM_GROUP(TypeTag, int, Implicit, NumericDifferenceMethod); }
+
+ /*!
+ * \brief Initialize the local Jacobian object.
+ *
+ * At this point we can assume that everything has been allocated,
+ * although some objects may not yet be completely initialized.
+ *
+ * \param problem The problem which we want to simulate.
+ */
+ void init(GlobalProblem &globalProblem)
+ {
+ globalProblemPtr_ = &globalProblem;
+ ParentType::init(problem_());
+ }
+
+ /*!
+ * \brief Assemble an element's local Jacobian matrix of the
+ * defect.
+ *
+ * \param element The DUNE Codim<0> entity which we look at.
+ */
+ template<class JacobianMatrix, class JacobianMatrixCoupling>
+ void assemble(const Element &element,
+ JacobianMatrix& matrix,
+ JacobianMatrixCoupling& couplingMatrix,
+ SolutionVector& residual)
+ {
+ const bool isGhost = (element.partitionType() == Dune::GhostEntity);
+
+ // prepare the volvars/fvGeometries in case caching is disabled
+ auto fvGeometry = localView(this->model_().globalFvGeometry());
+ fvGeometry.bind(element);
+
+ auto curElemVolVars = localView(this->model_().curGlobalVolVars());
+ curElemVolVars.bind(element, fvGeometry, this->model_().curSol());
+
+ auto prevElemVolVars = localView(this->model_().prevGlobalVolVars());
+ prevElemVolVars.bindElement(element, fvGeometry, this->model_().prevSol());
+
+ auto elemFluxVarsCache = localView(this->model_().globalFluxVarsCache());
+ elemFluxVarsCache.bind(element, fvGeometry, curElemVolVars);
+
+ // set the actual dof index
+ this->globalI_ = this->problem_().elementMapper().index(element);
+
+ // check for boundaries on the element
+ ElementBoundaryTypes elemBcTypes;
+ elemBcTypes.update(this->problem_(), element, fvGeometry);
+
+ // Evaluate the undeflected element local residual
+ this->localResidual().eval(element,
+ fvGeometry,
+ prevElemVolVars,
+ curElemVolVars,
+ elemBcTypes,
+ elemFluxVarsCache);
+ this->residual_ = this->localResidual().residual();
+
+ // set the global residual
+ residual[this->globalI_] = this->localResidual().residual(0);
+
+ // calculate derivatives of all dofs in stencil with respect to the dofs in the element
+ this->evalPartialDerivatives_(element,
+ fvGeometry,
+ prevElemVolVars,
+ curElemVolVars,
+ elemFluxVarsCache,
+ elemBcTypes,
+ matrix,
+ residual,
+ isGhost);
+
+ // compute derivatives with respect to additional user defined DOF dependencies
+ const auto& additionalDofDepedencies = this->problem_().getAdditionalDofDependencies(this->globalI_);
+ if (!additionalDofDepedencies.empty() && !isGhost)
+ {
+ this->evalAdditionalDerivatives_(additionalDofDepedencies,
+ element,
+ fvGeometry,
+ curElemVolVars,
+ matrix,
+ residual);
+ }
+
+ evalPartialDerivativeCoupling_(element,
+ fvGeometry,
+ curElemVolVars,
+ elemFluxVarsCache,
+ elemBcTypes,
+ couplingMatrix,
+ residual);
+ }
+
+protected:
+
+ /*!
+ * \brief Returns a reference to the problem.
+ */
+ const GlobalProblem &globalProblem_() const
+ { return *globalProblemPtr_; }
+
+ GlobalProblem &globalProblem_()
+ { return *globalProblemPtr_; }
+
+ //! Return this subproblem
+ template<class T = TypeTag>
+ // static_assert(std::is_same<typename GET_PROP_TYPE(TypeTag, BulkProblemTypeTag), SubProblemTypeTag>::value, "class name: " + className<typename GET_PROP_TYPE(TypeTag, BulkProblemTypeTag)>());
+ decltype(auto) problem_(typename std::enable_if<std::is_same<typename GET_PROP_TYPE(T, BulkProblemTypeTag), SubProblemTypeTag>::value, void>::type* x = nullptr)
+ { return globalProblem_().bulkProblem(); }
+
+ template<class T = TypeTag>
+ decltype(auto) problem_(typename std::enable_if<std::is_same<typename GET_PROP_TYPE(T, LowDimProblemTypeTag), SubProblemTypeTag>::value, void>::type* x = nullptr)
+ { return globalProblem_().lowDimProblem(); }
+
+ //! Return the other subproblem
+ template<class T = TypeTag>
+ decltype(auto) otherProblem_(typename std::enable_if<!std::is_same<typename GET_PROP_TYPE(T, BulkProblemTypeTag), SubProblemTypeTag>::value, void>::type* x = nullptr)
+ { return globalProblem_().bulkProblem(); }
+
+ template<class T = TypeTag>
+ decltype(auto) otherProblem_(typename std::enable_if<!std::is_same<typename GET_PROP_TYPE(T, LowDimProblemTypeTag), SubProblemTypeTag>::value, void>::type* x = nullptr)
+ { return globalProblem_().lowDimProblem(); }
+
+ template<class JacobianMatrixCoupling>
+ void evalPartialDerivativeCoupling_(const Element& element,
+ const FVElementGeometry& fvGeometry,
+ ElementVolumeVariables& curElemVolVars,
+ ElementFluxVariablesCache& elemFluxVarsCache,
+ const ElementBoundaryTypes& elemBcTypes,
+ JacobianMatrixCoupling& couplingMatrix,
+ SolutionVector& residual)
+ {
+ const auto& couplingStencil = globalProblem_().couplingManager().couplingStencil(element);
+
+ for (auto globalJ : couplingStencil)
+ {
+ const auto otherElement = otherProblem_().model().globalFvGeometry().element(globalJ);
+ const auto otherResidual = globalProblem_().couplingManager().evalCouplingResidual(element,
+ fvGeometry,
+ curElemVolVars,
+ elemBcTypes,
+ elemFluxVarsCache,
+ otherElement);
+
+ auto& otherPriVars = otherProblem_().model().curSol()[globalJ];
+ auto originalOtherPriVars = otherPriVars;
+
+ // derivatives in the neighbors with repect to the current elements
+ PrimaryVariables partialDeriv;
+ for (int pvIdx = 0; pvIdx < partialDeriv.size(); pvIdx++)
+ {
+ const Scalar eps = this->numericEpsilon(otherPriVars[pvIdx]);
+ Scalar delta = 0;
+
+ if (numericDifferenceMethod_ >= 0)
+ {
+ // we are not using backward differences, i.e. we need to
+ // calculate f(x + \epsilon)
+
+ // deflect primary variables
+ otherPriVars[pvIdx] += eps;
+ delta += eps;
+
+ // calculate the residual with the deflected primary variables
+ partialDeriv = globalProblem_().couplingManager().evalCouplingResidual(element,
+ fvGeometry,
+ curElemVolVars,
+ elemBcTypes,
+ elemFluxVarsCache,
+ otherElement);
+ }
+ else
+ {
+ // we are using backward differences, i.e. we don't need
+ // to calculate f(x + \epsilon) and we can recycle the
+ // (already calculated) residual f(x)
+ partialDeriv = otherResidual;
+ }
+
+
+ if (numericDifferenceMethod_ <= 0)
+ {
+ // we are not using forward differences, i.e. we
+ // need to calculate f(x - \epsilon)
+
+ // deflect the primary variables
+ otherPriVars[pvIdx] -= 2*eps;
+ delta += eps;
+
+ // calculate the residual with the deflected primary variables
+ partialDeriv -= globalProblem_().couplingManager().evalCouplingResidual(element,
+ fvGeometry,
+ curElemVolVars,
+ elemBcTypes,
+ elemFluxVarsCache,
+ otherElement);
+ }
+ else
+ {
+ // we are using forward differences, i.e. we don't need to
+ // calculate f(x - \epsilon) and we can recycle the
+ // (already calculated) residual f(x)
+ partialDeriv -= otherResidual;
+ }
+
+ // divide difference in residuals by the magnitude of the
+ // deflections between the two function evaluation
+ partialDeriv /= delta;
+
+ // restore the original state of the element solution vector
+ otherPriVars = originalOtherPriVars;
+
+ // update the global jacobian matrix (coupling block)
+ this->updateGlobalJacobian_(couplingMatrix, this->globalI_, globalJ, pvIdx, partialDeriv);
+ }
+ }
+ }
+
+ // The problem we would like to solve
+ GlobalProblem *globalProblemPtr_;
+ // The type of the numeric difference method (forward, center, backward)
+ int numericDifferenceMethod_;
+};
+
+} // end namespace Dumux
+
+#endif
diff --git a/dumux/mixeddimension/subproblemproperties.hh b/dumux/mixeddimension/subproblemproperties.hh
new file mode 100644
index 0000000000000000000000000000000000000000..9a9e7dde3727b005485f88480e3dafe31f6398fa
--- /dev/null
+++ b/dumux/mixeddimension/subproblemproperties.hh
@@ -0,0 +1,38 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ * See the file COPYING for full copying permissions. *
+ * *
+ * This program is free software: you can redistribute it and/or modify *
+ * it under the terms of the GNU General Public License as published by *
+ * the Free Software Foundation, either version 2 of the License, or *
+ * (at your option) any later version. *
+ * *
+ * This program is distributed in the hope that it will be useful, *
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of *
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
+ * GNU General Public License for more details. *
+ * *
+ * You should have received a copy of the GNU General Public License *
+ * along with this program. If not, see <http://www.gnu.org/licenses/>. *
+ *****************************************************************************/
+/*!
+ * \file
+ * \ingroup MixedDimension
+ * \brief Base class for subproblems of coupled problems
+ */
+#ifndef DUMUX_SUB_PROBLEM_PROPERTIES_HH
+#define DUMUX_SUB_PROBLEM_PROPERTIES_HH
+
+#include <dumux/common/propertysystem.hh>
+
+namespace Dumux
+{
+namespace Properties
+{
+ //! The type of the coupling manager
+ NEW_PROP_TAG(GlobalProblemTypeTag);
+ NEW_PROP_TAG(CouplingManager);
+}
+}
+#endif
diff --git a/test/CMakeLists.txt b/test/CMakeLists.txt
index d3206b905d6adf7910e7ff823f8c0cb96da96b0e..fd9350c01fa87ea13aa70fc72c2cc2438e62a926 100644
--- a/test/CMakeLists.txt
+++ b/test/CMakeLists.txt
@@ -3,6 +3,7 @@ add_subdirectory("freeflow")
add_subdirectory("geomechanics")
add_subdirectory("io")
add_subdirectory("material")
+add_subdirectory("mixeddimension")
add_subdirectory("multidomain")
add_subdirectory("porousmediumflow")
add_subdirectory("discretization")
diff --git a/test/mixeddimension/CMakeLists.txt b/test/mixeddimension/CMakeLists.txt
new file mode 100644
index 0000000000000000000000000000000000000000..4137ed5f234e80231fe3bf67abd88be5c903361c
--- /dev/null
+++ b/test/mixeddimension/CMakeLists.txt
@@ -0,0 +1 @@
+add_subdirectory("embedded")
diff --git a/test/mixeddimension/embedded/1p_1p/1d3dtestproblem.hh b/test/mixeddimension/embedded/1p_1p/1d3dtestproblem.hh
new file mode 100644
index 0000000000000000000000000000000000000000..752c4b21bda960ff8c5de772f821c6f7891f16fb
--- /dev/null
+++ b/test/mixeddimension/embedded/1p_1p/1d3dtestproblem.hh
@@ -0,0 +1,256 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ * See the file COPYING for full copying permissions. *
+ * *
+ * This program is free software: you can redistribute it and/or modify *
+ * it under the terms of the GNU General Public License as published by *
+ * the Free Software Foundation, either version 2 of the License, or *
+ * (at your option) any later version. *
+ * *
+ * This program is distributed in the hope that it will be useful, *
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of *
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
+ * GNU General Public License for more details. *
+ * *
+ * You should have received a copy of the GNU General Public License *
+ * along with this program. If not, see <http://www.gnu.org/licenses/>. *
+ *****************************************************************************/
+/*!
+ * \file
+ *
+ * \brief A test problem for the 1d3d coupled problem:
+ * a one-dimensional network is embedded in a three-dimensional matrix
+ * Comparison with anaytical solutiom (see D'Angelo 2007 PhD thesis)
+ */
+#ifndef DUMUX_1D3D_TEST_PROBLEM_HH
+#define DUMUX_1D3D_TEST_PROBLEM_HH
+
+#include "bloodflowproblem.hh"
+#include "tissueproblem.hh"
+
+#include <dumux/mixeddimension/problem.hh>
+#include <dumux/mixeddimension/embedded/cellcentered/bboxtreecouplingmanager.hh>
+//#include <dumux/mixeddimension/embedded/cellcentered/bboxtreecouplingmanagersimple.hh>
+#include <dumux/mixeddimension/integrationpointsource.hh>
+
+namespace Dumux
+{
+template <class TypeTag>
+class TestOneDThreeDProblem;
+
+namespace Properties
+{
+NEW_TYPE_TAG(TestOneDThreeDProblem, INHERITS_FROM(MixedDimension));
+NEW_TYPE_TAG(TestOneDThreeDCCProblem, INHERITS_FROM(TestOneDThreeDProblem));
+
+// Set the problem property
+SET_TYPE_PROP(TestOneDThreeDProblem, Problem, Dumux::TestOneDThreeDProblem<TypeTag>);
+
+// Set the coupling manager
+//SET_TYPE_PROP(TestOneDThreeDCCProblem, CouplingManager, Dumux::CCBBoxTreeEmbeddedCouplingManagerSimple<TypeTag>);
+SET_TYPE_PROP(TestOneDThreeDCCProblem, CouplingManager, Dumux::CCBBoxTreeEmbeddedCouplingManager<TypeTag>);
+////////////////////////////////////////////////////////////////////////////
+// Set the two sub-problems of the global problem
+SET_TYPE_PROP(TestOneDThreeDCCProblem, LowDimProblemTypeTag, TTAG(BloodFlowCCProblem));
+SET_TYPE_PROP(TestOneDThreeDCCProblem, BulkProblemTypeTag, TTAG(TissueCCProblem));
+////////////////////////////////////////////////////////////////////////////
+
+// publish this problem in the sub problems
+SET_TYPE_PROP(BloodFlowCCProblem, GlobalProblemTypeTag, TTAG(TestOneDThreeDCCProblem));
+SET_TYPE_PROP(TissueCCProblem, GlobalProblemTypeTag, TTAG(TestOneDThreeDCCProblem));
+
+// The subproblems inherit the parameter tree from this problem
+SET_PROP(BloodFlowCCProblem, ParameterTree) : GET_PROP(TTAG(TestOneDThreeDCCProblem), ParameterTree) {};
+SET_PROP(TissueCCProblem, ParameterTree) : GET_PROP(TTAG(TestOneDThreeDCCProblem), ParameterTree) {};
+
+// Set the point source type of the subproblems to an id'ed point source
+SET_TYPE_PROP(BloodFlowCCProblem, PointSource, Dumux::IntegrationPointSource<TTAG(BloodFlowCCProblem), unsigned int>);
+SET_TYPE_PROP(BloodFlowCCProblem, PointSourceHelper, Dumux::IntegrationPointSourceHelper<TTAG(BloodFlowCCProblem)>);
+SET_TYPE_PROP(TissueCCProblem, PointSource, Dumux::IntegrationPointSource<TTAG(TissueCCProblem), unsigned int>);
+SET_TYPE_PROP(TissueCCProblem, PointSourceHelper, Dumux::IntegrationPointSourceHelper<TTAG(TissueCCProblem)>);
+
+SET_TYPE_PROP(TestOneDThreeDProblem, LinearSolver, ILU0BiCGSTABBackend<TypeTag>);
+
+}//end namespace properties
+
+template <class TypeTag>
+class TestOneDThreeDProblem : public MixedDimensionProblem<TypeTag>
+{
+ using ParentType = MixedDimensionProblem<TypeTag>;
+ using TimeManager = typename GET_PROP_TYPE(TypeTag, TimeManager);
+ using Scalar = typename GET_PROP_TYPE(TypeTag, Scalar);
+
+ // obtain the type tags of the sub problems
+ using BulkProblemTypeTag = typename GET_PROP_TYPE(TypeTag, BulkProblemTypeTag);
+ using LowDimProblemTypeTag = typename GET_PROP_TYPE(TypeTag, LowDimProblemTypeTag);
+
+ // obtain types from the sub problem type tags
+ using BulkProblem = typename GET_PROP_TYPE(BulkProblemTypeTag, Problem);
+ using LowDimProblem = typename GET_PROP_TYPE(LowDimProblemTypeTag, Problem);
+
+ using BulkGridView = typename GET_PROP_TYPE(BulkProblemTypeTag, GridView);
+ using LowDimGridView = typename GET_PROP_TYPE(LowDimProblemTypeTag, GridView);
+
+ enum { bulkIsBox = GET_PROP_VALUE(BulkProblemTypeTag, ImplicitIsBox) };
+ enum { lowDimIsBox = GET_PROP_VALUE(LowDimProblemTypeTag, ImplicitIsBox) };
+
+public:
+ TestOneDThreeDProblem(TimeManager &timeManager, const BulkGridView &bulkGridView, const LowDimGridView &lowDimgridView)
+ : ParentType(timeManager, bulkGridView, lowDimgridView)
+ {
+ order_ = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, int, Problem, NormIntegrationOrder);
+ excludeInnerBulk_ = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, bool, Problem, NormExcludeInnerBulk);
+ }
+
+ /*!
+ * \brief Called by Dumux::TimeManager in order to do a time
+ * integration on the model. Iterative algorithm for one time step.
+ */
+ void timeIntegration()
+ {
+ ParentType::timeIntegration();
+
+ // compute the L2-norm with respect to the analytical solution
+ // discrete l2-norm for finite volumes
+ auto norm1D = this->calculateNorm(this->lowDimProblem(), this->lowDimGridView(), order_, lowDimIsBox);
+ auto norm3D = this->calculateNorm(this->bulkProblem(), this->bulkGridView(), order_, bulkIsBox);
+ // normalize the norm
+ norm1D.first /= this->calculateNormExactSolution(this->lowDimProblem(), this->lowDimGridView(), order_, lowDimIsBox);
+ norm3D.first /= this->calculateNormExactSolution(this->bulkProblem(), this->bulkGridView(), order_, bulkIsBox);
+
+ // ouput result to terminal
+ std::cout << "hmax_3d: " << norm3D.second << " "
+ << "hmax_1d: " << norm1D.second << " "
+ << "L2_3d: " << norm3D.first << " "
+ << "L2_1d: " << norm1D.first << std::endl;
+
+ // ... and file.
+ file_.open(this->name() + ".log", std::ios::app);
+ file_ << norm3D.second << " " << norm1D.second << " " << norm3D.first << " " << norm1D.first << "\n";
+ file_.close();
+ }
+
+ //! Calculate the L2-Norm of the solution and hmax of the grid
+ template<class SubProblem, class GridView>
+ std::pair<Scalar, Scalar> calculateNorm(const SubProblem &sp, const GridView &gv, int order, bool isBox)
+ {
+ typename Dune::PQkLocalFiniteElementCache<Scalar, Scalar, GridView::dimension, 1> feCache;
+
+ // calculate the L2-Norm and hmax
+ const auto& solution = sp.model().curSol();
+ Scalar LTwoNorm = 0.0;
+ Scalar hMax = 0.0;
+
+ // iterate over all elements
+ for (const auto& element : elements(gv))
+ {
+ const unsigned int eIdx = gv.indexSet().index(element);
+ const auto geometry = element.geometry();
+ const auto center = geometry.center();
+ if (int(GridView::dimension) == 3 && excludeInnerBulk_ &&
+ std::sqrt(center[0]*center[0] + center[1]*center[1]) < GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, SpatialParams, Radius) + 0.01)
+ continue;
+ hMax = std::max(geometryDiameter(geometry), hMax);
+
+ typedef Dune::QuadratureRule<Scalar, GridView::dimension> Quad;
+ const Quad &quad = Dune::QuadratureRules<Scalar, GridView::dimension>::rule(geometry.type(), order);
+ for(auto&& qp : quad)
+ {
+ const auto globalPos = geometry.global(qp.position());
+ const Scalar pe = sp.exactSolution(globalPos);
+ Scalar p(0.0);
+ if(!isBox)
+ p = solution[eIdx][0];
+ else
+ {
+ // do interpolation with ansatz functions
+ std::vector<Dune::FieldVector<Scalar,1> > shapeValues;
+ const auto& localFiniteElement = feCache.get(geometry.type());
+ localFiniteElement.localBasis().evaluateFunction(qp.position(), shapeValues);
+ for (int vIdx = 0; vIdx < shapeValues.size(); ++vIdx)
+ p += shapeValues[vIdx]*solution[sp.model().dofMapper().subIndex(element, vIdx, GridView::dimension)][0];
+ }
+
+ LTwoNorm += (p - pe)*(p - pe)*qp.weight()*geometry.integrationElement(qp.position());
+ }
+ }
+ return std::make_pair(std::sqrt(LTwoNorm), hMax);
+ }
+
+ template<class SubProblem, class GridView>
+ Scalar calculateNormExactSolution(const SubProblem &sp, const GridView &gv, int order, bool isBox)
+ {
+ // calculate the L2-Norm
+ Scalar LTwoNorm = 0.0;
+
+ // iterate over all elements
+ for (const auto& element : elements(gv))
+ {
+ const auto geometry = element.geometry();
+ const auto center = geometry.center();
+ if (int(GridView::dimension) == 3 && excludeInnerBulk_ &&
+ std::sqrt(center[0]*center[0] + center[1]*center[1]) < GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, SpatialParams, Radius))
+ continue;
+ typedef Dune::QuadratureRule<Scalar, GridView::dimension> Quad;
+ const Quad &quad = Dune::QuadratureRules<Scalar, GridView::dimension>::rule(geometry.type(), order);
+ for(auto&& qp : quad)
+ {
+ const auto globalPos = geometry.global(qp.position());
+ const Scalar pe = sp.exactSolution(globalPos);
+ LTwoNorm += pe*pe*qp.weight()*geometry.integrationElement(qp.position());
+ }
+ }
+ return std::sqrt(LTwoNorm);
+ }
+
+ template<class Geometry>
+ Scalar geometryDiameter(const Geometry& geometry)
+ {
+ auto type = geometry.type();
+ if(type.isLine())
+ {
+ return (geometry.corner(0)-geometry.corner(1)).two_norm();
+ }
+ else if(type.isHexahedron())
+ {
+ return (geometry.corner(0)-geometry.corner(1)).two_norm();
+ }
+ else if(type.isTetrahedron())
+ {
+ const auto p0 = geometry.corner(0);
+ const auto p1 = geometry.corner(1);
+ const auto p2 = geometry.corner(2);
+ const auto p3 = geometry.corner(3);
+
+ // Compute side length
+ const auto a = (p1-p2).two_norm();
+ const auto b = (p0-p2).two_norm();
+ const auto c = (p0-p1).two_norm();
+ const auto aa = (p0-p3).two_norm();
+ const auto bb = (p1-p3).two_norm();
+ const auto cc = (p2-p3).two_norm();
+
+ // compute some helper variables
+ const auto la = a*aa;
+ const auto lb = b*bb;
+ const auto lc = c*cc;
+ const auto s = 0.5*(la+lb+lc);
+ const auto area = std::sqrt(s*(s-la)*(s-lb)*(s-lc));
+ return area/(3.0*geometry.volume());
+ }
+ else
+ {
+ DUNE_THROW(Dune::NotImplemented, "Diameter for geometry " << type << ".");
+ }
+ }
+
+private:
+ std::ofstream file_;
+ int order_;
+ bool excludeInnerBulk_;
+};
+
+} //end namespace Dumux
+
+#endif
diff --git a/test/mixeddimension/embedded/1p_1p/CMakeLists.txt b/test/mixeddimension/embedded/1p_1p/CMakeLists.txt
new file mode 100644
index 0000000000000000000000000000000000000000..6ed85ea447d857f68f89d2c5c24a29dab3f8e8de
--- /dev/null
+++ b/test/mixeddimension/embedded/1p_1p/CMakeLists.txt
@@ -0,0 +1,3 @@
+dune_add_test(SOURCES test_1p_1p.cc)
+dune_symlink_to_source_files(FILES "grids" "test_1p_1p.input")
+set(CMAKE_BUILD_TYPE Release)
diff --git a/test/mixeddimension/embedded/1p_1p/bloodflowproblem.hh b/test/mixeddimension/embedded/1p_1p/bloodflowproblem.hh
new file mode 100644
index 0000000000000000000000000000000000000000..e352ca10da9964fd63a7f7dd71796ff5badf3928
--- /dev/null
+++ b/test/mixeddimension/embedded/1p_1p/bloodflowproblem.hh
@@ -0,0 +1,359 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ * See the file COPYING for full copying permissions. *
+ * *
+ * This program is free software: you can redistribute it and/or modify *
+ * it under the terms of the GNU General Public License as published by *
+ * the Free Software Foundation, either version 2 of the License, or *
+ * (at your option) any later version. *
+ * *
+ * This program is distributed in the hope that it will be useful, *
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of *
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
+ * GNU General Public License for more details. *
+ * *
+ * You should have received a copy of the GNU General Public License *
+ * along with this program. If not, see <http://www.gnu.org/licenses/>. *
+ *****************************************************************************/
+/*!
+ * \file
+ *
+ * \brief A test problem for the one-phase blood flow model:
+ * Blood is flowing through a 1d network grid.
+ */
+#ifndef DUMUX_BLOOD_FLOW_PROBLEM_HH
+#define DUMUX_BLOOD_FLOW_PROBLEM_HH
+
+#include <dune/geometry/quadraturerules.hh>
+#include <dune/geometry/referenceelements.hh>
+#include <dune/localfunctions/lagrange/pqkfactory.hh>
+
+#include <dumux/implicit/cellcentered/tpfa/properties.hh>
+#include <dumux/porousmediumflow/1p/implicit/model.hh>
+#include <dumux/porousmediumflow/implicit/problem.hh>
+#include <dumux/material/components/constant.hh>
+#include <dumux/material/fluidsystems/liquidphase.hh>
+#include <dumux/linear/seqsolverbackend.hh>
+#include <dumux/mixeddimension/subproblemproperties.hh>
+#include "bloodflowspatialparams.hh"
+
+namespace Dumux
+{
+template <class TypeTag>
+class BloodFlowProblem;
+
+namespace Properties
+{
+NEW_TYPE_TAG(BloodFlowProblem, INHERITS_FROM(OneP));
+NEW_TYPE_TAG(BloodFlowCCProblem, INHERITS_FROM(CCTpfaModel, BloodFlowProblem));
+
+// Set the grid type
+SET_TYPE_PROP(BloodFlowProblem, Grid, Dune::FoamGrid<1, 3>);
+
+// Set the grid parameter group
+SET_STRING_PROP(BloodFlowProblem, GridParameterGroup, "VesselGrid");
+
+// Set the problem property
+SET_TYPE_PROP(BloodFlowProblem, Problem, BloodFlowProblem<TypeTag>);
+
+SET_PROP(BloodFlowProblem, Fluid)
+{
+private:
+ using Scalar = typename GET_PROP_TYPE(TypeTag, Scalar);
+public:
+ using type = FluidSystems::LiquidPhase<Scalar, Constant<TypeTag, Scalar>>;
+};
+
+// Set the spatial parameters
+SET_TYPE_PROP(BloodFlowProblem, SpatialParams, BloodFlowSpatialParams<TypeTag>);
+
+// evaluate analytical permeability field at scvf center
+SET_BOOL_PROP(BloodFlowProblem, EvaluatePermeabilityAtScvfCenter, true);
+
+// disable gravity
+SET_BOOL_PROP(BloodFlowProblem, ProblemEnableGravity, false);
+
+}
+
+/*!
+ * \ingroup OneDStokes
+ * \ingroup ImplicitTestProblems
+ * \brief Exact solution 1D-3D
+ */
+template <class TypeTag>
+class BloodFlowProblem : public ImplicitPorousMediaProblem<TypeTag>
+{
+ using ParentType = ImplicitPorousMediaProblem<TypeTag>;
+ using GridView = typename GET_PROP_TYPE(TypeTag, GridView);
+ using Scalar = typename GET_PROP_TYPE(TypeTag, Scalar);
+ using ElementVolumeVariables = typename GET_PROP_TYPE(TypeTag, ElementVolumeVariables);
+ using PointSource = typename GET_PROP_TYPE(TypeTag, PointSource);
+ using Indices = typename GET_PROP_TYPE(TypeTag, Indices);
+ // copy some indices for convenience
+ enum {
+ // Grid and world dimension
+ dim = GridView::dimension,
+ dimworld = GridView::dimensionworld
+ };
+ enum {
+ // indices of the primary variables
+ conti0EqIdx = Indices::conti0EqIdx,
+ pressureIdx = Indices::pressureIdx
+ };
+ enum { isBox = GET_PROP_VALUE(TypeTag, ImplicitIsBox) };
+ enum { dofCodim = isBox ? dim : 0 };
+
+ using PrimaryVariables = typename GET_PROP_TYPE(TypeTag, PrimaryVariables);
+ using BoundaryTypes = typename GET_PROP_TYPE(TypeTag, BoundaryTypes);
+ using TimeManager = typename GET_PROP_TYPE(TypeTag, TimeManager);
+ using FVElementGeometry = typename GET_PROP_TYPE(TypeTag, FVElementGeometry);
+ using SubControlVolume = typename GET_PROP_TYPE(TypeTag, SubControlVolume);
+ using ElementSolutionVector = typename GET_PROP_TYPE(TypeTag, ElementSolutionVector);
+ using Element = typename GridView::template Codim<0>::Entity;
+ using GlobalPosition = Dune::FieldVector<Scalar, dimworld>;
+
+ using GlobalProblemTypeTag = typename GET_PROP_TYPE(TypeTag, GlobalProblemTypeTag);
+ using CouplingManager = typename GET_PROP_TYPE(GlobalProblemTypeTag, CouplingManager);
+
+public:
+ BloodFlowProblem(TimeManager &timeManager, const GridView &gridView)
+ : ParentType(timeManager, gridView)
+ {
+ //read parameters from input file
+ name_ = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, std::string, Problem, Name) + "_1d";
+ p_in_ = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, BoundaryConditions1D, PressureInput);
+ delta_p_ = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, BoundaryConditions1D, DeltaPressure);
+ }
+
+ /*!
+ * \brief Called by the TimeManager in order to
+ * initialize the problem.
+ */
+ void init()
+ {
+ ParentType::init();
+ exactPressure_.resize(this->model().numDofs());
+ for (const auto& element : elements(this->gridView()))
+ {
+ auto fvGeometry = localView(this->model().globalFvGeometry());
+ fvGeometry.bindElement(element);
+
+ for (auto&& scv : scvs(fvGeometry))
+ exactPressure_[scv.dofIndex()] = exactSolution(scv.dofPosition());
+ }
+ }
+
+ /*!
+ * \brief Return how much the domain is extruded at a given sub-control volume.
+ *
+ * The extrusion factor here makes extrudes the 1d line to a circular tube with
+ * cross-section area pi*r^2.
+ */
+ Scalar extrusionFactor(const Element &element,
+ const SubControlVolume &scv,
+ const ElementSolutionVector& elemSol) const
+ {
+ const auto eIdx = this->elementMapper().index(element);
+ const auto radius = this->spatialParams().radius(eIdx);
+ return M_PI*radius*radius;
+ }
+
+ /*!
+ * \brief Returns true if a restart file should be written to disk.
+ */
+ bool shouldWriteRestartFile() const
+ { return false; }
+
+ /*!
+ * \name Problem parameters
+ */
+ // \{
+
+ /*!
+ * \brief The problem name.
+ *
+ * This is used as a prefix for files generated by the simulation.
+ */
+ const std::string& name() const
+ { return name_; }
+
+ /*!
+ * \brief Return the temperature within the domain in [K].
+ *
+ */
+ Scalar temperature() const
+ { return 273.15 + 37.0; } // Body temperature
+
+ // \}
+ /*!
+ * \name Boundary conditions
+ */
+ // \{
+
+ /*!
+ * \brief Specifies which kind of boundary condition should be
+ * used for which equation on a given boundary segment.
+ *
+ * \param globalPos The global position
+ */
+ BoundaryTypes boundaryTypesAtPos(const GlobalPosition &globalPos) const
+ {
+ BoundaryTypes values;
+ values.setAllDirichlet();
+ return values;
+ }
+
+ /*!
+ * \brief Evaluate the boundary conditions for a dirichlet
+ * control volume.
+ *
+ * \param globalPos The global position
+ *
+ * For this method, the \a values parameter stores primary variables.
+ */
+ PrimaryVariables dirichletAtPos(const GlobalPosition& globalPos) const
+ {
+ PrimaryVariables values;
+ if(globalPos[2] > 0.5)
+ values[pressureIdx] = p_in_;
+ else
+ values[pressureIdx] = p_in_-delta_p_;
+ return values;
+ }
+
+
+ // \}
+
+ /*!
+ * \name Volume terms
+ */
+ // \{
+
+ /*!
+ * \brief Applies a vector of point sources. The point sources
+ * are possibly solution dependent.
+ *
+ * \param pointSources A vector of PointSource s that contain
+ source values for all phases and space positions.
+ *
+ * For this method, the \a values method of the point source
+ * has to return the absolute mass rate in kg/s. Positive values mean
+ * that mass is created, negative ones mean that it vanishes.
+ */
+ void addPointSources(std::vector<PointSource>& pointSources) const
+ { pointSources = this->couplingManager().lowDimPointSources(); }
+
+ /*!
+ * \brief Evaluate the point sources (added by addPointSources)
+ * for all phases within a given sub-control-volume.
+ *
+ * This is the method for the case where the point source is
+ * solution dependent and requires some quantities that
+ * are specific to the fully-implicit method.
+ *
+ * \param pointSource A single point source
+ * \param element The finite element
+ * \param fvGeometry The finite-volume geometry
+ * \param elemVolVars All volume variables for the element
+ * \param scv The sub-control volume within the element
+ *
+ * For this method, the \a values() method of the point sources returns
+ * the absolute rate mass generated or annihilate in kg/s. Positive values mean
+ * that mass is created, negative ones mean that it vanishes.
+ */
+ void pointSource(PointSource& source,
+ const Element &element,
+ const FVElementGeometry& fvGeometry,
+ const ElementVolumeVariables& elemVolVars,
+ const SubControlVolume &scv) const
+ {
+ // compute source at every integration point
+ const auto bulkVolVars = this->couplingManager().bulkVolVars(source.id());
+ const Scalar pressure1D = this->couplingManager().lowDimPriVars(source.id())[pressureIdx];
+
+ // calculate the source
+ const Scalar radius = this->couplingManager().radius(source.id());
+ const Scalar beta = 2*M_PI/(2*M_PI + std::log(radius));
+ const Scalar sourceValue = beta*(bulkVolVars.pressure() - pressure1D)*bulkVolVars.density();
+
+ source = sourceValue*source.quadratureWeight()*source.integrationElement();
+ }
+
+ /*!
+ * \brief Evaluate the initial value for a control volume.
+ *
+ * For this method, the \a priVars parameter stores primary
+ * variables.
+ */
+ PrimaryVariables initialAtPos(const GlobalPosition &globalPos) const
+ { return PrimaryVariables(0.0); }
+
+ // \}
+
+ //! The exact pressure solution
+ Scalar exactSolution(const GlobalPosition &globalPos) const
+ { return 1 + globalPos[2]; }
+
+ //! Called after every time step
+ //! Output the total global exchange term
+ void postTimeStep()
+ {
+ ParentType::postTimeStep();
+
+ PrimaryVariables source(0.0);
+
+ if (!(this->timeManager().time() < 0.0))
+ {
+ for (const auto& element : elements(this->gridView()))
+ {
+ auto fvGeometry = localView(this->model().globalFvGeometry());
+ fvGeometry.bindElement(element);
+
+ auto elemVolVars = localView(this->model().curGlobalVolVars());
+ elemVolVars.bindElement(element, fvGeometry, this->model().curSol());
+
+ for (auto&& scv : scvs(fvGeometry))
+ {
+ auto pointSources = this->scvPointSources(element, fvGeometry, elemVolVars, scv);
+ pointSources *= scv.volume()*elemVolVars[scv].extrusionFactor();
+ source += pointSources;
+ }
+ }
+ }
+
+ std::cout << "Global integrated source (1D): " << source << '\n';
+ }
+
+ /*!
+ * \brief Adds additional VTK output data to the VTKWriter. Function is called by the output module on every write.
+ */
+ void addVtkOutputFields(VtkOutputModule<TypeTag>& outputModule) const
+ {
+ auto& p = outputModule.createScalarField("exact pressure", dofCodim);
+ p = exactPressure_;
+ }
+
+ //! Set the coupling manager
+ void setCouplingManager(std::shared_ptr<CouplingManager> cm)
+ { couplingManager_ = cm; }
+
+ //! Get the coupling manager
+ const CouplingManager& couplingManager() const
+ { return *couplingManager_; }
+
+private:
+ std::vector<Scalar> exactPressure_;
+
+ static constexpr Scalar eps_ = 1.5e-7;
+ std::string name_;
+
+ Scalar p_in_;
+ Scalar delta_p_;
+
+ std::shared_ptr<CouplingManager> couplingManager_;
+};
+
+} //end namespace Dumux
+
+#endif
diff --git a/test/mixeddimension/embedded/1p_1p/bloodflowspatialparams.hh b/test/mixeddimension/embedded/1p_1p/bloodflowspatialparams.hh
new file mode 100644
index 0000000000000000000000000000000000000000..fa255fe545daa43b62937ed08afbc2acd2ff38ed
--- /dev/null
+++ b/test/mixeddimension/embedded/1p_1p/bloodflowspatialparams.hh
@@ -0,0 +1,98 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ * See the file COPYING for full copying permissions. *
+ * *
+ * This program is free software: you can redistribute it and/or modify *
+ * it under the terms of the GNU General Public License as published by *
+ * the Free Software Foundation, either version 2 of the License, or *
+ * (at your option) any later version. *
+ * *
+ * This program is distributed in the hope that it will be useful, *
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of *
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
+ * GNU General Public License for more details. *
+ * *
+ * You should have received a copy of the GNU General Public License *
+ * along with this program. If not, see <http://www.gnu.org/licenses/>. *
+ *****************************************************************************/
+/*!
+ * \file
+ *
+ * \brief The spatial parameters class blood flow problem
+ */
+#ifndef DUMUX_BlOOD_FLOW_SPATIALPARAMS_HH
+#define DUMUX_BlOOD_FLOW_SPATIALPARAMS_HH
+
+#include <dumux/material/spatialparams/implicit1p.hh>
+
+namespace Dumux
+{
+
+/*!
+ * \ingroup OnePModel
+ * \ingroup ImplicitTestProblems
+ *
+ * \brief Definition of the spatial parameters for the blood flow problem
+ */
+template<class TypeTag>
+class BloodFlowSpatialParams: public ImplicitSpatialParamsOneP<TypeTag>
+{
+ using ParentType = ImplicitSpatialParamsOneP<TypeTag>;
+ using Problem = typename GET_PROP_TYPE(TypeTag, Problem);
+ using Scalar = typename GET_PROP_TYPE(TypeTag, Scalar);
+ using GridView = typename GET_PROP_TYPE(TypeTag, GridView);
+ using Element = typename GridView::template Codim<0>::Entity;
+ using SubControlVolume = typename GET_PROP_TYPE(TypeTag, SubControlVolume);
+ using ElementSolutionVector = typename GET_PROP_TYPE(TypeTag, ElementSolutionVector);
+ enum {
+ // Grid and world dimension
+ dim = GridView::dimension,
+ dimworld = GridView::dimensionworld
+ };
+ using GlobalPosition = Dune::FieldVector<Scalar, dimworld>;
+
+public:
+ // export permeability type
+ using PermeabilityType = Scalar;
+
+ BloodFlowSpatialParams(const Problem& problem, const GridView& gridView)
+ : ParentType(problem, gridView) {}
+
+ /*!
+ * \brief Return the intrinsic permeability for the current sub-control volume in [m^2].
+ *
+ * \param ipGlobal The integration point
+ */
+ Scalar permeabilityAtPos(const GlobalPosition& ipGlobal) const
+ {
+ return (1 + ipGlobal[2] + 0.5*ipGlobal[2]*ipGlobal[2])/(M_PI*radius(0)*radius(0));
+ }
+
+ /*!
+ * \brief Return the radius of the circular pipe for the current sub-control volume in [m].
+ *
+ * \param the index of the element
+ */
+ Scalar radius(unsigned int eIdxGlobal) const
+ {
+ return GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, SpatialParams, Radius);
+ }
+
+ /*!
+ * \brief Returns the porosity \f$[-]\f$
+ *
+ * \param element The element
+ * \param scv The sub control volume
+ * \param elemSol The element solution vector
+ * \return the porosity
+ */
+ Scalar porosity(const Element& element,
+ const SubControlVolume& scv,
+ const ElementSolutionVector& elemSol) const
+ { return 1.0; }
+};
+
+} // end namespace Dumux
+
+#endif
diff --git a/test/mixeddimension/embedded/1p_1p/convergencetest.py b/test/mixeddimension/embedded/1p_1p/convergencetest.py
new file mode 100755
index 0000000000000000000000000000000000000000..2efe0fdc7b06ff0caab865703d80b1f265b3032b
--- /dev/null
+++ b/test/mixeddimension/embedded/1p_1p/convergencetest.py
@@ -0,0 +1,53 @@
+#!/usr/bin/env python
+
+from math import *
+import subprocess
+import sys
+
+if len(sys.argv) != 2:
+ sys.err.write('Please provide a single argument <testname> to the script')
+
+testname = str(sys.argv[1])
+
+subprocess.call(['rm', testname + '.log'])
+print("Removed old log file ({})!".format(testname + '.log'))
+for i in [10, 20, 30, 40, 50, 60]:
+ subprocess.call(['./' + testname, '-ParameterFile', 'test_1p1dstokes.input',
+ '-TissueGrid.Cells', 3*(str(i)+" "),
+ '-VesselGrid.Cells', str(i),
+ '-Problem.Name', testname])
+
+logfile = open(testname + '.log', "r+")
+
+bulkError = []
+bulkHmax = []
+lowDimError = []
+lowDimHmax = []
+for line in logfile:
+ line = line.strip("\n")
+ line = line.split()
+ bulkHmax.append(float(line[0]))
+ lowDimHmax.append(float(line[1]))
+ bulkError.append(float(line[2]))
+ lowDimError.append(float(line[3]))
+
+logfile.truncate(0)
+for name, hmax, error in (("3D", bulkHmax, bulkError), ("1D", lowDimHmax, lowDimError)):
+ logfile.write("[" + name + "]\thmax\t\terror\t\trate\n")
+ logfile.write("-"*50 + "\n")
+ for i in range(len(error)-1):
+ if isnan(error[i]) or isinf(error[i]):
+ continue
+ if not (error[i] < 1e-12 or error[i] < 1e-12):
+ rate = (log(error[i])-log(error[i+1]))/(log(hmax[i])-log(hmax[i+1]))
+ message = "{}\t{:0.4e}\t{:0.4e}\t{:0.4e}\n".format(i, hmax[i], error[i], rate)
+ logfile.write(message)
+ else:
+ logfile.write("error: exact solution!?")
+ i = len(error)-1
+ message = "{}\t{:0.4e}\t{:0.4e}\n\n\n".format(i, hmax[i], error[i])
+ logfile.write(message)
+
+logfile.close()
+print("\nComputed the following convergence rates:\n")
+subprocess.call(['cat', testname + '.log'])
diff --git a/test/mixeddimension/embedded/1p_1p/grids/cylinder.geo b/test/mixeddimension/embedded/1p_1p/grids/cylinder.geo
new file mode 100644
index 0000000000000000000000000000000000000000..67b329574236d6a788bcfcd0f20462b4248f6eda
--- /dev/null
+++ b/test/mixeddimension/embedded/1p_1p/grids/cylinder.geo
@@ -0,0 +1,41 @@
+size = 0.1;
+Point(1) = {0, 0, 0, size};
+Point(2) = {1, 0, 0, size};
+Point(3) = {0, 1, 0, size};
+Point(4) = {0, -1, 0, size};
+Point(5) = {-1, 0, 0, size};
+Point(6) = {-1, 0, 1, size};
+Point(7) = {0, 0, 1, size};
+Point(8) = {0, 1, 1, size};
+Point(13) = {1, 0, 1, size};
+Point(18) = {0, -1, 1, size};
+
+Circle(1) = {3, 1, 2};
+Circle(2) = {2, 1, 4};
+Circle(3) = {4, 1, 5};
+Circle(4) = {5, 1, 3};
+Circle(8) = {6, 7, 8};
+Circle(9) = {8, 7, 13};
+Circle(10) = {13, 7, 18};
+Circle(11) = {18, 7, 6};
+
+Line(13) = {5, 6};
+Line(14) = {3, 8};
+Line(18) = {2, 13};
+Line(22) = {4, 18};
+
+Line Loop(6) = {4, 1, 2, 3};
+Ruled Surface(6) = {6};
+Line Loop(15) = {4, 14, -8, -13};
+Ruled Surface(15) = {15};
+Line Loop(19) = {1, 18, -9, -14};
+Ruled Surface(19) = {19};
+Line Loop(23) = {2, 22, -10, -18};
+Ruled Surface(23) = {23};
+Line Loop(27) = {3, 13, -11, -22};
+Ruled Surface(27) = {27};
+Line Loop(28) = {8, 9, 10, 11};
+Ruled Surface(28) = {28};
+Surface Loop(1) = {6, 28, 15, 19, 23, 27};
+
+Volume(1) = {1};
diff --git a/test/mixeddimension/embedded/1p_1p/grids/cylinder.msh b/test/mixeddimension/embedded/1p_1p/grids/cylinder.msh
new file mode 100644
index 0000000000000000000000000000000000000000..ec41116a09117430f50fb8e5aaaee505935ddc2a
--- /dev/null
+++ b/test/mixeddimension/embedded/1p_1p/grids/cylinder.msh
@@ -0,0 +1,18890 @@
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+2.2 0 8
+$EndMeshFormat
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+15920 4 2 0 1 104 1211 103 886
+15921 4 2 0 1 503 26 495 998
+15922 4 2 0 1 470 67 562 68
+15923 4 2 0 1 99 739 1524 98
+15924 4 2 0 1 1211 907 103 886
+15925 4 2 0 1 1198 83 84 580
+15926 4 2 0 1 32 273 33 978
+15927 4 2 0 1 446 48 1114 49
+15928 4 2 0 1 118 1046 119 1250
+15929 4 2 0 1 909 28 885 282
+15930 4 2 0 1 907 1211 102 1484
+15931 4 2 0 1 1224 113 889 112
+15932 4 2 0 1 1289 78 651 77
+15933 4 2 0 1 33 285 34 954
+15934 4 2 0 1 920 479 31 32
+15935 4 2 0 1 128 1205 127 1049
+15936 4 2 0 1 191 18 789 19
+15937 4 2 0 1 1200 76 77 591
+15938 4 2 0 1 99 735 1514 1203
+15939 4 2 0 1 42 41 488 1065
+15940 4 2 0 1 28 909 526 282
+15941 4 2 0 1 1488 845 1480 86
+15942 4 2 0 1 426 67 66 644
+15943 4 2 0 1 1168 121 120 1394
+15944 4 2 0 1 669 1286 578 71
+15945 4 2 0 1 738 1495 1408 87
+15946 4 2 0 1 90 1350 839 91
+15947 4 2 0 1 907 1211 103 102
+15948 4 2 0 1 260 53 1070 54
+15949 4 2 0 1 934 981 988 2734
+15950 4 2 0 1 1208 121 122 1079
+15951 4 2 0 1 108 107 979 1436
+15952 4 2 0 1 1473 111 973 987
+15953 4 2 0 1 74 73 558 1447
+15954 4 2 0 1 1459 971 104 105
+15955 4 2 0 1 1115 1139 1478 123
+15956 4 2 0 1 642 679 588 2560
+15957 4 2 0 1 78 1289 627 79
+15958 4 2 0 1 109 108 955 1390
+15959 4 2 0 1 36 37 972 271
+15960 4 2 0 1 57 581 279 58
+15961 4 2 0 1 1408 738 87 88
+15962 4 2 0 1 111 1473 973 112
+15963 4 2 0 1 903 244 39 40
+15964 4 2 0 1 26 2 495 998
+15965 4 2 0 1 1473 111 987 110
+15966 4 2 0 1 129 1502 1068 1064
+15967 4 2 0 1 76 680 1207 75
+15968 4 2 0 1 1398 1286 72 578
+15969 4 2 0 1 110 987 1498 959
+15970 4 2 0 1 196 24 734 25
+15971 4 2 0 1 35 36 986 197
+15972 4 2 0 1 54 1063 438 55
+15973 4 2 0 1 958 35 986 197
+15974 4 2 0 1 885 28 29 282
+15975 4 2 0 1 501 13 12 740
+15976 4 2 0 1 66 493 658 65
+15977 4 2 0 1 74 1476 643 75
+15978 4 2 0 1 85 1490 84 576
+15979 4 2 0 1 30 29 276 970
+15980 4 2 0 1 1286 72 578 71
+15981 4 2 0 1 1492 130 6 1155
+15982 4 2 0 1 118 1067 1273 117
+15983 4 2 0 1 100 1501 1514 843
+15984 4 2 0 1 657 595 627 2812
+15985 4 2 0 1 20 834 195 21
+15986 4 2 0 1 36 271 986 197
+15987 4 2 0 1 116 1157 1381 10
+15988 4 2 0 1 582 69 480 68
+15989 4 2 0 1 287 30 1007 31
+15990 4 2 0 1 737 1495 87 86
+15991 4 2 0 1 1008 106 1291 919
+15992 4 2 0 1 434 38 910 39
+15993 4 2 0 1 1382 113 114 908
+15994 4 2 0 1 73 1398 72 579
+15995 4 2 0 1 198 70 668 3
+15996 4 2 0 1 116 1066 117 1508
+15997 4 2 0 1 1131 120 119 1262
+15998 4 2 0 1 645 1429 82 81
+15999 4 2 0 1 185 60 59 642
+16000 4 2 0 1 1156 268 55 5
+16001 4 2 0 1 997 906 101 1485
+16002 4 2 0 1 1501 9 157 843
+16003 4 2 0 1 101 997 1501 9
+16004 4 2 0 1 1405 820 89 90
+16005 4 2 0 1 99 735 100 1514
+16006 4 2 0 1 487 846 11 3
+16007 4 2 0 1 69 575 441 70
+16008 4 2 0 1 283 1167 46 45
+16009 4 2 0 1 1501 100 9 843
+16010 4 2 0 1 838 92 91 1265
+16011 4 2 0 1 96 1210 95 835
+16012 4 2 0 1 1146 50 51 286
+16013 4 2 0 1 525 60 679 61
+16014 4 2 0 1 56 5 174 670
+16015 4 2 0 1 97 822 1290 96
+16016 4 2 0 1 1424 80 631 79
+16017 4 2 0 1 997 1501 9 157
+16018 4 2 0 1 1205 1502 1068 128
+16019 4 2 0 1 1402 114 115 904
+16020 4 2 0 1 482 1158 41 4
+16021 4 2 0 1 476 42 1069 43
+16022 4 2 0 1 125 124 1119 1466
+16023 4 2 0 1 52 1132 51 517
+16024 4 2 0 1 1506 115 10 995
+16025 4 2 0 1 231 17 16 837
+16026 4 2 0 1 127 126 1133 1271
+16027 4 2 0 1 94 1201 93 790
+16028 4 2 0 1 1402 115 995 904
+16029 4 2 0 1 844 527 25 2
+16030 4 2 0 1 1480 667 8 148
+16031 4 2 0 1 845 1480 86 8
+16032 4 2 0 1 906 102 101 1485
+16033 4 2 0 1 124 1115 1478 123
+16034 4 2 0 1 502 4 40 996
+16035 4 2 0 1 1480 667 85 8
+16036 4 2 0 1 845 1480 8 148
+16037 4 2 0 1 106 107 1291 919
+16038 4 2 0 1 667 1496 1480 85
+16039 4 2 0 1 735 100 1514 843
+16040 4 2 0 1 1506 1402 115 995
+16041 4 2 0 1 1502 129 1068 128
+16042 4 2 0 1 110 1498 109 959
+$EndElements
diff --git a/test/mixeddimension/embedded/1p_1p/plot.py b/test/mixeddimension/embedded/1p_1p/plot.py
new file mode 100644
index 0000000000000000000000000000000000000000..24f3113008a30b143742e7692466abdf3c990c49
--- /dev/null
+++ b/test/mixeddimension/embedded/1p_1p/plot.py
@@ -0,0 +1,61 @@
+#! /usr/bin/python
+
+import subprocess
+from math import log, floor, fabs
+import numpy
+
+radius = 0.05
+# # maximum allowed refinement is numCells = 2/radius then the average operator has to be implemented
+# # only even numbers allowed otherwise log(0) will be evaluated
+# levels = [int(i) for i in numpy.linspace(7, 21, 5)]
+# levels = [(i+1 if i%2 == 0 else i) for i in levels]
+
+# #initialize log file
+# file = open("log.txt", "w+")
+# file.write("#l2-norms\n")
+# file.close()
+
+# for numCells in levels:
+# subprocess.call(['./dangelo', '-VesselGrid.Cells', str(numCells),
+# '-TissueGrid.Cells', " ".join([str(numCells)]*3),
+# '-SpatialParams.Radius', str(radius)])
+
+# calculate the rates
+hmax3 = []
+hmax1 = []
+p3 = []
+p1 = []
+for line in open("log.txt"):
+ line = line.strip()
+ if line.startswith('#'):
+ continue
+ list = line.split(' ')
+ hmax3.append(float(list[0]))
+ hmax1.append(float(list[1]))
+ p3.append(float(list[2]))
+ p1.append(float(list[3]))
+
+rates3d = []
+rates1d = []
+for i in range(1, len(p1)):
+ try:
+ rate1 = (log(p1[i-1]) - log(p1[i]))/(log(hmax1[i-1]) - log(hmax1[i]))
+ rate3 = (log(p3[i-1]) - log(p3[i]))/(log(hmax3[i-1]) - log(hmax3[i]))
+ except ValueError:
+ continue
+ print('1d: {0:.5f} 3d: {1:.5f}'.format(rate1, rate3))
+ rates3d.append(rate3)
+ rates1d.append(rate1)
+
+
+# plot the results
+import matplotlib.pyplot as plt
+plt.grid("on")
+plt.plot(hmax1, p1, label='|pv-pv^h|L2')
+plt.plot(hmax3, p3, label='|pt-pt^h|L2')
+plt.plot(hmax1, [h*fabs(log(h)) for h in hmax1], label='h') #label='h*|log h|')
+plt.plot(hmax3, [h*fabs(log(h)) for h in hmax3], label='h') #label='h*|log h|')
+plt.xscale('log')
+plt.yscale('log')
+plt.legend()
+plt.show()
diff --git a/test/mixeddimension/embedded/1p_1p/test_1p_1p.cc b/test/mixeddimension/embedded/1p_1p/test_1p_1p.cc
new file mode 100644
index 0000000000000000000000000000000000000000..d9a1e2cdaa999448ca8388ef178a756c5d9f144d
--- /dev/null
+++ b/test/mixeddimension/embedded/1p_1p/test_1p_1p.cc
@@ -0,0 +1,45 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ * See the file COPYING for full copying permissions. *
+ * *
+ * This program is free software: you can redistribute it and/or modify *
+ * it under the terms of the GNU General Public License as published by *
+ * the Free Software Foundation, either version 2 of the License, or *
+ * (at your option) any later version. *
+ * *
+ * This program is distributed in the hope that it will be useful, *
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of *
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
+ * GNU General Public License for more details. *
+ * *
+ * You should have received a copy of the GNU General Public License *
+ * along with this program. If not, see <http://www.gnu.org/licenses/>. *
+ *****************************************************************************/
+/*!
+ * \file
+ *
+ * \brief test for the 1d 3d cell-centered coupled model
+ */
+#include "config.h"
+#include "1d3dtestproblem.hh"
+#include <dumux/mixeddimension/embedded/start.hh>
+
+/*!
+ * \brief Provides an interface for customizing error messages associated with
+ * reading in parameters.
+ *
+ * \param progName The name of the program, that was tried to be started.
+ * \param errorMsg The error message that was issued by the start function.
+ * Comprises the thing that went wrong and a general help message.
+ */
+void usage(const char *progName, const std::string &errorMsg)
+{
+ // TODO
+}
+
+int main(int argc, char** argv)
+{
+ typedef TTAG(TestOneDThreeDCCProblem) ProblemTypeTag;
+ return Dumux::start<ProblemTypeTag>(argc, argv, usage);
+}
diff --git a/test/mixeddimension/embedded/1p_1p/test_1p_1p.input b/test/mixeddimension/embedded/1p_1p/test_1p_1p.input
new file mode 100644
index 0000000000000000000000000000000000000000..97612af7e014414cb208e4c9951ddd25f1e475dd
--- /dev/null
+++ b/test/mixeddimension/embedded/1p_1p/test_1p_1p.input
@@ -0,0 +1,52 @@
+[MixedDimension]
+UseIterativeSolver = false
+NumCircleSegments = 100
+
+[TimeManager]
+DtInitial = 1 # [s]
+TEnd = 1 # [s]
+MaxTimeStepSize = 1
+DtInitialBulkProblem = 1 # [s]
+DtInitialLowDimProblem = 1 # [s]
+EpisodeTime = 1 # [s]
+
+[VesselGrid]
+LowerLeft = 0 0 0
+UpperRight = 0 0 1
+Cells = 40
+
+[TissueGrid]
+#File = ./grids/cylinder.msh
+#Refinement = 10
+LowerLeft = -1 -1 0
+UpperRight = 1 1 1
+Cells = 40 40 40
+
+[Problem]
+Name = test_1p1dstokes
+NormIntegrationOrder = 1
+NormExcludeInnerBulk = true
+IntegrationOrder = 2
+LiquidKinematicViscosity = 1 # [m^2/s]
+LiquidDensity = 1 # [kg/m^3]
+
+[IterativeAlgorithm]
+MaxIterations = 100
+Tolerance = 1.0e-5
+Verbose = 1
+IntegrationOrder = 1
+
+[SpatialParams]
+PermeabilityTissue = 1 # [m^2]
+Radius = 0.33 # [m]
+
+[Vtk]
+AddVelocity = 0
+
+[BoundaryConditions1D]
+PressureInput = 2.0
+DeltaPressure = 1.0
+
+[Newton]
+MaxRelativeShift = 1e-5
+MaxSteps = 60
diff --git a/test/mixeddimension/embedded/1p_1p/tissueproblem.hh b/test/mixeddimension/embedded/1p_1p/tissueproblem.hh
new file mode 100644
index 0000000000000000000000000000000000000000..bf10ffeee903f6d7bbbd2fb0a5b8643aab81c11d
--- /dev/null
+++ b/test/mixeddimension/embedded/1p_1p/tissueproblem.hh
@@ -0,0 +1,359 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ * See the file COPYING for full copying permissions. *
+ * *
+ * This program is free software: you can redistribute it and/or modify *
+ * it under the terms of the GNU General Public License as published by *
+ * the Free Software Foundation, either version 2 of the License, or *
+ * (at your option) any later version. *
+ * *
+ * This program is distributed in the hope that it will be useful, *
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of *
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
+ * GNU General Public License for more details. *
+ * *
+ * You should have received a copy of the GNU General Public License *
+ * along with this program. If not, see <http://www.gnu.org/licenses/>. *
+ *****************************************************************************/
+/**
+ * \file
+ * \brief Definition of a problem, for the 1p2c problem:
+ * Component transport of oxygen in interstitial fluid.
+ */
+#ifndef DUMUX_TISSUE_PROBLEM_HH
+#define DUMUX_TISSUE_PROBLEM_HH
+
+#include <dune/geometry/quadraturerules.hh>
+#include <dune/geometry/referenceelements.hh>
+#include <dune/localfunctions/lagrange/pqkfactory.hh>
+
+#include <dumux/common/math.hh>
+#include <dumux/implicit/cellcentered/tpfa/properties.hh>
+#include <dumux/porousmediumflow/1p/implicit/model.hh>
+#include <dumux/porousmediumflow/implicit/problem.hh>
+#include <dumux/material/components/constant.hh>
+#include <dumux/material/fluidsystems/liquidphase.hh>
+
+#include <dumux/mixeddimension/subproblemproperties.hh>
+
+#include "tissuespatialparams.hh"
+
+namespace Dumux
+{
+
+template <class TypeTag>
+class TissueProblem;
+
+namespace Properties
+{
+NEW_TYPE_TAG(TissueProblem, INHERITS_FROM(OneP));
+NEW_TYPE_TAG(TissueCCProblem, INHERITS_FROM(CCTpfaModel, TissueProblem));
+
+// Set the grid type
+SET_TYPE_PROP(TissueProblem, Grid, Dune::YaspGrid<3, Dune::EquidistantOffsetCoordinates<typename GET_PROP_TYPE(TypeTag, Scalar), 3> >);
+
+SET_BOOL_PROP(TissueProblem, EnableGlobalFVGeometryCache, true);
+SET_BOOL_PROP(TissueProblem, EnableGlobalVolumeVariablesCache, true);
+SET_BOOL_PROP(TissueProblem, EnableGlobalFluxVariablesCache, true);
+SET_BOOL_PROP(TissueProblem, SolutionDependentAdvection, false);
+SET_BOOL_PROP(TissueProblem, SolutionDependentMolecularDiffusion, false);
+SET_BOOL_PROP(TissueProblem, SolutionDependentHeatConduction, false);
+
+// Set the grid parameter group
+SET_STRING_PROP(TissueProblem, GridParameterGroup, "TissueGrid");
+
+// Set the problem property
+SET_TYPE_PROP(TissueProblem, Problem, TissueProblem<TypeTag>);
+
+SET_PROP(TissueProblem, Fluid)
+{
+private:
+ using Scalar = typename GET_PROP_TYPE(TypeTag, Scalar);
+public:
+ using type = FluidSystems::LiquidPhase<Scalar, Constant<TypeTag, Scalar>>;
+};
+
+// Set the spatial parameters
+SET_TYPE_PROP(TissueProblem, SpatialParams, Dumux::TissueSpatialParams<TypeTag>);
+
+
+// Enable velocity output
+SET_BOOL_PROP(TissueProblem, VtkAddVelocity, false);
+
+// Disable gravity
+SET_BOOL_PROP(TissueProblem, ProblemEnableGravity, false);
+}
+
+
+/*!
+ * \ingroup OnePTwoCModel
+ * \ingroup ImplicitTestProblems
+ */
+template <class TypeTag>
+class TissueProblem : public ImplicitPorousMediaProblem<TypeTag>
+{
+ using ParentType = ImplicitPorousMediaProblem<TypeTag>;
+ using GridView = typename GET_PROP_TYPE(TypeTag, GridView);
+ using Scalar = typename GET_PROP_TYPE(TypeTag, Scalar);
+ using FVElementGeometry = typename GET_PROP_TYPE(TypeTag, FVElementGeometry);
+ using SubControlVolume = typename GET_PROP_TYPE(TypeTag, SubControlVolume);
+ using PrimaryVariables = typename GET_PROP_TYPE(TypeTag, PrimaryVariables);
+ using ElementVolumeVariables = typename GET_PROP_TYPE(TypeTag, ElementVolumeVariables);
+ using BoundaryTypes = typename GET_PROP_TYPE(TypeTag, BoundaryTypes);
+ using TimeManager = typename GET_PROP_TYPE(TypeTag, TimeManager);
+ using PointSource = typename GET_PROP_TYPE(TypeTag, PointSource);
+ using Indices = typename GET_PROP_TYPE(TypeTag, Indices);
+
+ // copy some indices for convenience
+ enum {
+ // world dimension
+ dim = GridView::dimension,
+ dimWorld = GridView::dimensionworld
+ };
+ enum { pressureIdx = Indices::pressureIdx };
+ enum { conti0EqIdx = Indices::conti0EqIdx };
+
+ enum { isBox = GET_PROP_VALUE(TypeTag, ImplicitIsBox) };
+ enum { dofCodim = isBox ? dim : 0 };
+
+ using Element = typename GridView::template Codim<0>::Entity;
+ using GlobalPosition = Dune::FieldVector<Scalar, dimWorld>;
+
+ using GlobalProblemTypeTag = typename GET_PROP_TYPE(TypeTag, GlobalProblemTypeTag);
+ using CouplingManager = typename GET_PROP_TYPE(GlobalProblemTypeTag, CouplingManager);
+
+public:
+ TissueProblem(TimeManager &timeManager, const GridView &gridView)
+ : ParentType(timeManager, gridView)
+ {
+ //read parameters from input file
+ name_ = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, std::string, Problem, Name) + "_3d";
+ }
+
+ /*!
+ * \brief Called by the TimeManager in order to
+ * initialize the problem.
+ */
+ void init()
+ {
+ ParentType::init();
+ exactPressure_.resize(this->model().numDofs());
+ for (const auto& element : elements(this->gridView()))
+ {
+ auto fvGeometry = localView(this->model().globalFvGeometry());
+ fvGeometry.bindElement(element);
+
+ for (auto&& scv : scvs(fvGeometry))
+ exactPressure_[scv.dofIndex()] = exactSolution(scv.dofPosition());
+ }
+ }
+
+ /*!
+ * \brief Returns true if a restart file should be written to
+ * disk.
+ */
+ bool shouldWriteRestartFile() const
+ { return false; }
+
+ /*!
+ * \name Problem parameters
+ */
+ // \{
+
+ /*!
+ * \brief The problem name.
+ *
+ * This is used as a prefix for files generated by the simulation.
+ */
+ const std::string& name() const
+ { return name_; }
+
+ /*!
+ * \brief Returns the temperature within the domain [K].
+ *
+ * This problem assumes a temperature of 37 degrees Celsius.
+ */
+ Scalar temperature() const
+ { return 273.15 + 37; } // in [K]
+
+ // \}
+
+ /*!
+ * \name Boundary conditions
+ */
+ // \{
+
+ /*!
+ * \brief Specifies which kind of boundary condition should be
+ * used for which equation on a given boundary segment.
+ *
+ * \param globalPos The position for which the bc type should be evaluated
+ */
+ BoundaryTypes boundaryTypesAtPos(const GlobalPosition &globalPos) const
+ {
+ BoundaryTypes values;
+ values.setAllDirichlet();
+ return values;
+ }
+
+ /*!
+ * \brief Evaluate the boundary conditions for a dirichlet
+ * boundary segment.
+ *
+ * \param globalPos The position for which the bc type should be evaluated
+ *
+ * For this method, the \a values parameter stores primary variables.
+ */
+ PrimaryVariables dirichletAtPos(const GlobalPosition &globalPos) const
+ {
+ PrimaryVariables values;
+ values = exactSolution(globalPos);
+ return values;
+ }
+
+ // \}
+
+ /*!
+ * \name Volume terms
+ */
+ // \{
+
+ /*!
+ * \brief Applies a vector of point sources. The point sources
+ * are possibly solution dependent.
+ *
+ * \param pointSources A vector of Dumux::PointSource s that contain
+ source values for all phases and space positions.
+ *
+ * For this method, the \a values method of the point source
+ * has to return the absolute mass rate in kg/s. Positive values mean
+ * that mass is created, negative ones mean that it vanishes.
+ */
+ void addPointSources(std::vector<PointSource>& pointSources) const
+ { pointSources = this->couplingManager().bulkPointSources(); }
+
+ /*!
+ * \brief Evaluate the point sources (added by addPointSources)
+ * for all phases within a given sub-control-volume.
+ *
+ * This is the method for the case where the point source is
+ * solution dependent and requires some quantities that
+ * are specific to the fully-implicit method.
+ *
+ * \param pointSource A single point source
+ * \param element The finite element
+ * \param fvGeometry The finite-volume geometry
+ * \param elemVolVars All volume variables for the element
+ * \param scv The sub-control volume within the element
+ *
+ * For this method, the \a values() method of the point sources returns
+ * the absolute rate mass generated or annihilate in kg/s. Positive values mean
+ * that mass is created, negative ones mean that it vanishes.
+ */
+ void pointSource(PointSource& source,
+ const Element &element,
+ const FVElementGeometry& fvGeometry,
+ const ElementVolumeVariables& elemVolVars,
+ const SubControlVolume &scv) const
+ {
+ // compute source at every integration point
+ //const auto& bulkVolVars = elemVolVars[scv];
+ const auto& bulkVolVars = this->couplingManager().bulkVolVars(source.id());
+ const Scalar pressure1D = this->couplingManager().lowDimPriVars(source.id())[pressureIdx];
+
+ // calculate the source
+ const Scalar radius = this->couplingManager().radius(source.id());
+ const Scalar beta = 2*M_PI/(2*M_PI + std::log(radius));
+ const Scalar sourceValue = beta*(pressure1D - bulkVolVars.pressure())*bulkVolVars.density();
+ source = sourceValue*source.quadratureWeight()*source.integrationElement();
+ }
+
+ /*!
+ * \brief Evaluate the initial value for a control volume.
+ *
+ * \param values The initial values for the primary variables
+ * \param globalPos The position for which the initial condition should be evaluated
+ *
+ * For this method, the \a values parameter stores primary
+ * variables.
+ */
+ PrimaryVariables initialAtPos(const GlobalPosition &globalPos) const
+ { return PrimaryVariables(0.0); }
+
+ //! The exact solution
+ Scalar exactSolution(const GlobalPosition &globalPos) const
+ {
+ Dune::FieldVector<double, 2> xy({globalPos[0], globalPos[1]});
+ return -1.0*(1+globalPos[2])/(2*M_PI)*std::log(xy.two_norm());
+
+ // use this instead if you are using the coupling manager with circle sources
+ // auto R = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, SpatialParams, Radius);
+ // if (xy.two_norm() > R)
+ // return -1.0*(1+globalPos[2])/(2*M_PI)*std::log(xy.two_norm());
+ // else
+ // return -1.0*(1+globalPos[2])/(2*M_PI)*std::log(R);
+ }
+
+ //! Called after every time step
+ //! Output the total global exchange term
+ void postTimeStep()
+ {
+ ParentType::postTimeStep();
+
+ PrimaryVariables source(0.0);
+
+ if (!(this->timeManager().time() < 0.0))
+ {
+ for (const auto& element : elements(this->gridView()))
+ {
+ auto fvGeometry = localView(this->model().globalFvGeometry());
+ fvGeometry.bindElement(element);
+
+ auto elemVolVars = localView(this->model().curGlobalVolVars());
+ elemVolVars.bindElement(element, fvGeometry, this->model().curSol());
+
+ for (auto&& scv : scvs(fvGeometry))
+ {
+ auto pointSources = this->scvPointSources(element, fvGeometry, elemVolVars, scv);
+ pointSources *= scv.volume()*elemVolVars[scv].extrusionFactor();
+ source += pointSources;
+ }
+ }
+ }
+
+ std::cout << "Global integrated source (3D): " << source << '\n';
+ }
+
+ /*!
+ * \brief Adds additional VTK output data to the VTKWriter. Function is called by the output module on every write.
+ */
+ void addVtkOutputFields(VtkOutputModule<TypeTag>& outputModule) const
+ {
+ auto& p = outputModule.createScalarField("exact pressure", dofCodim);
+ p = exactPressure_;
+ }
+
+ //! Set the coupling manager
+ void setCouplingManager(std::shared_ptr<CouplingManager> cm)
+ { couplingManager_ = cm; }
+
+ //! Get the coupling manager
+ const CouplingManager& couplingManager() const
+ { return *couplingManager_; }
+
+ const std::vector<unsigned int>& getAdditionalDofDependencies(unsigned int dofGlobalIdx) const
+ { return couplingManager().getAdditionalDofDependencies(dofGlobalIdx); }
+
+private:
+ std::vector<Scalar> exactPressure_;
+
+ static constexpr Scalar eps_ = 1.5e-7;
+ std::string name_;
+
+ std::shared_ptr<CouplingManager> couplingManager_;
+};
+
+} //end namespace Dumux
+
+#endif
diff --git a/test/mixeddimension/embedded/1p_1p/tissuespatialparams.hh b/test/mixeddimension/embedded/1p_1p/tissuespatialparams.hh
new file mode 100644
index 0000000000000000000000000000000000000000..d53668551cbfa1b536a3340ee14fd27623b1ea96
--- /dev/null
+++ b/test/mixeddimension/embedded/1p_1p/tissuespatialparams.hh
@@ -0,0 +1,102 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ * See the file COPYING for full copying permissions. *
+ * *
+ * This program is free software: you can redistribute it and/or modify *
+ * it under the terms of the GNU General Public License as published by *
+ * the Free Software Foundation, either version 2 of the License, or *
+ * (at your option) any later version. *
+ * *
+ * This program is distributed in the hope that it will be useful, *
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of *
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
+ * GNU General Public License for more details. *
+ * *
+ * You should have received a copy of the GNU General Public License *
+ * along with this program. If not, see <http://www.gnu.org/licenses/>. *
+ *****************************************************************************/
+/*!
+ * \file
+ *
+ * \brief Definition of the spatial parameters for the tissue problem
+ */
+#ifndef DUMUX_TISSUE_SPATIAL_PARAMS_HH
+#define DUMUX_TISSUE_SPATIAL_PARAMS_HH
+
+#include <dumux/material/spatialparams/implicit1p.hh>
+
+namespace Dumux
+{
+
+/*!
+ * \ingroup OnePModel
+ * \ingroup ImplicitTestProblems
+ *
+ * \brief Definition of the spatial parameters for the tissue problem
+ */
+template<class TypeTag>
+class TissueSpatialParams : public ImplicitSpatialParamsOneP<TypeTag>
+{
+ using ParentType = ImplicitSpatialParamsOneP<TypeTag>;
+ using Problem = typename GET_PROP_TYPE(TypeTag, Problem);
+ using Scalar = typename GET_PROP_TYPE(TypeTag, Scalar);
+ using GridView = typename GET_PROP_TYPE(TypeTag, GridView);
+ using Element = typename GridView::template Codim<0>::Entity;
+ using SubControlVolume = typename GET_PROP_TYPE(TypeTag, SubControlVolume);
+ using ElementSolutionVector = typename GET_PROP_TYPE(TypeTag, ElementSolutionVector);
+
+ enum {
+ // Grid and world dimension
+ dim = GridView::dimension,
+ dimworld = GridView::dimensionworld
+ };
+ using GlobalPosition = Dune::FieldVector<Scalar, dimworld>;
+
+public:
+ // export permeability type
+ using PermeabilityType = Scalar;
+
+ TissueSpatialParams(const Problem& problem, const GridView &gridView)
+ : ParentType(problem, gridView)
+ {
+ permeability_ = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, SpatialParams, PermeabilityTissue);
+ porosity_ = 1.0;
+ }
+
+ /*!
+ * \brief Define the intrinsic permeability \f$\mathrm{[m^2]}\f$.
+ *
+ * \param element The element
+ * \param scv The sub control volume
+ * \param elemSol the element solution vector
+ */
+ Scalar permeability(const Element& element,
+ const SubControlVolume& scv,
+ const ElementSolutionVector& elemSol) const
+ {
+ return permeability_;
+ }
+
+ /*!
+ * \brief Define the porosity \f$\mathrm{[-]}\f$.
+ *
+ * \param element The current finite element
+ * \param scv The sub control volume
+ * \param elemSol The current element solution vector
+ */
+ Scalar porosity(const Element& element,
+ const SubControlVolume& scv,
+ const ElementSolutionVector& elemSol) const
+ {
+ return porosity_;
+ }
+
+private:
+ Scalar permeability_;
+ Scalar porosity_;
+};
+
+} // end namespace Dumux
+
+#endif
diff --git a/test/mixeddimension/embedded/CMakeLists.txt b/test/mixeddimension/embedded/CMakeLists.txt
new file mode 100644
index 0000000000000000000000000000000000000000..404e7c295fe70637ec1eef5115d0c26bb9d37aed
--- /dev/null
+++ b/test/mixeddimension/embedded/CMakeLists.txt
@@ -0,0 +1 @@
+add_subdirectory("1p_1p")