diff --git a/test/freeflow/navierstokes/angeli/CMakeLists.txt b/test/freeflow/navierstokes/angeli/CMakeLists.txt
index 8e6f9c91a6658cacfbd2ad52be9fadc2c9591a1d..cb411f6e9a0d0f26db0f7422b50e5a280dddcba9 100644
--- a/test/freeflow/navierstokes/angeli/CMakeLists.txt
+++ b/test/freeflow/navierstokes/angeli/CMakeLists.txt
@@ -9,4 +9,18 @@ dumux_add_test(NAME test_ff_navierstokes_angeli
--command "${CMAKE_CURRENT_BINARY_DIR}/test_ff_navierstokes_angeli params.input
-Problem.Name test_ff_navierstokes_angeli")
+dumux_add_test(NAME test_ff_navierstokes_angeli_averaged
+ LABELS freeflow navierstokes
+ TARGET test_ff_navierstokes_angeli
+ CMAKE_GUARD HAVE_UMFPACK
+ COMMAND ${CMAKE_SOURCE_DIR}/bin/testing/runtest.py
+ CMD_ARGS --script fuzzy
+ --files ${CMAKE_SOURCE_DIR}/test/references/test_ff_navierstokes_angeli_averaged-reference.vtu
+ ${CMAKE_CURRENT_BINARY_DIR}/test_ff_navierstokes_angeli_averaged-00001.vtu
+ --command "${CMAKE_CURRENT_BINARY_DIR}/test_ff_navierstokes_angeli params.input
+ -TimeLoop.TEnd 1e-6 -TimeLoop.DtInitial 1e-6
+ -Problem.Name test_ff_navierstokes_angeli_averaged
+ -Problem.UseVelocityAveragingForInitial true
+ -Problem.UseVelocityAveragingForDirichlet true")
+
dune_symlink_to_source_files(FILES "params.input")
diff --git a/test/freeflow/navierstokes/angeli/main.cc b/test/freeflow/navierstokes/angeli/main.cc
index d0ce122aa0af211456d1d4d31e82cde329ef5be1..bf7b1d7009895ecf80a6d9b49bb711dc07fca2d8 100644
--- a/test/freeflow/navierstokes/angeli/main.cc
+++ b/test/freeflow/navierstokes/angeli/main.cc
@@ -49,11 +49,10 @@
/*!
* \brief Creates analytical solution.
* Returns a tuple of the analytical solution for the pressure, the velocity and the velocity at the faces
-* \param time the time at which to evaluate the analytical solution
* \param problem the problem for which to evaluate the analytical solution
*/
-template<class Scalar, class Problem>
-auto createAnalyticalSolution(const Scalar time, const Problem& problem)
+template<class Problem, class Scalar = double>
+auto createAnalyticalSolution(const Problem& problem)
{
const auto& gridGeometry = problem.gridGeometry();
using GridView = typename std::decay_t<decltype(gridGeometry)>::GridView;
@@ -80,7 +79,7 @@ auto createAnalyticalSolution(const Scalar time, const Problem& problem)
{
auto ccDofIdx = scv.dofIndex();
auto ccDofPosition = scv.dofPosition();
- auto analyticalSolutionAtCc = problem.analyticalSolution(ccDofPosition, time);
+ auto analyticalSolutionAtCc = problem.analyticalSolution(ccDofPosition);
// velocities on faces
for (auto&& scvf : scvfs(fvGeometry))
@@ -88,7 +87,7 @@ auto createAnalyticalSolution(const Scalar time, const Problem& problem)
const auto faceDofIdx = scvf.dofIndex();
const auto faceDofPosition = scvf.center();
const auto dirIdx = scvf.directionIndex();
- const auto analyticalSolutionAtFace = problem.analyticalSolution(faceDofPosition, time);
+ const auto analyticalSolutionAtFace = problem.analyticalSolution(faceDofPosition);
analyticalVelocityOnFace[faceDofIdx][dirIdx] = analyticalSolutionAtFace[Indices::velocity(dirIdx)];
}
@@ -137,18 +136,19 @@ int main(int argc, char** argv)
// get some time loop parameters
using Scalar = GetPropType<TypeTag, Properties::Scalar>;
+ const auto tStart = getParam<Scalar>("TimeLoop.TStart", 0.0);
const auto tEnd = getParam<Scalar>("TimeLoop.TEnd");
const auto maxDt = getParam<Scalar>("TimeLoop.MaxTimeStepSize");
auto dt = getParam<Scalar>("TimeLoop.DtInitial");
// instantiate time loop
- auto timeLoop = std::make_shared<TimeLoop<Scalar>>(0, dt, tEnd);
+ auto timeLoop = std::make_shared<TimeLoop<Scalar>>(tStart, dt, tEnd);
timeLoop->setMaxTimeStepSize(maxDt);
// the problem (initial and boundary conditions)
using Problem = GetPropType<TypeTag, Properties::Problem>;
auto problem = std::make_shared<Problem>(gridGeometry);
- problem->updateTimeStepSize(timeLoop->timeStepSize());
+ problem->setTime(timeLoop->time());
// the solution vector
using SolutionVector = GetPropType<TypeTag, Properties::SolutionVector>;
@@ -168,7 +168,7 @@ int main(int argc, char** argv)
using IOFields = GetPropType<TypeTag, Properties::IOFields>;
IOFields::initOutputModule(vtkWriter); // Add model specific output fields
- auto analyticalSolution = createAnalyticalSolution(timeLoop->time(), *problem);
+ auto analyticalSolution = createAnalyticalSolution(*problem);
vtkWriter.addField(std::get<0>(analyticalSolution), "pressureExact");
vtkWriter.addField(std::get<1>(analyticalSolution), "velocityExact");
vtkWriter.addFaceField(std::get<2>(analyticalSolution), "faceVelocityExact");
@@ -190,6 +190,8 @@ int main(int argc, char** argv)
const bool printL2Error = getParam<bool>("Problem.PrintL2Error");
timeLoop->start(); do
{
+ problem->setTime(timeLoop->time() + timeLoop->timeStepSize());
+
// solve the non-linear system with time step control
nonLinearSolver.solve(x, *timeLoop);
@@ -204,22 +206,23 @@ int main(int argc, char** argv)
using PrimaryVariables = GetPropType<TypeTag, Properties::PrimaryVariables>;
using L2Error = NavierStokesTestL2Error<Scalar, ModelTraits, PrimaryVariables>;
- const auto l2error = L2Error::calculateL2Error(*problem, x);
+ const auto [l2errorAbs, l2errorRel] = L2Error::calculateL2Error(*problem, x);
const int numCellCenterDofs = gridGeometry->numCellCenterDofs();
const int numFaceDofs = gridGeometry->numFaceDofs();
std::cout << std::setprecision(8) << "** L2 error (abs/rel) for "
<< std::setw(6) << numCellCenterDofs << " cc dofs and " << numFaceDofs << " face dofs (total: " << numCellCenterDofs + numFaceDofs << "): "
<< std::scientific
- << "L2(p) = " << l2error.first[Indices::pressureIdx] << " / " << l2error.second[Indices::pressureIdx]
- << ", L2(vx) = " << l2error.first[Indices::velocityXIdx] << " / " << l2error.second[Indices::velocityXIdx]
- << ", L2(vy) = " << l2error.first[Indices::velocityYIdx] << " / " << l2error.second[Indices::velocityYIdx]
+ << "L2(p) = " << l2errorAbs[Indices::pressureIdx] << " / " << l2errorRel[Indices::pressureIdx]
+ << ", L2(vx) = " << l2errorAbs[Indices::velocityXIdx] << " / " << l2errorRel[Indices::velocityXIdx]
+ << ", L2(vy) = " << l2errorAbs[Indices::velocityYIdx] << " / " << l2errorRel[Indices::velocityYIdx]
<< std::endl;
}
+ // update the analytical solution
+ analyticalSolution = createAnalyticalSolution(*problem);
+
// advance to the time loop to the next step
timeLoop->advanceTimeStep();
- problem->updateTime(timeLoop->time());
- analyticalSolution = createAnalyticalSolution(timeLoop->time(), *problem);
// write vtk output
vtkWriter.write(timeLoop->time());
@@ -229,7 +232,6 @@ int main(int argc, char** argv)
// set new dt as suggested by newton solver
timeLoop->setTimeStepSize(nonLinearSolver.suggestTimeStepSize(timeLoop->timeStepSize()));
- problem->updateTimeStepSize(timeLoop->timeStepSize());
} while (!timeLoop->finished());
diff --git a/test/freeflow/navierstokes/angeli/params.input b/test/freeflow/navierstokes/angeli/params.input
index de1b84e33d76c7fd565fdd67a94999cbbe44c9ce..80258048c396e11044da8b89d9a0e6986b2330a9 100644
--- a/test/freeflow/navierstokes/angeli/params.input
+++ b/test/freeflow/navierstokes/angeli/params.input
@@ -12,6 +12,8 @@ Name = test_angeli # name passed to the output routines
EnableGravity = false
PrintL2Error = false
EnableInertiaTerms = true
+UseVelocityAveragingForInitial = false
+UseVelocityAveragingForDirichlet = false
[Component]
LiquidDensity = 1
diff --git a/test/freeflow/navierstokes/angeli/problem.hh b/test/freeflow/navierstokes/angeli/problem.hh
index c793ab1e1205e63d81babf3e21be6804d9219497..2ae0f471cf90e2dd98db9792566a5cf992b72560 100644
--- a/test/freeflow/navierstokes/angeli/problem.hh
+++ b/test/freeflow/navierstokes/angeli/problem.hh
@@ -26,6 +26,8 @@
#ifndef DUMUX_ANGELI_TEST_PROBLEM_HH
#define DUMUX_ANGELI_TEST_PROBLEM_HH
+#include <dune/geometry/quadraturerules.hh>
+
#include <dumux/common/parameters.hh>
#include <dumux/common/properties.hh>
#include <dumux/common/numeqvector.hh>
@@ -53,6 +55,7 @@ class AngeliTestProblem : public NavierStokesProblem<TypeTag>
using BoundaryTypes = Dumux::NavierStokesBoundaryTypes<GetPropType<TypeTag, Properties::ModelTraits>::numEq()>;
using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>;
+ using GridView = typename GridGeometry::GridView;
using ModelTraits = GetPropType<TypeTag, Properties::ModelTraits>;
using PrimaryVariables = GetPropType<TypeTag, Properties::PrimaryVariables>;
using NumEqVector = Dumux::NumEqVector<PrimaryVariables>;
@@ -61,6 +64,8 @@ class AngeliTestProblem : public NavierStokesProblem<TypeTag>
static constexpr auto dimWorld = GridGeometry::GridView::dimensionworld;
using Element = typename GridGeometry::GridView::template Codim<0>::Entity;
+ using SubControlVolume = typename GridGeometry::SubControlVolume;
+ using SubControlVolumeFace = typename GridGeometry::SubControlVolumeFace;
using GlobalPosition = typename Element::Geometry::GlobalCoordinate;
using VelocityVector = Dune::FieldVector<Scalar, dimWorld>;
@@ -72,23 +77,23 @@ public:
{
kinematicViscosity_ = getParam<Scalar>("Component.LiquidKinematicViscosity", 1.0);
rho_ = getParam<Scalar>("Component.LiquidDensity", 1.0);
+ useVelocityAveragingForDirichlet_ = getParam<bool>("Problem.UseVelocityAveragingForDirichlet", false);
+ useVelocityAveragingForInitial_ = getParam<bool>("Problem.UseVelocityAveragingForInitial", false);
}
- /*!
+ /*!
* \brief Returns the temperature within the domain in [K].
- *
- * This problem assumes a temperature of 10 degrees Celsius.
+ * This problem assumes a temperature of 20 degrees Celsius (unused)
*/
Scalar temperature() const
- { return 298.0; }
+ { return 293.15; }
- // \}
- /*!
+ /*!
* \name Boundary conditions
*/
// \{
- /*!
+ /*!
* \brief Specifies which kind of boundary condition should be
* used for which equation on a given boundary control volume.
*
@@ -126,29 +131,46 @@ public:
return false;
}
- /*!
- * \brief Returns Dirichlet boundary values at a given position.
+ /*!
+ * \brief Evaluate the boundary conditions for a dirichlet
+ * control volume face (velocities)
*
- * \param globalPos The global position
+ * \param element The finite element
+ * \param scvf the sub control volume face
+ *
+ * Concerning the usage of averagedVelocity_, see the explanation of the initial function.
*/
- PrimaryVariables dirichletAtPos(const GlobalPosition & globalPos) const
+ PrimaryVariables dirichlet(const Element& element, const SubControlVolumeFace& scvf) const
{
- // use the values of the analytical solution
- return analyticalSolution(globalPos, time_+timeStepSize_);
+ if (useVelocityAveragingForDirichlet_)
+ return averagedVelocity_(scvf);
+ else
+ return analyticalSolution(scvf.center());
}
/*!
- * \brief Returns the analytical solution of the problem at a given time and position.
+ * \brief Evaluate the boundary conditions for a dirichlet
+ * control volume face (pressure)
*
+ * \param element The finite element
+ * \param scv the sub control volume
+ */
+ PrimaryVariables dirichlet(const Element& element, const SubControlVolume& scv) const
+ {
+ PrimaryVariables priVars(0.0);
+ priVars[Indices::pressureIdx] = analyticalSolution(scv.center())[Indices::pressureIdx];
+ return priVars;
+ }
+
+ /*!
+ * \brief Returns the analytical solution of the problem at a given time and position.
* \param globalPos The global position
- * \param time The current simulation time
*/
- PrimaryVariables analyticalSolution(const GlobalPosition& globalPos, const Scalar time) const
+ PrimaryVariables analyticalSolution(const GlobalPosition& globalPos) const
{
const Scalar x = globalPos[0];
const Scalar y = globalPos[1];
-
- const Scalar t = time;
+ const Scalar t = time_;
PrimaryVariables values;
@@ -159,54 +181,74 @@ public:
return values;
}
- /*!
- * \brief Returns the analytical solution of the problem at a given position.
- *
- * \param globalPos The global position
- */
- PrimaryVariables analyticalSolution(const GlobalPosition& globalPos) const
- {
- return analyticalSolution(globalPos, time_+timeStepSize_);
- }
-
// \}
- /*!
+ /*!
* \name Volume terms
*/
// \{
- /*!
- * \brief Evaluates the initial value for a control volume.
- *
- * \param globalPos The global position
+ /*!
+ * \brief Evaluates the initial value for a control volume (pressure)
*/
- PrimaryVariables initialAtPos(const GlobalPosition &globalPos) const
+ PrimaryVariables initial(const SubControlVolume& scv) const
{
- return analyticalSolution(globalPos, 0);
+ PrimaryVariables priVars(0.0);
+ priVars[Indices::pressureIdx] = analyticalSolution(scv.center())[Indices::pressureIdx];
+ return priVars;
}
/*!
- * \brief Updates the time
+ * \brief Evaluates the initial value for a sub control volume face (velocities)
+ *
+ * Simply assigning the value of the analytical solution at the face center
+ * gives a discrete solution that is not divergence-free. For small initial
+ * time steps, this has a negative impact on the pressure solution
+ * after the first time step. The flag UseVelocityAveragingForInitial triggers the
+ * function averagedVelocity_ which uses a higher order quadrature formula to
+ * bring the discrete solution sufficiently close to being divergence-free.
*/
- void updateTime(const Scalar time)
+ PrimaryVariables initial(const SubControlVolumeFace& scvf) const
{
- time_ = time;
+ if (useVelocityAveragingForInitial_)
+ return averagedVelocity_(scvf);
+ else
+ return analyticalSolution(scvf.center());
}
+ // \}
+
/*!
- * \brief Updates the time step size
+ * \brief Updates the time information
*/
- void updateTimeStepSize(const Scalar timeStepSize)
+ void setTime(Scalar t)
{
- timeStepSize_ = timeStepSize;
+ time_ = t;
}
private:
- Scalar kinematicViscosity_;
- Scalar rho_;
+ PrimaryVariables averagedVelocity_(const SubControlVolumeFace& scvf) const
+ {
+ PrimaryVariables priVars(0.0);
+ const auto geo = scvf.geometry();
+ const auto& quad = Dune::QuadratureRules<Scalar, GridView::dimension-1>::rule(geo.type(), 3);
+ for (auto&& qp : quad)
+ {
+ const auto w = qp.weight()*geo.integrationElement(qp.position());
+ const auto globalPos = geo.global(qp.position());
+ const auto sol = analyticalSolution(globalPos);
+ priVars[Indices::velocityXIdx] += sol[Indices::velocityXIdx]*w;
+ priVars[Indices::velocityYIdx] += sol[Indices::velocityYIdx]*w;
+ }
+ priVars[Indices::velocityXIdx] /= scvf.area();
+ priVars[Indices::velocityYIdx] /= scvf.area();
+ return priVars;
+ }
+
+ Scalar kinematicViscosity_, rho_;
Scalar time_ = 0;
- Scalar timeStepSize_ = 0;
+ bool useVelocityAveragingForDirichlet_;
+ bool useVelocityAveragingForInitial_;
};
} // end namespace Dumux
diff --git a/test/references/test_ff_navierstokes_angeli_averaged-reference.vtu b/test/references/test_ff_navierstokes_angeli_averaged-reference.vtu
new file mode 100755
index 0000000000000000000000000000000000000000..638641fdcc3f49bbb090df5fa3e8c4a46f4290c3
--- /dev/null
+++ b/test/references/test_ff_navierstokes_angeli_averaged-reference.vtu
@@ -0,0 +1,4022 @@
+<?xml version="1.0"?>
+<VTKFile type="UnstructuredGrid" version="0.1" byte_order="LittleEndian">
+ <UnstructuredGrid>
+ <Piece NumberOfCells="2500" NumberOfPoints="2601">
+ <CellData Scalars="p" Vectors="velocity_liq (m/s)">
+ <DataArray type="Float32" Name="p" NumberOfComponents="1" format="ascii">
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+ 7.03386 8.07044 9.00978 9.83632 10.5361 11.0972 11.5095 11.7651 11.8583 11.8583 11.7651 11.5095
+ 11.0972 10.5361 9.83632 9.00978 8.07044 7.03386 5.91706 4.73828 3.51667 2.27205 1.02456 -0.205595
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+ 5.01094 6.19295 7.31267 8.35182 9.2933 10.1215 10.8223 11.3837 11.7956 12.0499 12.1407 12.1407
+ 12.0499 11.7956 11.3837 10.8223 10.1215 9.2933 8.35182 7.31267 6.19295 5.01094 3.7859 2.53771
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