diff --git a/dumux/discretization/staggered/freeflow/connectivitymap.hh b/dumux/discretization/staggered/freeflow/connectivitymap.hh
index 313874e84121d9bf907f3f820f4a566918899a0e..e43321f1c0c68767972c7212d5b5002febda09c7 100644
--- a/dumux/discretization/staggered/freeflow/connectivitymap.hh
+++ b/dumux/discretization/staggered/freeflow/connectivitymap.hh
@@ -92,6 +92,13 @@ public:
}
}
+ //! \brief Set the order needed by the scheme
+ void setStencilOrder(const int stencilOrder)
+ {
+ stencilOrder_ = stencilOrder;
+ }
+
+
//! Returns the stencil of a cell center dof w.r.t. other cell center dofs
const std::vector<GridIndexType>& operator() (CellCenterIdxType, CellCenterIdxType, const GridIndexType globalI) const
{
@@ -143,7 +150,7 @@ private:
const FVElementGeometry& fvGeometry,
const SubControlVolumeFace& scvf)
{
- stencil.push_back(scvf.dofIndex());
+ stencil.push_back(scvf.axisData().selfDof);
}
/*
@@ -163,8 +170,8 @@ private:
auto& normalFace = fvGeometry.scvf(eIdx, data.localNormalFaceIdx);
if(!normalFace.boundary())
{
- const auto outerParallelElementDofIdx = normalFace.outsideScvIdx();
- stencil.push_back(outerParallelElementDofIdx);
+ const auto firstParallelElementDofIdx = normalFace.outsideScvIdx();
+ stencil.push_back(firstParallelElementDofIdx);
}
}
}
@@ -177,21 +184,43 @@ private:
const FVElementGeometry& fvGeometry,
const SubControlVolumeFace& scvf)
{
- // the first entries are always the face dofIdx itself and the one of the opposing face
if(stencil.empty())
{
- stencil.push_back(scvf.dofIndex());
- stencil.push_back(scvf.dofIndexOpposingFace());
+ for(int i = 0; i < stencilOrder_ - 1; i++)
+ {
+ if(scvf.hasBackwardNeighbor(i))
+ {
+ stencil.push_back(scvf.axisData().inAxisBackwardDofs[i]);
+ }
+ }
+
+ stencil.push_back(scvf.axisData().selfDof);
+ stencil.push_back(scvf.axisData().oppositeDof);
+
+ for(int i = 0; i < stencilOrder_ - 1; i++)
+ {
+ if(scvf.hasForwardNeighbor(i))
+ {
+ stencil.push_back(scvf.axisData().inAxisForwardDofs[i]);
+ }
+ }
}
for(const auto& data : scvf.pairData())
{
+ // add normal dofs
stencil.push_back(data.normalPair.first);
- const auto outerParallelFaceDofIdx = data.outerParallelFaceDofIdx;
- if(outerParallelFaceDofIdx >= 0)
- stencil.push_back(outerParallelFaceDofIdx);
if(!scvf.boundary())
stencil.push_back(data.normalPair.second);
+
+ // add parallel dofs
+ for (int i = 0; i < stencilOrder_ /*data.parallelDofs.size()*/; i++)
+ {
+ if(!(data.parallelDofs[i] < 0))
+ {
+ stencil.push_back(data.parallelDofs[i]);
+ }
+ }
}
}
@@ -199,6 +228,7 @@ private:
CellCenterToFaceMap cellCenterToFaceMap_;
FaceToCellCenterMap faceToCellCenterMap_;
FaceToFaceMap faceToFaceMap_;
+ int stencilOrder_;
};
} // end namespace Dumux
diff --git a/dumux/discretization/staggered/freeflow/facevariables.hh b/dumux/discretization/staggered/freeflow/facevariables.hh
index 6fd24dc689105446baddd6fb1b78c8d39db3f97c..e227cfdc046c20788df80bdd921032862069b858 100644
--- a/dumux/discretization/staggered/freeflow/facevariables.hh
+++ b/dumux/discretization/staggered/freeflow/facevariables.hh
@@ -25,6 +25,7 @@
#define DUMUX_DISCRETIZATION_STAGGERED_FREEFLOW_FACEVARIABLES_HH
#include <array>
+#include <vector>
namespace Dumux {
@@ -37,6 +38,7 @@ template<class FacePrimaryVariables, int dim>
class StaggeredFaceVariables
{
static constexpr int numPairs = (dim == 2) ? 2 : 4;
+ static constexpr int order = 2;
using Scalar = typename FacePrimaryVariables::block_type;
public:
@@ -72,7 +74,32 @@ public:
velocitySelf_ = faceSol[scvf.dofIndex()];
velocityOpposite_ = faceSol[scvf.dofIndexOpposingFace()];
+ // treat the velocity forward of the self face i.e. the face that is
+ // forward wrt the self face by degree i
+ velocityForward_.fill(0.0);
+ for (int i = 0; i < scvf.axisData().inAxisForwardDofs.size(); i++)
+ {
+ if(!(scvf.axisData().inAxisForwardDofs[i] < 0))
+ {
+ velocityForward_[i]= faceSol[scvf.axisData().inAxisForwardDofs[i]];
+ }
+ }
+
+ // treat the velocity at the first backward face i.e. the face that is
+ // behind the opposite face by degree i
+ velocityBackward_.fill(0.0);
+ for (int i = 0; i < scvf.axisData().inAxisBackwardDofs.size(); i++)
+ {
+ if(!(scvf.axisData().inAxisBackwardDofs[i] < 0))
+ {
+ velocityBackward_[i] = faceSol[scvf.axisData().inAxisBackwardDofs[i]];
+ }
+ }
+
// handle all sub faces
+ for(int i = 0; i < velocityParallel_.size(); ++i)
+ velocityParallel_[i].fill(0.0);
+
for(int i = 0; i < scvf.pairData().size(); ++i)
{
const auto& subFaceData = scvf.pairData(i);
@@ -80,12 +107,17 @@ public:
// treat the velocities normal to the face
velocityNormalInside_[i] = faceSol[subFaceData.normalPair.first];
- if(scvf.hasFrontalNeighbor(i))
+ if(scvf.hasOuterNormal(i))
velocityNormalOutside_[i] = faceSol[subFaceData.normalPair.second];
- // treat the velocity parallel to the face
- if(scvf.hasParallelNeighbor(i))
- velocityParallel_[i] = faceSol[subFaceData.outerParallelFaceDofIdx];
+ // treat the velocities parallel to the self face
+ for(int j = 0; j < subFaceData.parallelDofs.size(); j++)
+ {
+ if(scvf.hasParallelNeighbor(i,j))
+ {
+ velocityParallel_[i][j] = faceSol[subFaceData.parallelDofs[j]];
+ }
+ }
}
}
@@ -106,13 +138,34 @@ public:
}
/*!
- * \brief Returns the velocity at the parallel face
+ * \brief Returns the velocity at a backward face
+ *
+ * \param backwardIdx The index describing how many faces backward this dof is from the opposite face
+ */
+ Scalar velocityBackward(const int backwardIdx) const
+ {
+ return velocityBackward_[backwardIdx];
+ }
+
+ /*!
+ * \brief Returns the velocity at a forward face
+ *
+ * \param forwardIdx The index describing how many faces forward this dof is of the self face
+ */
+ Scalar velocityForward(const int forwardIdx) const
+ {
+ return velocityForward_[forwardIdx];
+ }
+
+ /*!
+ * \brief Returns the velocity at a parallel face
*
* \param localSubFaceIdx The local index of the subface
+ * \param parallelDegreeIdx The index describing how many faces parallel this dof is of the parallel face
*/
- Scalar velocityParallel(const int localSubFaceIdx) const
+ Scalar velocityParallel(const int localSubFaceIdx, const int parallelDegreeIdx) const
{
- return velocityParallel_[localSubFaceIdx];
+ return velocityParallel_[localSubFaceIdx][parallelDegreeIdx];
}
/*!
@@ -136,12 +189,14 @@ public:
}
private:
-
Scalar velocitySelf_;
Scalar velocityOpposite_;
- std::array<Scalar, numPairs> velocityParallel_;
- std::array<Scalar, numPairs> velocityNormalInside_;
- std::array<Scalar, numPairs> velocityNormalOutside_;
+ std::array<Scalar, order-1> velocityForward_;
+ std::array<Scalar, order-1> velocityBackward_;
+ std::array<std::array<Scalar, order>, numPairs> velocityParallel_;
+ std::array<Scalar, numPairs> velocityNormalInside_;
+ std::array<Scalar, numPairs> velocityNormalOutside_;
+
};
} // end namespace Dumux
diff --git a/dumux/discretization/staggered/freeflow/staggeredgeometryhelper.hh b/dumux/discretization/staggered/freeflow/staggeredgeometryhelper.hh
index 7760f173a222308fc2689da2bac8229a316aa0e3..6990c0daed38f81762929ddeedec7f1f85febbbd 100644
--- a/dumux/discretization/staggered/freeflow/staggeredgeometryhelper.hh
+++ b/dumux/discretization/staggered/freeflow/staggeredgeometryhelper.hh
@@ -30,26 +30,43 @@
#include <dumux/common/math.hh>
#include <type_traits>
#include <algorithm>
+#include <array>
-namespace Dumux {
+namespace Dumux
+{
/*!
* \ingroup StaggeredDiscretization
- * \brief Data stored per sub face
+ * \brief Parallel Data stored per sub face
*/
-template<class Scalar, class GlobalPosition>
+template<class Scalar, class GlobalPosition, int geometryOrder>
struct PairData
{
- int outerParallelFaceDofIdx;
- std::pair<int,int> normalPair;
+ std::array<int, geometryOrder> parallelDofs;
+ std::array<Scalar, geometryOrder+1> parallelDistances;
+ std::pair<signed int,signed int> normalPair;
int localNormalFaceIdx;
- int globalCommonEntIdx;
- Scalar parallelDistance;
Scalar normalDistance;
- GlobalPosition virtualOuterParallelFaceDofPos;
+ GlobalPosition virtualFirstParallelFaceDofPos;
+};
+
+/*!
+ * \ingroup StaggeredDiscretization
+ * \brief In Axis Data stored per sub face
+ */
+template<class Scalar, int geometryOrder>
+struct AxisData
+{
+ int selfDof;
+ int oppositeDof;
+ std::array<int, geometryOrder-1> inAxisForwardDofs;
+ std::array<int, geometryOrder-1> inAxisBackwardDofs;
+ Scalar selfToOppositeDistance;
+ std::array<Scalar, geometryOrder-1> inAxisForwardDistances;
+ std::array<Scalar, geometryOrder-1> inAxisBackwardDistances;
};
- /*!
+/*!
* \ingroup StaggeredDiscretization
* \brief Returns the dirction index of the facet (0 = x, 1 = y, 2 = z)
*/
@@ -65,11 +82,6 @@ inline static unsigned int directionIndex(Vector&& vector)
* \ingroup StaggeredDiscretization
* \brief Helper class constructing the dual grid finite volume geometries
* for the free flow staggered discretization method.
- *
- * A visualization of the variables that are in this document can be found in the following image:
- *
- * \image html staggeredgeometry.png
- *
*/
template<class GridView>
class FreeFlowStaggeredGeometryHelper
@@ -92,6 +104,7 @@ class FreeFlowStaggeredGeometryHelper
static constexpr int codimIntersection = 1;
static constexpr int codimCommonEntity = 2;
static constexpr int numFacetSubEntities = (dim == 2) ? 2 : 4;
+ static constexpr int numfacets = dimWorld * 2;
static constexpr int numPairs = 2 * (dimWorld - 1);
public:
@@ -106,95 +119,227 @@ public:
intersection_ = intersection;
innerNormalFacePos_.clear();
fillPairData_();
+ fillAxisData_();
}
/*!
- * \brief Returns the global dofIdx of the intersection itself
+ * \brief Returns the local index of the face (i.e. the intersection)
*/
- int dofIndex() const
+ int localFaceIndex() const
{
- //TODO: use proper intersection mapper!
- const auto inIdx = intersection_.indexInInside();
- return gridView_.indexSet().subIndex(intersection_.inside(), inIdx, codimIntersection);
+ return intersection_.indexInInside();
}
/*!
- * \brief Returns the global dofIdx of the opposing intersection
+ * \brief Returns a copy of the axis data
*/
- int dofIndexOpposingFace() const
+ auto axisData() const
{
- //TODO: use proper intersection mapper!
- const auto inIdx = intersection_.indexInInside();
- return gridView_.indexSet().subIndex(this->intersection_.inside(), localOppositeIdx_(inIdx), codimIntersection);
+ return axisData_;
}
/*!
- * \brief Returns the local index of the face (i.e. the intersection)
+ * \brief Returns a copy of the pair data
*/
- int localFaceIndex() const
+ auto pairData() const
{
- return intersection_.indexInInside();
+ return pairData_;
}
- /*!
- * \brief Returns the distance between dofSelf and dofOpposite
+ /*!
+ * \brief Returns the dirction index of the primary facet (0 = x, 1 = y, 2 = z)
*/
- Scalar selfToOppositeDistance() const
+ int directionIndex() const
{
- const auto inIdx = intersection_.indexInInside();
- const auto self = getFacet_(inIdx, element_);
- const auto opposite = getFacet_(localOppositeIdx_(inIdx), element_);
- return (self.geometry().center() - opposite.geometry().center()).two_norm();
+ return Dumux::directionIndex(std::move(intersection_.centerUnitOuterNormal()));
}
/*!
- * \brief Returns a copy of the pair data
+ * \brief Returns the dirction index of the facet passed as an argument (0 = x, 1 = y, 2 = z)
*/
- auto pairData() const
+ int directionIndex(const Intersection& intersection) const
{
- return pairData_;
+ return Dumux::directionIndex(std::move(intersection.centerUnitOuterNormal()));
}
- /*!
- * \brief Returns the dirction index of the facet (0 = x, 1 = y, 2 = z)
+ static constexpr int geometryOrder = 2;
+
+private:
+ /*!
+ * \brief Fills all entries of the in axis data
*/
- int directionIndex() const
+ void fillAxisData_()
{
- return Dumux::directionIndex(std::move(intersection_.centerUnitOuterNormal()));
+ unsigned int numForwardBackwardAxisDofs = axisData_.inAxisForwardDofs.size();
+ const auto inIdx = intersection_.indexInInside();
+ const auto oppIdx = localOppositeIdx_(inIdx);
+
+ this->axisData_.inAxisForwardDofs.fill(-1);
+ this->axisData_.inAxisBackwardDofs.fill(-1);
+ this->axisData_.inAxisForwardDistances.fill(0);
+ this->axisData_.inAxisBackwardDistances.fill(0);
+
+ // Set the self Dof
+ this->axisData_.selfDof = gridView_.indexSet().subIndex(this->intersection_.inside(), inIdx, codimIntersection);
+ const auto self = getFacet_(inIdx, element_);
+
+ // Set the opposite Dof
+ this->axisData_.oppositeDof = gridView_.indexSet().subIndex(this->intersection_.inside(), oppIdx, codimIntersection);
+ const auto opposite = getFacet_(oppIdx, element_);
+
+ // Set the Self to Opposite Distance
+ this->axisData_.selfToOppositeDistance = (self.geometry().center() - opposite.geometry().center()).two_norm();
+
+ // Set the Forward Dofs
+ std::stack<Element> inAxisForwardElementStack;
+ auto selfFace = getFacet_(inIdx, element_);
+ if(intersection_.neighbor())
+ {
+ inAxisForwardElementStack.push(intersection_.outside());
+ bool keepStackingForward = (inAxisForwardElementStack.size() < numForwardBackwardAxisDofs);
+ while(keepStackingForward)
+ {
+ auto e = inAxisForwardElementStack.top();
+ for(const auto& intersection : intersections(gridView_,e))
+ {
+ if( (intersection.indexInInside() == inIdx ) )
+ {
+ if( intersection.neighbor())
+ {
+ inAxisForwardElementStack.push(intersection.outside());
+ keepStackingForward = (inAxisForwardElementStack.size() < numForwardBackwardAxisDofs);
+ }
+ else
+ {
+ keepStackingForward = false;
+ }
+ }
+ }
+ }
+ }
+
+ std::vector<GlobalPosition> forwardFaceCoordinates(inAxisForwardElementStack.size(), selfFace.geometry().center());
+ while(!inAxisForwardElementStack.empty())
+ {
+ int forwardIdx = inAxisForwardElementStack.size()-1;
+ this->axisData_.inAxisForwardDofs[forwardIdx] = gridView_.indexSet().subIndex(inAxisForwardElementStack.top(), inIdx, codimIntersection);
+ selfFace = getFacet_(inIdx, inAxisForwardElementStack.top());
+ forwardFaceCoordinates[forwardIdx] = selfFace.geometry().center();
+ inAxisForwardElementStack.pop();
+ }
+
+ for(int i = 0; i< forwardFaceCoordinates.size(); i++)
+ {
+ if(i == 0)
+ {
+ this->axisData_.inAxisForwardDistances[i] = (forwardFaceCoordinates[i] - self.geometry().center()).two_norm();
+ }
+ else
+ {
+ this->axisData_.inAxisForwardDistances[i] = (forwardFaceCoordinates[i]- forwardFaceCoordinates[i-1]).two_norm();
+ }
+ }
+
+ // Set the Backward Dofs
+ std::stack<Element> inAxisBackwardElementStack;
+ auto oppFace = getFacet_(oppIdx, element_);
+ for(const auto& intersection : intersections(gridView_, element_))
+ {
+ if(intersection.indexInInside() == oppIdx)
+ {
+ if(intersection.neighbor())
+ {
+ inAxisBackwardElementStack.push(intersection.outside());
+ bool keepStackingBackward = (inAxisBackwardElementStack.size() < numForwardBackwardAxisDofs);
+ while(keepStackingBackward)
+ {
+ auto e = inAxisBackwardElementStack.top();
+ for(const auto& intersectionOut : intersections(gridView_,e))
+ {
+
+ if( (intersectionOut.indexInInside() == oppIdx ) )
+ {
+ if( intersectionOut.neighbor())
+ {
+ inAxisBackwardElementStack.push(intersectionOut.outside());
+ keepStackingBackward = (inAxisBackwardElementStack.size() < numForwardBackwardAxisDofs);
+ }
+ else
+ {
+ keepStackingBackward = false;
+ }
+ }
+ }
+ }
+ }
+ }
+ }
+
+ std::vector<GlobalPosition> backwardFaceCoordinates(inAxisBackwardElementStack.size(), oppFace.geometry().center());
+ while(!inAxisBackwardElementStack.empty())
+ {
+ int backwardIdx = inAxisBackwardElementStack.size()-1;
+ this->axisData_.inAxisBackwardDofs[backwardIdx] = gridView_.indexSet().subIndex(inAxisBackwardElementStack.top(), oppIdx, codimIntersection);
+ oppFace = getFacet_(oppIdx, inAxisBackwardElementStack.top());
+ backwardFaceCoordinates[backwardIdx] = oppFace.geometry().center();
+ inAxisBackwardElementStack.pop();
+ }
+
+ for(int i = 0; i< backwardFaceCoordinates.size(); i++)
+ {
+ if(i == 0)
+ {
+ this->axisData_.inAxisBackwardDistances[i] = (backwardFaceCoordinates[i] - opposite.geometry().center()).two_norm();
+ }
+ else
+ {
+ this->axisData_.inAxisBackwardDistances[i] = (backwardFaceCoordinates[i] - backwardFaceCoordinates[i-1]).two_norm();
+ }
+ }
}
-private:
- /*!
+ /*!
* \brief Fills all entries of the pair data
*/
void fillPairData_()
{
- const int localFacetIdx = intersection_.indexInInside();
-
// initialize values that could remain unitialized if the intersection lies on a boundary
for(auto& data : pairData_)
{
- data.outerParallelFaceDofIdx = -1;
+ // parallel Dofs
+ data.parallelDofs.fill(-1);
+
+ // parallel Distances
+ data.parallelDistances.fill(0.0);
+
+ // outer normals
data.normalPair.second = -1;
- data.normalDistance = -1;
- data.parallelDistance = -1;
}
- // set the inner parts of the normal pairs
- const auto localIndices = getLocalIndices_(localFacetIdx);
- setInnerIndices_(localIndices);
-
- // get the positions of the faces normal to the intersection within the element
- innerNormalFacePos_.reserve(numPairs);
+ unsigned int numParallelFaces = pairData_[0].parallelDistances.size();
+ // set basic global positions
+ const auto& elementCenter = this->element_.geometry().center();
+ const auto& FacetCenter = intersection_.geometry().center();
- for(int i = 0; i < numPairs; ++i)
+ // get the inner normal Dof Index
+ int numPairInnerNormalIdx = 0;
+ for(const auto& innerElementIntersection : intersections(gridView_, element_))
{
- const auto& innerNormalFacet = getFacet_(localIndices.normalLocalDofIdx[i], element_);
- innerNormalFacePos_.emplace_back(innerNormalFacet.geometry().center());
+ if(facetIsNormal_(innerElementIntersection.indexInInside(), intersection_.indexInInside()))
+ {
+ const int innerElementIntersectionIdx = innerElementIntersection.indexInInside();
+ setNormalPairFirstInfo_(innerElementIntersectionIdx, element_, numPairInnerNormalIdx);
+ numPairInnerNormalIdx++;
+
+ innerNormalFacePos_.reserve(numPairs);
+ const auto& innerNormalFacet = getFacet_(innerElementIntersection.indexInInside(), element_);
+ innerNormalFacePos_.emplace_back(innerNormalFacet.geometry().center());
+ }
}
- // go into the direct neighbor element
+ // get the outer normal Dof Index
+ int numPairOuterNormalIdx = 0;
if(intersection_.neighbor())
{
// the direct neighbor element and the respective intersection index
@@ -202,60 +347,94 @@ private:
for(const auto& directNeighborElementIntersection : intersections(gridView_, directNeighborElement))
{
-
- const int directNeighborElemIsIdx = directNeighborElementIntersection.indexInInside();
// skip the directly neighboring face itself and its opposing one
- if(facetIsNormal_(directNeighborElemIsIdx, intersection_.indexInOutside()))
+ if(facetIsNormal_(directNeighborElementIntersection.indexInInside(), intersection_.indexInOutside()))
{
- setPairInfo_(directNeighborElemIsIdx, directNeighborElement, false);
-
- // go into the adjacent neighbor element to get parallel dof info
- if(directNeighborElementIntersection.neighbor())
- {
- const auto& diagonalNeighborElement = directNeighborElementIntersection.outside();
- for(const auto& dIs : intersections(gridView_, diagonalNeighborElement))
- {
- if(facetIsNormal_(dIs.indexInInside(), directNeighborElementIntersection.indexInOutside()))
- setPairInfo_(dIs.indexInInside(), diagonalNeighborElement, true);
- }
- }
+ const int directNeighborElemIsIdx = directNeighborElementIntersection.indexInInside();
+ setNormalPairSecondInfo_(directNeighborElemIsIdx, directNeighborElement, numPairOuterNormalIdx);
+ numPairOuterNormalIdx++;
}
}
}
else // intersection is on boundary
{
- // find an intersection normal to the face
- for(const auto& normalIntersection : intersections(gridView_, element_))
+ // fill the normal pair entries
+ for(int pairIdx = 0; pairIdx < numPairs; ++pairIdx)
{
- if(facetIsNormal_(normalIntersection.indexInInside(), intersection_.indexInInside()) && normalIntersection.neighbor())
+ assert(pairData_[pairIdx].normalPair.second == -1);
+ const auto distance = FacetCenter - elementCenter;
+ this->pairData_[pairIdx].normalDistance = std::move(distance.two_norm());
+ numPairOuterNormalIdx++;
+ }
+ }
+
+ // get the parallel Dofs
+ const int parallelLocalIdx = intersection_.indexInInside();
+ int numPairParallelIdx = 0;
+ std::stack<Element> parallelElementStack;
+ for(const auto& intersection : intersections(gridView_, element_))
+ {
+ if( facetIsNormal_(intersection.indexInInside(), parallelLocalIdx) )
+ {
+ if( intersection.neighbor() )
{
- const auto& neighborElement = normalIntersection.outside();
+ auto parallelAxisIdx = directionIndex(intersection);
+ auto localNormalIntersectionIndex = intersection.indexInInside();
+ parallelElementStack.push(element_);
- for(const auto& neighborElementIs : intersections(gridView_, neighborElement))
+ bool keepStacking = (parallelElementStack.size() < numParallelFaces);
+ while(keepStacking)
{
- // iterate over facets sub-entities
- if(facetIsNormal_(normalIntersection.indexInInside(), neighborElementIs.indexInInside()))
- setPairInfo_(neighborElementIs.indexInInside(), neighborElement, true);
+ auto e = parallelElementStack.top();
+ for(const auto& normalIntersection : intersections(gridView_, e))
+ {
+ if( normalIntersection.indexInInside() == localNormalIntersectionIndex )
+ {
+ if( normalIntersection.neighbor() )
+ {
+ parallelElementStack.push(normalIntersection.outside());
+ keepStacking = (parallelElementStack.size() < numParallelFaces);
+ }
+ else
+ {
+ keepStacking = false;
+ }
+ }
+ }
}
+
+ while(!parallelElementStack.empty())
+ {
+ if(parallelElementStack.size() > 1)
+ {
+ this->pairData_[numPairParallelIdx].parallelDofs[parallelElementStack.size()-2] = gridView_.indexSet().subIndex(parallelElementStack.top(), parallelLocalIdx, codimIntersection);
+ }
+ this->pairData_[numPairParallelIdx].parallelDistances[parallelElementStack.size()-1] = setParallelPairDistances_(parallelElementStack.top(), parallelAxisIdx);
+ parallelElementStack.pop();
+ }
+
}
- }
+ else
+ {
+ // If the intersection has no neighbor we have to deal with the virtual outer parallel dof
+ const auto& elementCenter = this->element_.geometry().center();
+ const auto& boundaryFacetCenter = intersection.geometry().center();
- // fill the normal pair entries
- for(int pairIdx = 0; pairIdx < numPairs; ++pairIdx)
- {
- assert(pairData_[pairIdx].normalPair.second == -1);
- const auto& elementCenter = this->element_.geometry().center();
- const auto& boundaryFacetCenter = intersection_.geometry().center();
- const auto distance = boundaryFacetCenter - elementCenter;
+ const auto distance = boundaryFacetCenter - elementCenter;
+ const auto virtualFirstParallelFaceDofPos = this->intersection_.geometry().center() + distance;
+
+ this->pairData_[numPairParallelIdx].virtualFirstParallelFaceDofPos = std::move(virtualFirstParallelFaceDofPos);
- pairData_[pairIdx].normalDistance = std::move(distance.two_norm());
+ // The distance is saved doubled because with scvf.cellCenteredSelfToFirstParallelDistance
+ // an average between parallelDistances[0] and parallelDistances[1] will be computed
+ this->pairData_[numPairParallelIdx].parallelDistances[0] = std::move(distance.two_norm() * 2);
+ }
+ numPairParallelIdx++;
}
}
-
- treatVirtualOuterParallelFaceDofs_();
}
- /*!
+ /*!
* \brief Returns the local opposing intersection index
*
* \param idx The local index of the intersection itself
@@ -265,7 +444,7 @@ private:
return (idx % 2) ? (idx - 1) : (idx + 1);
}
- /*!
+ /*!
* \brief Returns true if the intersection lies normal to another given intersection
*
* \param selfIdx The local index of the intersection itself
@@ -276,198 +455,79 @@ private:
return !(selfIdx == otherIdx || localOppositeIdx_(selfIdx) == otherIdx);
};
- /*!
- * \brief Returns the global index of the common entity
- *
- * \param localIdx The local index of the common entity
- * \param element The element
- */
- int localToGlobalCommonEntityIdx_(const int localIdx, const Element& element) const
- {
- return this->gridView_.indexSet().subIndex(element, localIdx, codimCommonEntity);
- };
-
auto getFacet_(const int localFacetIdx, const Element& element) const
{
return element.template subEntity <1> (localFacetIdx);
};
- void setPairInfo_(const int isIdx, const Element& element, const bool isParallel)
+ //! Sets the information about the normal faces (within the element)
+ void setNormalPairFirstInfo_(const int isIdx, const Element& element, const int numPairsIdx)
{
- const auto referenceElement = ReferenceElements::general(element_.geometry().type());
+ // store the inner normal dofIdx
+ auto& dofIdx = pairData_[numPairsIdx].normalPair.first;
+ dofIdx = gridView_.indexSet().subIndex(element, isIdx, codimIntersection);
- // iterate over facets sub-entities
- for(int i = 0; i < numFacetSubEntities; ++i)
- {
- int localCommonEntIdx = referenceElement.subEntity(isIdx, 1, i, codimCommonEntity);
- int globalCommonEntIdx = localToGlobalCommonEntityIdx_(localCommonEntIdx, element);
-
- // fill the normal pair entries
- for(int pairIdx = 0; pairIdx < numPairs; ++pairIdx)
- {
- if(globalCommonEntIdx == pairData_[pairIdx].globalCommonEntIdx)
- {
- auto& dofIdx = isParallel ? pairData_[pairIdx].outerParallelFaceDofIdx : pairData_[pairIdx].normalPair.second;
- dofIdx = gridView_.indexSet().subIndex(element, isIdx, codimIntersection);
- if(isParallel)
- {
- const auto& selfFacet = getFacet_(intersection_.indexInInside(), element_);
- const auto& parallelFacet = getFacet_(isIdx, element);
- pairData_[pairIdx].parallelDistance = (selfFacet.geometry().center() - parallelFacet.geometry().center()).two_norm();
- }
- else
- {
- const auto& outerNormalFacet = getFacet_(isIdx, element);
- const auto outerNormalFacetPos = outerNormalFacet.geometry().center();
- pairData_[pairIdx].normalDistance = (innerNormalFacePos_[pairIdx] - outerNormalFacetPos).two_norm();
- }
- }
- }
- }
+ // store the local normal facet index
+ this->pairData_[numPairsIdx].localNormalFaceIdx = isIdx;
}
- template<class Indices>
- void setInnerIndices_(const Indices& indices)
+ //! Sets the information about the normal faces (in the neighbor element)
+ void setNormalPairSecondInfo_(const int isIdx, const Element& element, const int numPairsIdx)
{
- for(int i = 0; i < numPairs; ++i)
- {
- this->pairData_[i].normalPair.first = this->gridView_.indexSet().subIndex(this->intersection_.inside(), indices.normalLocalDofIdx[i], codimIntersection);
- this->pairData_[i].globalCommonEntIdx = this->gridView_.indexSet().subIndex(this->intersection_.inside(), indices.localCommonEntIdx[i], codimCommonEntity);
- this->pairData_[i].localNormalFaceIdx = indices.normalLocalDofIdx[i];
- }
+ // store the dofIdx
+ auto& dofIdx = pairData_[numPairsIdx].normalPair.second;
+ dofIdx = gridView_.indexSet().subIndex(element, isIdx, codimIntersection);
+
+ // store the element distance
+ const auto& outerNormalFacet = getFacet_(isIdx, element);
+ const auto outerNormalFacetPos = outerNormalFacet.geometry().center();
+ const auto& innerNormalFacet = getFacet_(isIdx, element_);
+ const auto innerNormalFacetPos = innerNormalFacet.geometry().center();
+ this->pairData_[numPairsIdx].normalDistance = (innerNormalFacetPos - outerNormalFacetPos).two_norm();
}
- /*!
- * \brief Sets the position of "virtual" dofs on facets which are perpendicular to facets on the domain boundary.
- * This is required to account e.g. for wall friction.
- */
- void treatVirtualOuterParallelFaceDofs_()
+ //! Sets the information about the parallel distances
+ Scalar setParallelPairDistances_(const Element& element, const int parallelAxisIdx) const
{
- // get the local index of the facet we are dealing with in this class
- const int localIntersectionIdx = this->intersection_.indexInInside();
-
- // iterate over all intersections of the element, this facet is part of
- for(const auto& is : intersections(this->gridView_, this->element_))
+ Scalar distance = 0;
+ std::vector<GlobalPosition> faces;
+ faces.reserve(numfacets);
+ for (const auto& intElement : intersections(gridView_, element))
{
- const int otherIsIdx = is.indexInInside();
- // check if any of these intersection, which are normal to our facet, lie on the domain boundary
- if(( !is.neighbor() ) && this->facetIsNormal_(localIntersectionIdx, otherIsIdx) )
- {
- const auto& elementCenter = this->element_.geometry().center();
- const auto& boundaryFacetCenter = is.geometry().center();
-
- const auto distance = boundaryFacetCenter - elementCenter;
- const auto virtualOuterParallelFaceDofPos = this->intersection_.geometry().center() + distance;
-
- auto foundCorrectIdx = [otherIsIdx](const auto& x) { return x.localNormalFaceIdx == otherIsIdx; };
- const int index = std::find_if(this->pairData_.begin(), this->pairData_.end(), foundCorrectIdx) - this->pairData_.begin();
-
- this->pairData_[index].virtualOuterParallelFaceDofPos = std::move(virtualOuterParallelFaceDofPos);
- this->pairData_[index].parallelDistance = std::move(distance.two_norm());
- }
+ faces.push_back(intElement.geometry().center());
}
- }
-
- auto getLocalIndices_(const int localFacetIdx) const
- {
- struct Indices
- {
- std::array<int, numPairs> normalLocalDofIdx;
- std::array<int, numPairs> localCommonEntIdx;
- };
-
- Indices indices;
- if (dim == 1)
- return indices;
-
- switch(localFacetIdx)
+ switch(parallelAxisIdx)
{
case 0:
- indices.normalLocalDofIdx[0] = 3;
- indices.normalLocalDofIdx[1] = 2;
- indices.localCommonEntIdx[0] = 2;
- indices.localCommonEntIdx[1] = 0;
- if(dim == 3)
- {
- indices.normalLocalDofIdx[2] = 4;
- indices.normalLocalDofIdx[3] = 5;
- indices.localCommonEntIdx[2] = 4;
- indices.localCommonEntIdx[3] = 8;
- }
- break;
+ {
+ distance = (faces[1] - faces[0]).two_norm();
+ break;
+ }
case 1:
- indices.normalLocalDofIdx[0] = 2;
- indices.normalLocalDofIdx[1] = 3;
- indices.localCommonEntIdx[0] = 1;
- indices.localCommonEntIdx[1] = 3;
- if(dim == 3)
- {
- indices.normalLocalDofIdx[2] = 4;
- indices.normalLocalDofIdx[3] = 5;
- indices.localCommonEntIdx[2] = 5;
- indices.localCommonEntIdx[3] = 9;
- }
- break;
+ {
+ distance = (faces[3] - faces[2]).two_norm();
+ break;
+ }
case 2:
- indices.normalLocalDofIdx[0] = 0;
- indices.normalLocalDofIdx[1] = 1;
- indices.localCommonEntIdx[0] = 0;
- indices.localCommonEntIdx[1] = 1;
- if(dim == 3)
- {
- indices.normalLocalDofIdx[2] = 4;
- indices.normalLocalDofIdx[3] = 5;
- indices.localCommonEntIdx[2] = 6;
- indices.localCommonEntIdx[3] = 10;
- }
- break;
- case 3:
- indices.normalLocalDofIdx[0] = 1;
- indices.normalLocalDofIdx[1] = 0;
- indices.localCommonEntIdx[0] = 3;
- indices.localCommonEntIdx[1] = 2;
- if(dim == 3)
- {
- indices.normalLocalDofIdx[2] = 4;
- indices.normalLocalDofIdx[3] = 5;
- indices.localCommonEntIdx[2] = 7;
- indices.localCommonEntIdx[3] = 11;
- }
- break;
- case 4:
- assert(dim == 3);
- indices.normalLocalDofIdx[0] = 0;
- indices.normalLocalDofIdx[1] = 1;
- indices.normalLocalDofIdx[2] = 3;
- indices.normalLocalDofIdx[3] = 2;
- indices.localCommonEntIdx[0] = 4;
- indices.localCommonEntIdx[1] = 5;
- indices.localCommonEntIdx[2] = 7;
- indices.localCommonEntIdx[3] = 6;
- break;
- case 5:
+ {
assert(dim == 3);
- indices.normalLocalDofIdx[0] = 0;
- indices.normalLocalDofIdx[1] = 1;
- indices.normalLocalDofIdx[2] = 2;
- indices.normalLocalDofIdx[3] = 3;
- indices.localCommonEntIdx[0] = 8;
- indices.localCommonEntIdx[1] = 9;
- indices.localCommonEntIdx[2] = 10;
- indices.localCommonEntIdx[3] = 11;
- break;
+ distance = (faces[5] - faces[4]).two_norm();
+ break;
+ }
default:
+ {
DUNE_THROW(Dune::InvalidStateException, "Something went terribly wrong");
+ }
}
- return indices;
+ return distance;
}
- // TODO: check whether to use references here or not
Intersection intersection_; //!< The intersection of interest
const Element element_; //!< The respective element
const typename Element::Geometry elementGeometry_; //!< Reference to the element geometry
- const GridView gridView_;
- std::array<PairData<Scalar, GlobalPosition>, numPairs> pairData_; //!< collection of pair information
+ const GridView gridView_; //!< The grid view
+ AxisData<Scalar, geometryOrder> axisData_; //!< Data related to forward and backward faces
+ std::array<PairData<Scalar, GlobalPosition, geometryOrder>, numPairs> pairData_; //!< Collection of pair information related to normal and parallel faces
std::vector<GlobalPosition> innerNormalFacePos_;
};
diff --git a/dumux/discretization/staggered/freeflow/subcontrolvolumeface.hh b/dumux/discretization/staggered/freeflow/subcontrolvolumeface.hh
index 924c9b897e6e495dbc25a8a13d4de9a88de0e69c..0fa6efc60735a797a487304caea533c7781e9032 100644
--- a/dumux/discretization/staggered/freeflow/subcontrolvolumeface.hh
+++ b/dumux/discretization/staggered/freeflow/subcontrolvolumeface.hh
@@ -51,12 +51,14 @@ class FreeFlowStaggeredSubControlVolumeFace
using Geometry = typename T::Geometry;
using GridIndexType = typename IndexTraits<GV>::GridIndex;
using LocalIndexType = typename IndexTraits<GV>::LocalIndex;
+ using GeometryHelper = FreeFlowStaggeredGeometryHelper<GV>;
using Scalar = typename T::Scalar;
static const int dim = Geometry::mydimension;
static const int dimworld = Geometry::coorddimension;
static constexpr int numPairs = 2 * (dimworld - 1);
+ static constexpr int geometryOrder = GeometryHelper::geometryOrder;
public:
using GlobalPosition = typename T::GlobalPosition;
@@ -73,8 +75,7 @@ public:
const typename Intersection::Geometry& isGeometry,
GridIndexType scvfIndex,
const std::vector<GridIndexType>& scvIndices,
- const GeometryHelper& geometryHelper
- )
+ const GeometryHelper& geometryHelper)
: ParentType(),
geomType_(isGeometry.type()),
area_(isGeometry.volume()),
@@ -83,9 +84,8 @@ public:
scvfIndex_(scvfIndex),
scvIndices_(scvIndices),
boundary_(is.boundary()),
- dofIdx_(geometryHelper.dofIndex()),
- dofIdxOpposingFace_(geometryHelper.dofIndexOpposingFace()),
- selfToOppositeDistance_(geometryHelper.selfToOppositeDistance()),
+
+ axisData_(geometryHelper.axisData()),
pairData_(geometryHelper.pairData()),
localFaceIdx_(geometryHelper.localFaceIndex()),
dirIdx_(geometryHelper.directionIndex()),
@@ -110,7 +110,7 @@ public:
selfToOppositeDistance_(0.0),
dirIdx_(dirIdx),
isGhostFace_(true)
- {}
+ { axisData_.selfDof = dofIdx; }
//! The center of the sub control volume face
const GlobalPosition& center() const
@@ -181,18 +181,6 @@ public:
return Geometry(geomType_, corners_);
}
- //! The global index of the dof living on this face
- GridIndexType dofIndex() const
- {
- return dofIdx_;
- }
-
- //! The global index of the dof living on the opposing face
- GridIndexType dofIndexOpposingFace() const
- {
- return dofIdxOpposingFace_;
- }
-
//! The local index of this sub control volume face
LocalIndexType localFaceIdx() const
{
@@ -205,12 +193,6 @@ public:
return dirIdx_;
}
- //! The distance between the position of the dof itself and the one of the oppsing dof
- Scalar selfToOppositeDistance() const
- {
- return selfToOppositeDistance_;
- }
-
//! Returns whether the unitNormal of the face points in positive coordinate direction
bool normalInPosCoordDir() const
{
@@ -224,7 +206,7 @@ public:
}
//! Returns the data for one sub face
- const PairData<Scalar, GlobalPosition>& pairData(const int idx) const
+ const PairData<Scalar, GlobalPosition, geometryOrder>& pairData(const int idx) const
{
return pairData_[idx];
}
@@ -235,21 +217,102 @@ public:
return pairData_;
}
+ //! Return an array of all pair data
+ const auto& axisData() const
+ {
+ return axisData_;
+ }
+
+ //! Returns @c true if the face is a ghost face
bool isGhostFace() const
{
return isGhostFace_;
}
- bool hasParallelNeighbor(const int localFaceIdx) const
+ /*!
+ * \brief Check if the face has a parallel neighbor
+ *
+ * \param localSubFaceIdx The local index of the subface
+ * \param parallelDegreeIdx The index describing how many faces away from the self face
+ */
+ bool hasParallelNeighbor(const int localSubFaceIdx, const int parallelDegreeIdx) const
+ {
+ return !(pairData(localSubFaceIdx).parallelDofs[parallelDegreeIdx] < 0);
+ }
+
+ /*!
+ * \brief Check if the face has an outer normal neighbor
+ *
+ * \param localSubFaceIdx The local index of the subface
+ */
+ bool hasOuterNormal(const int localSubFaceIdx) const
+ {
+ return !(pairData_[localSubFaceIdx].normalPair.second < 0);
+ }
+
+ /*!
+ * \brief Check if the face has a backward neighbor
+ *
+ * \param backwardIdx The index describing how many faces backward this dof is from the opposite face
+ */
+ bool hasBackwardNeighbor(const int backwardIdx) const
{
- return pairData_[localFaceIdx].outerParallelFaceDofIdx >= 0;
+ return !(axisData().inAxisBackwardDofs[backwardIdx] < 0);
}
- bool hasFrontalNeighbor(const int localFaceIdx) const
+ /*!
+ * \brief Check if the face has a forward neighbor
+ *
+ * \param forwardIdx The index describing how many faces forward this dof is of the self face
+ */
+ bool hasForwardNeighbor(const int forwardIdx) const
{
- return pairData_[localFaceIdx].normalPair.second >= 0;
+ return !(axisData().inAxisForwardDofs[forwardIdx] < 0);
}
+ //! Returns the dof of the face
+ GridIndexType dofIndex() const
+ {
+ return axisData().selfDof;
+ }
+
+ //! Returns the dof of the opposing face
+ GridIndexType dofIndexOpposingFace() const
+ {
+ return axisData().oppositeDof;
+ }
+
+ //! Returns the dof the first forward face
+ GridIndexType dofIndexForwardFace() const
+ {
+ return axisData().inAxisForwardDofs[0];
+ }
+
+ //! Returns the dof of the first backward face
+ GridIndexType dofIndexBackwardFace() const
+ {
+ return axisData().inAxisBackwardDofs[0];
+ }
+
+ //! Returns the distance between the face and the opposite one
+ Scalar selfToOppositeDistance() const
+ {
+ return axisData().selfToOppositeDistance;
+ }
+
+ /*!
+ * \brief Returns the distance between the parallel dofs
+ *
+ * \param localSubFaceIdx The local index of the subface
+ * \param parallelDegreeIdx The index describing how many faces away from the self
+ */
+ Scalar cellCenteredParallelDistance(const int localSubFaceIdx, const int parallelDegreeIdx) const
+ {
+ return (pairData(localSubFaceIdx).parallelDistances[parallelDegreeIdx] +
+ pairData(localSubFaceIdx).parallelDistances[parallelDegreeIdx+1]) * 0.5;
+ }
+
+
private:
Dune::GeometryType geomType_;
std::vector<GlobalPosition> corners_;
@@ -261,10 +324,11 @@ private:
bool boundary_;
int dofIdx_;
- int dofIdxOpposingFace_;
Scalar selfToOppositeDistance_;
- std::array<PairData<Scalar, GlobalPosition>, numPairs> pairData_;
- LocalIndexType localFaceIdx_;
+ AxisData<Scalar, geometryOrder> axisData_;
+ std::array<PairData<Scalar, GlobalPosition, geometryOrder>, numPairs> pairData_;
+
+ int localFaceIdx_;
unsigned int dirIdx_;
int outerNormalSign_;
bool isGhostFace_;
@@ -272,4 +336,4 @@ private:
} // end namespace Dumux
-#endif
+#endif // DUMUX_DISCRETIZATION_STAGGERED_FREE_FLOW_SUBCONTROLVOLUMEFACE_HH
diff --git a/dumux/discretization/staggered/fvgridgeometry.hh b/dumux/discretization/staggered/fvgridgeometry.hh
index bdf0c3fd28814c6e195c80555903d28eb61027b4..2b7e9b22f68f18f07a9b1d2ebc413ddc95f69d7b 100644
--- a/dumux/discretization/staggered/fvgridgeometry.hh
+++ b/dumux/discretization/staggered/fvgridgeometry.hh
@@ -219,7 +219,7 @@ public:
using FVGridGeometryTuple = std::tuple< CellCenterFVGridGeometry<ThisType>, FaceFVGridGeometry<ThisType> >;
//! Constructor
- StaggeredFVGridGeometry(const GridView& gridView)
+ StaggeredFVGridGeometry(const GridView& gridView, const std::string& paramGroup = "")
: ParentType(gridView)
, intersectionMapper_(gridView)
{
@@ -227,6 +227,10 @@ public:
if (!CheckOverlapSize<DiscretizationMethod::staggered>::isValid(gridView))
DUNE_THROW(Dune::InvalidStateException, "The staggered discretization method needs at least an overlap of 1 for parallel computations. "
<< " Set the parameter \"Grid.Overlap\" in the input file.");
+ if (hasParamInGroup(paramGroup, "Discretization.TvdApproach"))
+ stencilOrder_ = 2;
+ else
+ stencilOrder_ = 1;
}
//! The total number of sub control volumes
@@ -247,6 +251,12 @@ public:
return numBoundaryScvf_;
}
+ //! The order of the stencil built
+ std::size_t order() const
+ {
+ return stencilOrder_;
+ }
+
//! The total number of intersections
std::size_t numIntersections() const
{
@@ -341,6 +351,7 @@ public:
}
// build the connectivity map for an effecient assembly
+ connectivityMap_.setStencilOrder(stencilOrder_);
connectivityMap_.update(*this);
}
@@ -412,6 +423,7 @@ private:
// mappers
ConnectivityMap connectivityMap_;
IntersectionMapper intersectionMapper_;
+ int stencilOrder_;
std::vector<SubControlVolume> scvs_;
std::vector<SubControlVolumeFace> scvfs_;
@@ -471,7 +483,7 @@ public:
using FVGridGeometryTuple = std::tuple< CellCenterFVGridGeometry<ThisType>, FaceFVGridGeometry<ThisType> >;
//! Constructor
- StaggeredFVGridGeometry(const GridView& gridView)
+ StaggeredFVGridGeometry(const GridView& gridView, const std::string& paramGroup = "")
: ParentType(gridView)
, intersectionMapper_(gridView)
{
@@ -479,6 +491,10 @@ public:
if (!CheckOverlapSize<DiscretizationMethod::staggered>::isValid(gridView))
DUNE_THROW(Dune::InvalidStateException, "The staggered discretization method needs at least an overlap of 1 for parallel computations. "
<< " Set the parameter \"Grid.Overlap\" in the input file.");
+ if (hasParamInGroup(paramGroup, "Discretization.TvdApproach"))
+ stencilOrder_ = 2;
+ else
+ stencilOrder_ = 1;
}
//! update all fvElementGeometries (do this again after grid adaption)
@@ -531,6 +547,7 @@ public:
}
// build the connectivity map for an effecient assembly
+ connectivityMap_.setStencilOrder(stencilOrder_);
connectivityMap_.update(*this);
}
@@ -546,6 +563,12 @@ public:
return numScvf_;
}
+ //! The order of the stencil built
+ std::size_t order() const
+ {
+ return stencilOrder_;
+ }
+
//! The total number of boundary sub control volume faces
std::size_t numBoundaryScvf() const
{
@@ -629,6 +652,7 @@ private:
// mappers
ConnectivityMap connectivityMap_;
IntersectionMapper intersectionMapper_;
+ int stencilOrder_;
//! vectors that store the global data
std::vector<std::vector<GridIndexType>> scvfIndicesOfScv_;
diff --git a/dumux/discretization/staggered/gridfluxvariablescache.hh b/dumux/discretization/staggered/gridfluxvariablescache.hh
index 5214858f72c0a31f65d42a9e660d860274b7bb2e..3c87372776d2c95922574fc8730da2ef0249097d 100644
--- a/dumux/discretization/staggered/gridfluxvariablescache.hh
+++ b/dumux/discretization/staggered/gridfluxvariablescache.hh
@@ -28,6 +28,8 @@
#include <dumux/discretization/localview.hh>
#include <dumux/discretization/staggered/elementfluxvariablescache.hh>
+#include <dumux/freeflow/higherorderapproximation.hh>
+
namespace Dumux {
/*!
@@ -42,7 +44,6 @@ struct StaggeredDefaultGridFluxVariablesCacheTraits
using Problem = P;
using FluxVariablesCache = FVC;
using FluxVariablesCacheFiller = FVCF;
-
template<class GridFluxVariablesCache, bool cachingEnabled>
using LocalView = StaggeredElementFluxVariablesCache<GridFluxVariablesCache, cachingEnabled>;
};
@@ -72,6 +73,7 @@ class StaggeredGridFluxVariablesCache<P, FVC, FVCF, true, Traits>
public:
//! export the flux variable cache type
using FluxVariablesCache = typename Traits::FluxVariablesCache;
+ using Scalar = typename FluxVariablesCache::Scalar;
//! export the flux variable cache filler type
using FluxVariablesCacheFiller = typename Traits::FluxVariablesCacheFiller;
@@ -82,7 +84,10 @@ public:
//! export the type of the local view
using LocalView = typename Traits::template LocalView<ThisType, cachingEnabled>;
- StaggeredGridFluxVariablesCache(const Problem& problem) : problemPtr_(&problem) {}
+ StaggeredGridFluxVariablesCache(const Problem& problem, const std::string& paramGroup = "")
+ : problemPtr_(&problem)
+ , higherOrderApproximation_(paramGroup)
+ {}
// When global caching is enabled, precompute transmissibilities and stencils for all the scv faces
template<class FVGridGeometry, class GridVolumeVariables, class SolutionVector>
@@ -118,6 +123,12 @@ public:
}
}
+ //! Return the HigherOrderApproximation
+ const HigherOrderApproximation<Scalar>& higherOrderApproximation() const
+ {
+ return higherOrderApproximation_;
+ }
+
const Problem& problem() const
{ return *problemPtr_; }
@@ -130,6 +141,7 @@ public:
private:
const Problem* problemPtr_;
+ HigherOrderApproximation<Scalar> higherOrderApproximation_;
std::vector<FluxVariablesCache> fluxVarsCache_;
std::vector<std::size_t> globalScvfIndices_;
@@ -149,6 +161,7 @@ class StaggeredGridFluxVariablesCache<P, FVC, FVCF, false, Traits>
public:
//! export the flux variable cache type
using FluxVariablesCache = typename Traits::FluxVariablesCache;
+ using Scalar = typename FluxVariablesCache::Scalar;
//! export the flux variable cache filler type
using FluxVariablesCacheFiller = typename Traits::FluxVariablesCacheFiller;
@@ -159,7 +172,10 @@ public:
//! export the type of the local view
using LocalView = typename Traits::template LocalView<ThisType, cachingEnabled>;
- StaggeredGridFluxVariablesCache(const Problem& problem) : problemPtr_(&problem) {}
+ StaggeredGridFluxVariablesCache(const Problem& problem, const std::string& paramGroup = "")
+ : problemPtr_(&problem)
+ , higherOrderApproximation_(paramGroup)
+ {}
// When global caching is enabled, precompute transmissibilities and stencils for all the scv faces
template<class FVGridGeometry, class GridVolumeVariables, class SolutionVector>
@@ -171,10 +187,16 @@ public:
const Problem& problem() const
{ return *problemPtr_; }
-private:
-
+ //! Return the HigherOrderApproximation
+ const HigherOrderApproximation<Scalar>& higherOrderApproximation() const
+ {
+ return higherOrderApproximation_;
+ }
+private:
const Problem* problemPtr_;
+ HigherOrderApproximation<Scalar> higherOrderApproximation_;
+
};
} // end namespace Dumux
diff --git a/dumux/freeflow/CMakeLists.txt b/dumux/freeflow/CMakeLists.txt
index 318f762168f1509c66e1f3c7e1b5f8cac466943e..5f16de206e056526ae1a904c3c0261c80257a51b 100644
--- a/dumux/freeflow/CMakeLists.txt
+++ b/dumux/freeflow/CMakeLists.txt
@@ -7,4 +7,5 @@ install(FILES
properties.hh
turbulenceproperties.hh
volumevariables.hh
+higherorderapproximation.hh
DESTINATION ${CMAKE_INSTALL_INCLUDEDIR}/dumux/freeflow)
diff --git a/dumux/freeflow/higherorderapproximation.hh b/dumux/freeflow/higherorderapproximation.hh
new file mode 100644
index 0000000000000000000000000000000000000000..601bf115d219eec1d22c79af9b71e02e387feee5
--- /dev/null
+++ b/dumux/freeflow/higherorderapproximation.hh
@@ -0,0 +1,460 @@
+// -*- 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 This file contains different higher order methods for approximating the velocity.
+ */
+
+#ifndef DUMUX_HIGHER_ORDER_VELOCITY_APPROXIMATION_HH
+#define DUMUX_HIGHER_ORDER_VELOCITY_APPROXIMATION_HH
+
+#include <cmath>
+#include <functional>
+#include <iostream>
+#include <string>
+
+#include <dumux/common/exceptions.hh>
+
+namespace Dumux {
+
+//! \brief Available Tvd approaches
+enum class TvdApproach
+{
+ none, uniform, li, hou
+};
+
+//! \biraf Available differencing schemes
+enum class DifferencingScheme
+{
+ none, vanleer, vanalbada, minmod, superbee, umist, mclimiter, wahyd
+};
+
+/**
+ * \brief This file contains different higher order methods for approximating the velocity.
+ */
+template<class Scalar>
+class HigherOrderApproximation
+{
+public:
+ HigherOrderApproximation(const std::string& paramGroup = "")
+ {
+ if (hasParamInGroup(paramGroup, "Discretization.TvdApproach"))
+ {
+ // Read the runtime parameters
+ tvdApproach_ = tvdApproachFromString(getParamFromGroup<std::string>(paramGroup, "Discretization.TvdApproach"));
+ differencingScheme_ = differencingSchemeFromString(getParamFromGroup<std::string>(paramGroup, "Discretization.DifferencingScheme"));
+
+ // Assign the limiter_ depending on the differencing scheme
+ switch (differencingScheme_)
+ {
+ case DifferencingScheme::vanleer :
+ {
+ limiter_ = this->vanleer;
+ break;
+ }
+ case DifferencingScheme::vanalbada :
+ {
+ if (tvdApproach_ == TvdApproach::hou)
+ DUNE_THROW(ParameterException, "\nDifferencing scheme (Van Albada) is not implemented for the Tvd approach (Hou).");
+ else
+ limiter_ = this->vanalbada;
+ break;
+ }
+ case DifferencingScheme::minmod :
+ {
+ limiter_ = this->minmod;
+ break;
+ }
+ case DifferencingScheme::superbee :
+ {
+ limiter_ = this->superbee;
+ break;
+ }
+ case DifferencingScheme::umist :
+ {
+ limiter_ = this->umist;
+ break;
+ }
+ case DifferencingScheme::mclimiter :
+ {
+ limiter_ = this->mclimiter;
+ break;
+ }
+ case DifferencingScheme::wahyd :
+ {
+ limiter_ = this->wahyd;
+ break;
+ }
+ default:
+ {
+ DUNE_THROW(ParameterException, "\nDifferencing scheme " << static_cast<std::string>(differencingSchemeToString(differencingScheme_)) <<
+ " is not implemented.\n"); // should never be reached
+ break;
+ }
+ }
+ }
+ else
+ {
+ // If the runtime parameters are not specified we will use upwind
+ tvdApproach_ = TvdApproach::none;
+ differencingScheme_ = DifferencingScheme::none;
+ }
+ }
+
+ /**
+ * \brief Convenience function to convert user input given as std::string
+ * to the corresponding enum class used for choosing the TVD Approach
+ */
+ TvdApproach tvdApproachFromString(const std::string& tvd)
+ {
+ if (tvd == "Uniform") return TvdApproach::uniform;
+ if (tvd == "Li") return TvdApproach::li;
+ if (tvd == "Hou") return TvdApproach::hou;
+ DUNE_THROW(ParameterException, "\nThis tvd approach : \"" << tvd << "\" is not implemented.\n"
+ << "The available TVD approaches for uniform (and nonuniform) grids are as follows: \n"
+ << tvdApproachToString(TvdApproach::uniform) << ": Assumes a uniform cell size distribution\n"
+ << tvdApproachToString(TvdApproach::li) << ": Li's approach for nonuniform cell sizes\n"
+ << tvdApproachToString(TvdApproach::hou) << ": Hou's approach for nonuniform cell sizes");
+ }
+
+ /**
+ * \brief return the name of the TVD approach
+ */
+ std::string tvdApproachToString(TvdApproach tvd)
+ {
+ switch (tvd)
+ {
+ case TvdApproach::uniform: return "Uniform";
+ case TvdApproach::li: return "Li";
+ case TvdApproach::hou: return "Hou";
+ default: return "Invalid"; // should never be reached
+ }
+ }
+
+ /**
+ * \brief Convenience function to convert user input given as std::string
+ * to the corresponding enum class used for choosing the Discretization Method
+ */
+ DifferencingScheme differencingSchemeFromString(const std::string& differencingScheme)
+ {
+ if (differencingScheme == "vanleer") return DifferencingScheme::vanleer;
+ if (differencingScheme == "vanalbada") return DifferencingScheme::vanalbada;
+ if (differencingScheme == "minmod") return DifferencingScheme::minmod;
+ if (differencingScheme == "superbee") return DifferencingScheme::superbee;
+ if (differencingScheme == "umist") return DifferencingScheme::umist;
+ if (differencingScheme == "mclimiter") return DifferencingScheme::mclimiter;
+ if (differencingScheme == "wahyd") return DifferencingScheme::wahyd;
+ DUNE_THROW(ParameterException, "\nThis differencing scheme: \"" << differencingScheme << "\" is not implemented.\n"
+ << "The available differencing schemes are as follows: \n"
+ << differencingSchemeToString(DifferencingScheme::vanleer) << ": The Vanleer flux limiter\n"
+ << differencingSchemeToString(DifferencingScheme::vanalbada) << ": The VanAlbada flux limiter\n"
+ << differencingSchemeToString(DifferencingScheme::minmod) << ": The Min-Mod flux limiter\n"
+ << differencingSchemeToString(DifferencingScheme::superbee) << ": The SuperBEE flux limiter\n"
+ << differencingSchemeToString(DifferencingScheme::umist) << ": The UMist flux limiter\n"
+ << differencingSchemeToString(DifferencingScheme::mclimiter) << ": The McLimiter flux limiter\n"
+ << differencingSchemeToString(DifferencingScheme::wahyd) << ": The Wahyd flux limiter");
+ }
+
+ /**
+ * \brief return the name of the Discretization Method
+ */
+ std::string differencingSchemeToString(DifferencingScheme differencingScheme)
+ {
+ switch (differencingScheme)
+ {
+ case DifferencingScheme::vanleer: return "vanleer";
+ case DifferencingScheme::vanalbada: return "vanalbada";
+ case DifferencingScheme::minmod: return "minmod";
+ case DifferencingScheme::superbee: return "superbee";
+ case DifferencingScheme::umist: return "umist";
+ case DifferencingScheme::mclimiter: return "mclimiter";
+ case DifferencingScheme::wahyd: return "wahyd";
+ default: return "Invalid"; // should never be reached
+ }
+ }
+
+ /**
+ * \brief Upwind Method
+ */
+ Scalar upwind(const Scalar downstreamVelocity,
+ const Scalar upstreamVelocity,
+ const Scalar density,
+ const Scalar upwindWeight) const
+ {
+ return (upwindWeight * upstreamVelocity + (1.0 - upwindWeight) * downstreamVelocity) * density;
+ }
+
+ /**
+ * \brief Central Differencing Method
+ */
+ Scalar centralDifference(const Scalar downstreamVelocity,
+ const Scalar upstreamVelocity,
+ const Scalar density) const
+ {
+ return (0.5 * (upstreamVelocity + downstreamVelocity)) * density;
+ }
+
+ /**
+ * \brief Linear Upwind Method
+ */
+ Scalar linearUpwind(const Scalar upstreamVelocity,
+ const Scalar upUpstreamVelocity,
+ const Scalar upstreamToDownstreamDistance,
+ const Scalar upUpstreamToUpstreamDistance,
+ const Scalar density) const
+ {
+ Scalar zeroOrder = upstreamVelocity;
+ Scalar firstOrder = -1.0 * ((upstreamVelocity - upUpstreamVelocity) / upUpstreamToUpstreamDistance) * ( upstreamToDownstreamDistance / -2.0);
+ return (zeroOrder + firstOrder) * density;
+ }
+
+ /**
+ * \brief QUICK upwinding Scheme: Quadratic Upstream Interpolation for Convective Kinematics
+ */
+ Scalar upwindQUICK(const Scalar downstreamVelocity,
+ const Scalar upstreamVelocity,
+ const Scalar upUpstreamVelocity,
+ const Scalar upstreamToDownstreamDistance,
+ const Scalar upUpstreamToUpstreamDistance,
+ const Scalar density) const
+ {
+ Scalar normalDistance = (upUpstreamToUpstreamDistance + upstreamToDownstreamDistance) / 2.0;
+ Scalar zeroOrder = upstreamVelocity;
+ Scalar firstOrder = ((downstreamVelocity - upstreamVelocity) / 2.0);
+ Scalar secondOrder = -(((downstreamVelocity - upstreamVelocity) / upstreamToDownstreamDistance) - ((upstreamVelocity - upUpstreamVelocity) / upUpstreamToUpstreamDistance))
+ * upstreamToDownstreamDistance * upstreamToDownstreamDistance / (8.0 * normalDistance);
+ return (zeroOrder + firstOrder + secondOrder) * density;
+ }
+
+ /**
+ * \brief Tvd Scheme: Total Variation Diminishing
+ *
+ */
+ Scalar tvd(const Scalar downstreamVelocity,
+ const Scalar upstreamVelocity,
+ const Scalar upUpstreamVelocity,
+ const Scalar upstreamToDownstreamDistance,
+ const Scalar upUpstreamToUpstreamDistance,
+ const Scalar downstreamStaggeredCellSize,
+ const bool selfIsUpstream,
+ const Scalar density,
+ const TvdApproach tvdApproach) const
+ {
+ Scalar momentum = 0.0;
+ switch(tvdApproach)
+ {
+ case TvdApproach::uniform :
+ {
+ momentum += tvdUniform(downstreamVelocity, upstreamVelocity, upUpstreamVelocity, density);
+ break;
+ }
+ case TvdApproach::li :
+ {
+ momentum += tvdLi(downstreamVelocity, upstreamVelocity, upUpstreamVelocity, upstreamToDownstreamDistance, upUpstreamToUpstreamDistance, selfIsUpstream, density);
+ break;
+ }
+ case TvdApproach::hou :
+ {
+ momentum += tvdHou(downstreamVelocity, upstreamVelocity, upUpstreamVelocity, upstreamToDownstreamDistance, upUpstreamToUpstreamDistance, downstreamStaggeredCellSize, density);
+ break;
+ }
+ default:
+ {
+ DUNE_THROW(ParameterException, "\nThis Tvd Approach is not implemented.\n");
+ break;
+ }
+ }
+ return momentum;
+ }
+
+ /**
+ * \brief Tvd Scheme: Total Variation Diminishing
+ *
+ * This function assumes the cell size distribution to be uniform.
+ */
+ Scalar tvdUniform(const Scalar downstreamVelocity,
+ const Scalar upstreamVelocity,
+ const Scalar upUpstreamVelocity,
+ const Scalar density) const
+ {
+ using std::isfinite;
+ const Scalar ratio = (upstreamVelocity - upUpstreamVelocity) / (downstreamVelocity - upstreamVelocity);
+
+ // If the velocity field is uniform (like at the first newton step) we get a NaN
+ if(ratio > 0.0 && isfinite(ratio))
+ {
+ const Scalar secondOrderTerm = 0.5 * limiter_(ratio, 2.0) * (downstreamVelocity - upstreamVelocity);
+ return density * (upstreamVelocity + secondOrderTerm);
+ }
+ else
+ return density * upstreamVelocity;
+ }
+
+ /**
+ * \brief Tvd Scheme: Total Variation Diminishing
+ *
+ * This function manages the non uniformities of the grid according to [Li, Liao 2007].
+ * It tries to reconstruct the value for the velocity at the upstream-upstream point
+ * if the grid was uniform.
+ */
+ Scalar tvdLi(const Scalar downstreamVelocity,
+ const Scalar upstreamVelocity,
+ const Scalar upUpstreamVelocity,
+ const Scalar upstreamToDownstreamDistance,
+ const Scalar upUpstreamToUpstreamDistance,
+ const bool selfIsUpstream,
+ const Scalar density) const
+ {
+ using std::isfinite;
+ // I need the information of selfIsUpstream to get the correct sign because upUpstreamToUpstreamDistance is always positive
+ const Scalar upUpstreamGradient = (upstreamVelocity - upUpstreamVelocity) / upUpstreamToUpstreamDistance * selfIsUpstream;
+
+ // Distance between the upUpstream node and the position where it should be if the grid were uniform.
+ const Scalar correctionDistance = upUpstreamToUpstreamDistance - upstreamToDownstreamDistance;
+ const Scalar reconstrutedUpUpstreamVelocity = upUpstreamVelocity + upUpstreamGradient * correctionDistance;
+ const Scalar ratio = (upstreamVelocity - reconstrutedUpUpstreamVelocity) / (downstreamVelocity - upstreamVelocity);
+
+ // If the velocity field is uniform (like at the first newton step) we get a NaN
+ if(ratio > 0.0 && isfinite(ratio))
+ {
+ const Scalar secondOrderTerm = 0.5 * limiter_(ratio, 2.0) * (downstreamVelocity - upstreamVelocity);
+ return density * (upstreamVelocity + secondOrderTerm);
+ }
+ else
+ return density * upstreamVelocity;
+ }
+
+ /**
+ * \brief Tvd Scheme: Total Variation Diminishing
+ *
+ * This function manages the non uniformities of the grid according to [Hou, Simons, Hinkelmann 2007].
+ * It should behave better then the Li's version in very stretched grids.
+ */
+ Scalar tvdHou(const Scalar downstreamVelocity,
+ const Scalar upstreamVelocity,
+ const Scalar upUpstreamVelocity,
+ const Scalar upstreamToDownstreamDistance,
+ const Scalar upUpstreamToUpstreamDistance,
+ const Scalar downstreamStaggeredCellSize,
+ const Scalar density) const
+ {
+ using std::isfinite;
+ const Scalar ratio = (upstreamVelocity - upUpstreamVelocity) / (downstreamVelocity - upstreamVelocity)
+ * upstreamToDownstreamDistance / upUpstreamToUpstreamDistance;
+
+ // If the velocity field is uniform (like at the first newton step) we get a NaN
+ if(ratio > 0.0 && isfinite(ratio))
+ {
+ const Scalar upstreamStaggeredCellSize = 0.5 * (upstreamToDownstreamDistance + upUpstreamToUpstreamDistance);
+ const Scalar R = (upstreamStaggeredCellSize + downstreamStaggeredCellSize) / upstreamStaggeredCellSize;
+ const Scalar secondOrderTerm = limiter_(ratio, R) / R * (downstreamVelocity - upstreamVelocity);
+ return density * (upstreamVelocity + secondOrderTerm);
+ }
+ else
+ return density * upstreamVelocity;
+ }
+
+ /**
+ * \brief Van Leer flux limiter function [Van Leer 1974]
+ *
+ * With R != 2 is the modified Van Leer flux limiter function [Hou, Simons, Hinkelmann 2007]
+ */
+ static Scalar vanleer(const Scalar r, const Scalar R)
+ {
+ return R * r / (R - 1.0 + r);
+ }
+
+ /**
+ * \brief Van Albada flux limiter function [Van Albada et al. 1982]
+ */
+ static Scalar vanalbada(const Scalar r, const Scalar R)
+ {
+ return r * (r + 1.0) / (1.0 + r * r);
+ }
+
+ /**
+ * \brief MinMod flux limiter function [Roe 1985]
+ */
+ static Scalar minmod(const Scalar r, const Scalar R)
+ {
+ using std::min;
+ return min(r, 1.0);
+ }
+
+ /**
+ * \brief SUPERBEE flux limiter function [Roe 1985]
+ *
+ * With R != 2 is the modified SUPERBEE flux limiter function [Hou, Simons, Hinkelmann 2007]
+ */
+ static Scalar superbee(const Scalar r, const Scalar R)
+ {
+ using std::min;
+ using std::max;
+ return max(min(R * r, 1.0), min(r, R));
+ }
+
+ /**
+ * \brief UMIST flux limiter function [Lien and Leschziner 1993]
+ */
+ static Scalar umist(const Scalar r, const Scalar R)
+ {
+ using std::min;
+ return min({R * r, (r * (5.0 - R) + R - 1.0) / 4.0, (r * (R - 1.0) + 5.0 - R) / 4.0, R});
+ }
+
+ /*
+ * \brief Monotonized-Central limiter [Van Leer 1977]
+ */
+ static Scalar mclimiter(const Scalar r, const Scalar R)
+ {
+ using std::min;
+ return min({R * r, (r + 1.0) / 2.0, R});
+ }
+
+ /**
+ * \brief WAHYD Scheme [Hou, Simons, Hinkelmann 2007];
+ */
+ static Scalar wahyd(const Scalar r, const Scalar R)
+ {
+ using std::min;
+ return r > 1 ? min((r + R * r * r) / (R + r * r), R)
+ : vanleer(r, R);
+ }
+
+ //! Returns the Tvd approach
+ const TvdApproach& tvdApproach() const
+ {
+ return tvdApproach_;
+ }
+
+ //! Returns the differencing scheme
+ const DifferencingScheme& differencingScheme() const
+ {
+ return differencingScheme_;
+ }
+
+private:
+ TvdApproach tvdApproach_;
+ DifferencingScheme differencingScheme_;
+
+ std::function<Scalar(const Scalar, const Scalar)> limiter_;
+};
+
+} // end namespace Dumux
+
+#endif // DUMUX_HIGHER_ORDER_VELOCITY_APPROXIMATION_HH
diff --git a/dumux/freeflow/navierstokes/fluxvariablescache.hh b/dumux/freeflow/navierstokes/fluxvariablescache.hh
index 9f1c6ff9144b43bd215198fbaf2441212393eda0..a7651c0496c53499ea4843b6fe1b8b439956ee0f 100644
--- a/dumux/freeflow/navierstokes/fluxvariablescache.hh
+++ b/dumux/freeflow/navierstokes/fluxvariablescache.hh
@@ -59,6 +59,8 @@ class FreeFlowFluxVariablesCacheImplementation<TypeTag, DiscretizationMethod::st
using Element = typename GridView::template Codim<0>::Entity;
public:
+ using Scalar = GetPropType<TypeTag, Properties::Scalar>;
+
//! Do nothing for the staggered grid specialization.
void update(const Problem& problem,
const Element& element,
diff --git a/dumux/freeflow/navierstokes/problem.hh b/dumux/freeflow/navierstokes/problem.hh
index 58922e3fc8b2cece2feeb7f85a5858cfb7c0832e..d16dfbfe62318301ff529aab7a11a0ca2c9f30a4 100644
--- a/dumux/freeflow/navierstokes/problem.hh
+++ b/dumux/freeflow/navierstokes/problem.hh
@@ -28,6 +28,7 @@
#include <dumux/common/properties.hh>
#include <dumux/common/staggeredfvproblem.hh>
#include <dumux/discretization/method.hh>
+
#include "model.hh"
namespace Dumux {
@@ -215,7 +216,7 @@ public:
using std::sqrt;
const Scalar K = asImp_().permeability(element, normalFace);
const Scalar alpha = asImp_().alphaBJ(normalFace);
- return velocitySelf / (alpha / sqrt(K) * scvf.pairData(localSubFaceIdx).parallelDistance + 1.0);
+ return velocitySelf / (alpha / sqrt(K) * scvf.cellCenteredParallelDistance(localSubFaceIdx,0) + 1.0);
}
private:
diff --git a/dumux/freeflow/navierstokes/staggered/fluxvariables.hh b/dumux/freeflow/navierstokes/staggered/fluxvariables.hh
index 5bf038741a1b122e14e45804fce996d0d40c228c..a39cd4824f2866c0e120b8c90e98ab13e3781b03 100644
--- a/dumux/freeflow/navierstokes/staggered/fluxvariables.hh
+++ b/dumux/freeflow/navierstokes/staggered/fluxvariables.hh
@@ -24,10 +24,15 @@
#ifndef DUMUX_NAVIERSTOKES_STAGGERED_FLUXVARIABLES_HH
#define DUMUX_NAVIERSTOKES_STAGGERED_FLUXVARIABLES_HH
+#include <array>
+
#include <dumux/common/math.hh>
+#include <dumux/common/exceptions.hh>
#include <dumux/common/parameters.hh>
#include <dumux/common/properties.hh>
+#include <dumux/freeflow/higherorderapproximation.hh>
+
#include <dumux/flux/fluxvariablesbase.hh>
#include <dumux/discretization/method.hh>
@@ -102,7 +107,7 @@ public:
{
const Scalar velocity = elemFaceVars[scvf].velocitySelf();
const bool insideIsUpstream = scvf.directionSign() == sign(velocity);
- static const Scalar upWindWeight = getParamFromGroup<Scalar>(problem.paramGroup(), "Flux.UpwindWeight");
+ static const Scalar upwindWeight = getParamFromGroup<Scalar>(problem.paramGroup(), "Flux.UpwindWeight");
const auto& insideVolVars = elemVolVars[scvf.insideScvIdx()];
const auto& outsideVolVars = elemVolVars[scvf.outsideScvIdx()];
@@ -110,8 +115,8 @@ public:
const auto& upstreamVolVars = insideIsUpstream ? insideVolVars : outsideVolVars;
const auto& downstreamVolVars = insideIsUpstream ? outsideVolVars : insideVolVars;
- const Scalar flux = (upWindWeight * upwindTerm(upstreamVolVars) +
- (1.0 - upWindWeight) * upwindTerm(downstreamVolVars))
+ const Scalar flux = (upwindWeight * upwindTerm(upstreamVolVars) +
+ (1.0 - upwindWeight) * upwindTerm(downstreamVolVars))
* velocity * scvf.area() * scvf.directionSign();
return flux * extrusionFactor_(elemVolVars, scvf);
@@ -158,10 +163,11 @@ public:
const SubControlVolumeFace& scvf,
const FVElementGeometry& fvGeometry,
const ElementVolumeVariables& elemVolVars,
- const ElementFaceVariables& elemFaceVars)
+ const ElementFaceVariables& elemFaceVars,
+ const GridFluxVariablesCache& gridFluxVarsCache)
{
- return computeFrontalMomentumFlux(problem, element, scvf, fvGeometry, elemVolVars, elemFaceVars) +
- computeLateralMomentumFlux(problem, element, scvf, fvGeometry, elemVolVars, elemFaceVars);
+ return computeFrontalMomentumFlux(problem, element, scvf, fvGeometry, elemVolVars, elemFaceVars, gridFluxVarsCache) +
+ computeLateralMomentumFlux(problem, element, scvf, fvGeometry, elemVolVars, elemFaceVars, gridFluxVarsCache);
}
/*!
@@ -186,13 +192,15 @@ public:
const SubControlVolumeFace& scvf,
const FVElementGeometry& fvGeometry,
const ElementVolumeVariables& elemVolVars,
- const ElementFaceVariables& elemFaceVars)
+ const ElementFaceVariables& elemFaceVars,
+ const GridFluxVariablesCache& gridFluxVarsCache)
{
FacePrimaryVariables frontalFlux(0.0);
// The velocities of the dof at interest and the one of the opposite scvf.
const Scalar velocitySelf = elemFaceVars[scvf].velocitySelf();
const Scalar velocityOpposite = elemFaceVars[scvf].velocityOpposite();
+ static const Scalar upwindWeight = getParamFromGroup<Scalar>(problem.paramGroup(), "Flux.UpwindWeight");
// The volume variables within the current element. We only require those (and none of neighboring elements)
// because the fluxes are calculated over the staggered face at the center of the element.
@@ -207,17 +215,36 @@ public:
// Check if the the velocity of the dof at interest lies up- or downstream w.r.t. to the transporting velocity.
const bool selfIsUpstream = scvf.directionSign() != sign(transportingVelocity);
- // Lamba function to evaluate the transported momentum, regarding an user-specified upwind weight.
- auto computeMomentum = [&insideVolVars, &problem](const Scalar upstreamVelocity, const Scalar downstreamVelocity)
- {
- static const Scalar upwindWeight = getParamFromGroup<Scalar>(problem.paramGroup(), "Flux.UpwindWeight");
- return (upwindWeight * upstreamVelocity + (1.0 - upwindWeight) * downstreamVelocity) * insideVolVars.density();
- };
+ Scalar momentum = 0.0;
+
+ // Variables that will store the velocities of interest:
+ // velocities[0]: downstream velocity
+ // velocities[1]: upstream velocity
+ // velocities[2]: upstream-upstream velocity
+ std::array<Scalar, 3> velocities{0.0, 0.0, 0.0};
+ // Variables that will store the distances between the dofs of interest:
+ // distances[0]: upstream to downstream distance
+ // distances[1]: upstream-upstream to upstream distance
+ // distances[2]: downstream staggered cell size
+ std::array<Scalar, 3> distances{0.0, 0.0, 0.0};
- // Get the momentum that is advectively transported and account for the flow direction.
- const Scalar momentum = selfIsUpstream ? computeMomentum(velocitySelf, velocityOpposite)
- : computeMomentum(velocityOpposite, velocitySelf);
+ const auto& highOrder = gridFluxVarsCache.higherOrderApproximation();
+
+ // If a Tvd approach has been specified and I am not too near to the boundary I can use a second order
+ // approximation for the velocity. In this frontal flux I use for the density always the value that I have on the scvf.
+ if (highOrder.tvdApproach() != TvdApproach::none)
+ {
+ if (canFrontalSecondOrder_(scvf, selfIsUpstream, velocities, distances, elemFaceVars[scvf]))
+ {
+ momentum = highOrder.tvd(velocities[0], velocities[1], velocities[2], distances[0], distances[1], distances[2], selfIsUpstream, insideVolVars.density(), highOrder.tvdApproach());
+ }
+ else
+ momentum = highOrder.upwind(velocities[0], velocities[1], insideVolVars.density(), upwindWeight);
+ }
+ else
+ momentum = selfIsUpstream ? highOrder.upwind(velocityOpposite, velocitySelf, insideVolVars.density(), upwindWeight)
+ : highOrder.upwind(velocitySelf, velocityOpposite, insideVolVars.density(), upwindWeight);
// Account for the orientation of the staggered face's normal outer normal vector
// (pointing in opposite direction of the scvf's one).
@@ -279,7 +306,8 @@ public:
const SubControlVolumeFace& scvf,
const FVElementGeometry& fvGeometry,
const ElementVolumeVariables& elemVolVars,
- const ElementFaceVariables& elemFaceVars)
+ const ElementFaceVariables& elemFaceVars,
+ const GridFluxVariablesCache& gridFluxVarsCache)
{
FacePrimaryVariables normalFlux(0.0);
auto& faceVars = elemFaceVars[scvf];
@@ -290,18 +318,18 @@ public:
{
const auto eIdx = scvf.insideScvIdx();
// Get the face normal to the face the dof lives on. The staggered sub face conincides with half of this normal face.
- const auto& normalFace = fvGeometry.scvf(eIdx, scvf.pairData()[localSubFaceIdx].localNormalFaceIdx);
+ const auto& normalFace = fvGeometry.scvf(eIdx, scvf.pairData(localSubFaceIdx).localNormalFaceIdx);
bool lateralFaceHasDirichletPressure = false; // check for Dirichlet boundary condition for the pressure
bool lateralFaceHasBJS = false; // check for Beavers-Joseph-Saffman boundary condition
// Check if there is face/element parallel to our face of interest where the dof lives on. If there is no parallel neighbor,
// we are on a boundary where we have to check for boundary conditions.
- if(!scvf.hasParallelNeighbor(localSubFaceIdx))
+ if(!scvf.hasParallelNeighbor(localSubFaceIdx,0))
{
// Construct a temporary scvf which corresponds to the staggered sub face, featuring the location
// the sub faces's center.
- auto localSubFaceCenter = scvf.pairData(localSubFaceIdx).virtualOuterParallelFaceDofPos - normalFace.center();
+ auto localSubFaceCenter = scvf.pairData(localSubFaceIdx).virtualFirstParallelFaceDofPos - normalFace.center();
localSubFaceCenter *= 0.5;
localSubFaceCenter += normalFace.center();
const auto localSubFace = makeGhostFace_(normalFace, localSubFaceCenter);
@@ -339,9 +367,9 @@ public:
// If there is no symmetry or Neumann boundary condition for the given sub face, proceed to calculate the tangential momentum flux.
if (problem.enableInertiaTerms())
- normalFlux += computeAdvectivePartOfLateralMomentumFlux_(problem, element, scvf, normalFace, elemVolVars, faceVars, localSubFaceIdx, lateralFaceHasDirichletPressure, lateralFaceHasBJS);
+ normalFlux += computeAdvectivePartOfLateralMomentumFlux_(problem, fvGeometry, element, scvf, normalFace, elemVolVars, faceVars, gridFluxVarsCache, localSubFaceIdx, lateralFaceHasDirichletPressure, lateralFaceHasBJS);
- normalFlux += computeDiffusivePartOfLateralMomentumFlux_(problem, element, scvf, normalFace, elemVolVars, faceVars, localSubFaceIdx, lateralFaceHasDirichletPressure, lateralFaceHasBJS);
+ normalFlux += computeDiffusivePartOfLateralMomentumFlux_(problem, fvGeometry, element, scvf, normalFace, elemVolVars, faceVars, localSubFaceIdx, lateralFaceHasDirichletPressure, lateralFaceHasBJS);
}
return normalFlux;
}
@@ -370,11 +398,13 @@ private:
* \endverbatim
*/
FacePrimaryVariables computeAdvectivePartOfLateralMomentumFlux_(const Problem& problem,
+ const FVElementGeometry& fvGeometry,
const Element& element,
const SubControlVolumeFace& scvf,
const SubControlVolumeFace& normalFace,
const ElementVolumeVariables& elemVolVars,
const FaceVariables& faceVars,
+ const GridFluxVariablesCache& gridFluxVarsCache,
const int localSubFaceIdx,
const bool lateralFaceHasDirichletPressure,
const bool lateralFaceHasBJS)
@@ -383,55 +413,50 @@ private:
// of interest is located.
const Scalar transportingVelocity = faceVars.velocityNormalInside(localSubFaceIdx);
- // Check whether the own or the neighboring element is upstream.
- const bool ownElementIsUpstream = ( normalFace.directionSign() == sign(transportingVelocity) );
-
- // Get the velocities at the current (own) scvf and at the parallel one at the neighboring scvf.
- const Scalar velocitySelf = faceVars.velocitySelf();
+ static const Scalar upwindWeight = getParamFromGroup<Scalar>(problem.paramGroup(), "Flux.UpwindWeight", 1.0);
- // Lambda to conveniently get the outer parallel velocity for normal faces that are on the boundary
- // and therefore have no neighbor. Calls the problem to retrieve a fixed value set on the boundary.
- auto getParallelVelocityFromBoundary = [&]()
- {
- // If there is a Dirichlet condition for the pressure we assume zero gradient for the velocity,
- // so the velocity at the boundary equal to that on the scvf.
- if (lateralFaceHasDirichletPressure)
- return velocitySelf;
+ // Check whether the own or the neighboring element is upstream.
+ const bool selfIsUpstream = ( normalFace.directionSign() == sign(transportingVelocity) );
- // Check if we have a Beavers-Joseph-Saffman condition.
- // If yes, the parallel velocity at the boundary is calculated accordingly.
- if (lateralFaceHasBJS)
- return problem.bjsVelocity(element, scvf, normalFace, localSubFaceIdx, velocitySelf);
+ // Get the volume variables of the own and the neighboring element
+ const auto& insideVolVars = elemVolVars[normalFace.insideScvIdx()];
+ const auto& outsideVolVars = elemVolVars[normalFace.outsideScvIdx()];
- const auto ghostFace = makeParallelGhostFace_(scvf, localSubFaceIdx);
+ Scalar momentum = 0.0;
- return problem.dirichlet(element, ghostFace)[Indices::velocity(scvf.directionIndex())];
- };
+ // Variables that will store the velocities of interest:
+ // velocities[0]: downstream velocity
+ // velocities[1]: upsteram velocity
+ // velocities[2]: upstream-upstream velocity
+ std::array<Scalar, 3> velocities{0.0, 0.0, 0.0};
- const Scalar velocityParallel = scvf.hasParallelNeighbor(localSubFaceIdx)
- ? faceVars.velocityParallel(localSubFaceIdx)
- : getParallelVelocityFromBoundary();
+ // Variables that will store the distances between the dofs of interest:
+ // distances[0]: upstream to downstream distance
+ // distances[1]: upstream-upstream to upstream distance
+ // distances[2]: downstream staggered cell size
+ std::array<Scalar, 3> distances{0.0, 0.0, 0.0};
- // Get the volume variables of the own and the neighboring element
- const auto& insideVolVars = elemVolVars[normalFace.insideScvIdx()];
- const auto& outsideVolVars = elemVolVars[normalFace.outsideScvIdx()];
+ const auto& highOrder = gridFluxVarsCache.higherOrderApproximation();
- // Lamba function to evaluate the transported momentum, regarding an user-specified upwind weight.
- auto computeMomentum = [&problem](const VolumeVariables& upstreamVolVars,
- const VolumeVariables& downstreamVolVars,
- const Scalar upstreamVelocity,
- const Scalar downstreamVelocity)
+ // If a Tvd approach has been specified and I am not too near to the boundary I can use a second order approximation.
+ if (highOrder.tvdApproach() != TvdApproach::none)
+ {
+ if (canLateralSecondOrder_(scvf, fvGeometry, selfIsUpstream, localSubFaceIdx, velocities, distances, problem, element, faceVars, lateralFaceHasDirichletPressure, lateralFaceHasBJS))
+ {
+ momentum = highOrder.tvd(velocities[0], velocities[1], velocities[2], distances[0], distances[1], distances[2], selfIsUpstream, selfIsUpstream ? insideVolVars.density() : outsideVolVars.density(), highOrder.tvdApproach());
+ }
+ else
+ momentum = highOrder.upwind(velocities[0], velocities[1], selfIsUpstream ? insideVolVars.density() : outsideVolVars.density(), upwindWeight);
+ }
+ else
{
- static const Scalar upWindWeight = getParamFromGroup<Scalar>(problem.paramGroup(), "Flux.UpwindWeight");
- const Scalar density = upWindWeight * upstreamVolVars.density() + (1.0 - upWindWeight) * downstreamVolVars.density();
- const Scalar transportedVelocity = upWindWeight * upstreamVelocity + (1.0 - upWindWeight) * downstreamVelocity;
- return transportedVelocity * density;
- };
+ const Scalar velocityFirstParallel = scvf.hasParallelNeighbor(localSubFaceIdx, 0)
+ ? faceVars.velocityParallel(localSubFaceIdx, 0)
+ : getParallelVelocityFromBoundary_(problem, scvf, normalFace, faceVars.velocitySelf(), localSubFaceIdx, element, lateralFaceHasDirichletPressure, lateralFaceHasBJS);
- // Get the momentum that is advectively transported and account for the flow direction.
- const Scalar momentum = ownElementIsUpstream ?
- computeMomentum(insideVolVars, outsideVolVars, velocitySelf, velocityParallel)
- : computeMomentum(outsideVolVars, insideVolVars, velocityParallel, velocitySelf);
+ momentum = selfIsUpstream ? highOrder.upwind(velocityFirstParallel, faceVars.velocitySelf(), insideVolVars.density(), upwindWeight)
+ : highOrder.upwind(faceVars.velocitySelf(), velocityFirstParallel, outsideVolVars.density(), upwindWeight);
+ }
// Account for the orientation of the staggered normal face's outer normal vector
// and its area (0.5 of the coinciding scfv).
@@ -461,6 +486,7 @@ private:
* \endverbatim
*/
FacePrimaryVariables computeDiffusivePartOfLateralMomentumFlux_(const Problem& problem,
+ const FVElementGeometry& fvGeometry,
const Element& element,
const SubControlVolumeFace& scvf,
const SubControlVolumeFace& normalFace,
@@ -519,24 +545,14 @@ private:
// and at the parallel one at the neighboring scvf.
const Scalar innerParallelVelocity = faceVars.velocitySelf();
- // Lambda to conveniently get the outer parallel velocity for normal faces that are on the boundary
- // and therefore have no neighbor. Calls the problem to retrieve a fixed value set on the boundary.
- auto getParallelVelocityFromBoundary = [&]()
- {
- const auto ghostFace = makeParallelGhostFace_(scvf, localSubFaceIdx);
- if (lateralFaceHasBJS)
- return problem.bjsVelocity(element, scvf, normalFace, localSubFaceIdx, innerParallelVelocity);
- return problem.dirichlet(element, ghostFace)[Indices::velocity(scvf.directionIndex())];
- };
-
- const Scalar outerParallelVelocity = scvf.hasParallelNeighbor(localSubFaceIdx)
- ? faceVars.velocityParallel(localSubFaceIdx)
- : getParallelVelocityFromBoundary();
+ const Scalar velocityFirstParallel = scvf.hasParallelNeighbor(localSubFaceIdx,0)
+ ? faceVars.velocityParallel(localSubFaceIdx,0)
+ : getParallelVelocityFromBoundary_(problem, scvf, normalFace, innerParallelVelocity, localSubFaceIdx, element, false, lateralFaceHasBJS);
// The velocity gradient already accounts for the orientation
// of the staggered face's outer normal vector.
- const Scalar parallelGradient = (outerParallelVelocity - innerParallelVelocity)
- / scvf.pairData(localSubFaceIdx).parallelDistance;
+ const Scalar parallelGradient = (velocityFirstParallel - innerParallelVelocity)
+ / scvf.cellCenteredParallelDistance(localSubFaceIdx,0);
normalDiffusiveFlux -= muAvg * parallelGradient;
}
@@ -597,13 +613,13 @@ private:
//! helper function to conveniently create a ghost face used to retrieve boundary values from the problem
SubControlVolumeFace makeGhostFace_(const SubControlVolumeFace& ownScvf, const GlobalPosition& pos) const
{
- return SubControlVolumeFace(pos, std::vector<unsigned int>{ownScvf.insideScvIdx(), ownScvf.outsideScvIdx()}, ownScvf.directionIndex(), ownScvf.dofIndex(), ownScvf.index());
+ return SubControlVolumeFace(pos, std::vector<unsigned int>{ownScvf.insideScvIdx(), ownScvf.outsideScvIdx()}, ownScvf.directionIndex(), ownScvf.axisData().selfDof, ownScvf.index());
};
//! helper function to conveniently create a ghost face which is outside the domain, parallel to the scvf of interest
SubControlVolumeFace makeParallelGhostFace_(const SubControlVolumeFace& ownScvf, const int localSubFaceIdx) const
{
- return makeGhostFace_(ownScvf, ownScvf.pairData(localSubFaceIdx).virtualOuterParallelFaceDofPos);
+ return makeGhostFace_(ownScvf, ownScvf.pairData(localSubFaceIdx).virtualFirstParallelFaceDofPos);
};
//! helper function to get the averaged extrusion factor for a face
@@ -613,7 +629,6 @@ private:
const auto& outsideVolVars = elemVolVars[scvf.outsideScvIdx()];
return harmonicMean(insideVolVars.extrusionFactor(), outsideVolVars.extrusionFactor());
}
-
//! do nothing if no turbulence model is used
template<class ...Args, bool turbulenceModel = ModelTraits::usesTurbulenceModel(), std::enable_if_t<!turbulenceModel, int> = 0>
bool incorporateWallFunction_(Args&&... args) const
@@ -639,9 +654,235 @@ private:
}
else
return false;
- };
+ }
+
+ /*!
+ * \brief Check if a second order approximation for the frontal part of the advective term can be used
+ *
+ * This helper function checks if the scvf of interest is not too near to the
+ * boundary so that a dof upstream with respect to the upstream dof is available.
+ *
+ * \param ownScvf The SubControlVolumeFace we are considering
+ * \param selfIsUpstream @c true if the velocity ownScvf is upstream wrt the transporting velocity
+ * \param velocities Variable that will store the velocities of interest
+ * \param distances Variable that will store the distances of interest
+ * \param faceVars The face variables related to ownScvf
+ */
+ bool canFrontalSecondOrder_(const SubControlVolumeFace& ownScvf,
+ const bool selfIsUpstream,
+ std::array<Scalar, 3>& velocities,
+ std::array<Scalar, 3>& distances,
+ const FaceVariables& faceVars) const
+ {
+ // Depending on selfIsUpstream I can assign the downstream and the upstream velocities,
+ // then I have to check if I have a forward or a backward neighbor to retrieve
+ // an "upstream-upstream velocity" and be able to use a second order scheme.
+ if (selfIsUpstream)
+ {
+ velocities[0] = faceVars.velocityOpposite();
+ velocities[1] = faceVars.velocitySelf();
+
+ if (ownScvf.hasForwardNeighbor(0))
+ {
+ velocities[2] = faceVars.velocityForward(0);
+ distances[0] = ownScvf.selfToOppositeDistance();
+ distances[1] = ownScvf.axisData().inAxisForwardDistances[0];
+ distances[2] = 0.5 * (ownScvf.axisData().selfToOppositeDistance + ownScvf.axisData().inAxisBackwardDistances[0]);
+ return true;
+ }
+ else
+ return false;
+ }
+ else
+ {
+ velocities[0] = faceVars.velocitySelf();
+ velocities[1] = faceVars.velocityOpposite();
+
+ if (ownScvf.hasBackwardNeighbor(0))
+ {
+ velocities[2] = faceVars.velocityBackward(0);
+ distances[0] = ownScvf.selfToOppositeDistance();
+ distances[1] = ownScvf.axisData().inAxisBackwardDistances[0];
+ distances[2] = 0.5 * (ownScvf.axisData().selfToOppositeDistance + ownScvf.axisData().inAxisForwardDistances[0]);
+ return true;
+ }
+ else
+ return false;
+ }
+ }
+
+ /*!
+ * \brief Check if a second order approximation for the lateral part of the advective term can be used
+ *
+ * This helper function checks if the scvf of interest is not too near to the
+ * boundary so that a dof upstream with respect to the upstream dof is available.
+ *
+ * \param ownScvf The SubControlVolumeFace we are considering
+ * \param selfIsUpstream @c true if the velocity ownScvf is upstream wrt the transporting velocity
+ * \param localSubFaceIdx The local subface index
+ * \param velocities Variable that will store the velocities of interest
+ * \param distances Variable that will store the distances of interest
+ */
+ bool canLateralSecondOrder_(const SubControlVolumeFace& ownScvf,
+ const FVElementGeometry& fvGeometry,
+ const bool selfIsUpstream,
+ const int localSubFaceIdx,
+ std::array<Scalar, 3>& velocities,
+ std::array<Scalar, 3>& distances,
+ const Problem& problem,
+ const Element& element,
+ const FaceVariables& faceVars,
+ const bool lateralFaceHasDirichletPressure,
+ const bool lateralFaceHasBJS) const
+ {
+ const SubControlVolumeFace& normalFace = fvGeometry.scvf(ownScvf.insideScvIdx(), ownScvf.pairData(localSubFaceIdx).localNormalFaceIdx);
+
+ // The local index of the faces that is opposite to localSubFaceIdx
+ const int oppositeSubFaceIdx = localSubFaceIdx % 2 ? localSubFaceIdx - 1 : localSubFaceIdx + 1;
+
+ if (selfIsUpstream)
+ {
+ // I can assign the upstream velocity. The downstream velocity can be assigned or retrieved
+ // from the boundary if there is no parallel neighbor.
+ velocities[1] = faceVars.velocitySelf();
+
+ if(ownScvf.hasParallelNeighbor(localSubFaceIdx, 0))
+ {
+ velocities[0] = faceVars.velocityParallel(localSubFaceIdx, 0);
+ distances[2] = ownScvf.pairData(localSubFaceIdx).parallelDistances[1];
+ }
+ else
+ {
+ velocities[0] = getParallelVelocityFromBoundary_(problem, ownScvf, normalFace, faceVars.velocitySelf(), localSubFaceIdx, element, lateralFaceHasDirichletPressure, lateralFaceHasBJS);
+ distances[2] = ownScvf.area() / 2.0;
+ }
+
+ // The "upstream-upsteram" velocity is retrieved from the other parallel neighbor
+ // or from the boundary.
+ if (ownScvf.hasParallelNeighbor(oppositeSubFaceIdx, 0))
+ velocities[2] = faceVars.velocityParallel(oppositeSubFaceIdx, 0);
+ else
+ velocities[2] = getParallelVelocityFromOtherBoundary_(problem, fvGeometry, ownScvf, oppositeSubFaceIdx, element, velocities[1]);
+
+ distances[0] = ownScvf.cellCenteredParallelDistance(localSubFaceIdx, 0);
+ distances[1] = ownScvf.cellCenteredParallelDistance(oppositeSubFaceIdx, 0);
+
+ return true;
+ }
+ else
+ {
+ // The self velocity is downstream, then if there is no parallel neighbor I can not use
+ // a second order approximation beacuse I have only two velocities.
+ velocities[0] = faceVars.velocitySelf();
+
+ if (!ownScvf.hasParallelNeighbor(localSubFaceIdx, 0))
+ {
+ velocities[1] = getParallelVelocityFromBoundary_(problem, ownScvf, normalFace, faceVars.velocitySelf(), localSubFaceIdx, element, lateralFaceHasDirichletPressure, lateralFaceHasBJS);
+ return false;
+ }
+
+ velocities[1] = faceVars.velocityParallel(localSubFaceIdx, 0);
+
+ // If there is another parallel neighbor I can assign the "upstream-upstream"
+ // velocity, otherwise I retrieve it from the boundary.
+ if (ownScvf.hasParallelNeighbor(localSubFaceIdx, 1))
+ velocities[2] = faceVars.velocityParallel(localSubFaceIdx, 1);
+ else
+ {
+ const Element& elementParallel = fvGeometry.fvGridGeometry().element(fvGeometry.scv(normalFace.outsideScvIdx()));
+ const SubControlVolumeFace& firstParallelScvf = fvGeometry.scvf(normalFace.outsideScvIdx(), ownScvf.localFaceIdx());
+ velocities[2] = getParallelVelocityFromOtherBoundary_(problem, fvGeometry, firstParallelScvf, localSubFaceIdx, elementParallel, velocities[1]);
+ }
+
+ distances[0] = ownScvf.cellCenteredParallelDistance(localSubFaceIdx, 0);
+ distances[1] = ownScvf.cellCenteredParallelDistance(localSubFaceIdx, 1);
+ distances[2] = ownScvf.area();
+
+ return true;
+ }
+ }
+
+ /*!
+ * \brief Return the outer parallel velocity for normal faces that are on the boundary and therefore have no neighbor.
+ *
+ * Calls the problem to retrieve a fixed value set on the boundary.
+ *
+ * \param problem The problem
+ * \param scvf The SubControlVolumeFace that is normal to the boundary
+ * \param normalFace The face at the boundary
+ * \param velocitySelf the velocity at scvf
+ * \param localSubFaceIdx The local index of the face that is on the boundary
+ * \param element The element that is on the boundary
+ * \param lateralFaceHasDirichletPressure @c true if there is a dirichlet condition for the pressure on the boundary
+ * \param lateralFaceHasBJS @c true if there is a BJS condition fot the velocity on the boundary
+ */
+ Scalar getParallelVelocityFromBoundary_(const Problem& problem,
+ const SubControlVolumeFace& scvf,
+ const SubControlVolumeFace& normalFace,
+ const Scalar velocitySelf,
+ const int localSubFaceIdx,
+ const Element& element,
+ const bool lateralFaceHasDirichletPressure,
+ const bool lateralFaceHasBJS) const
+ {
+ // If there is a Dirichlet condition for the pressure we assume zero gradient for the velocity,
+ // so the velocity at the boundary equal to that on the scvf.
+ if (lateralFaceHasDirichletPressure)
+ return velocitySelf;
+
+ const auto ghostFace = makeParallelGhostFace_(scvf, localSubFaceIdx);
+ if (lateralFaceHasBJS)
+ return problem.bjsVelocity(element, scvf, normalFace, localSubFaceIdx, velocitySelf);
+ return problem.dirichlet(element, ghostFace)[Indices::velocity(scvf.directionIndex())];
+ }
+
+ /*!
+ * \brief Return a velocity value from a boundary for which the boundary conditions have to be checked.
+ *
+ * \param problem The problem
+ * \param scvf The SubControlVolumeFace that is normal to the boundary
+ * \param localIdx The local index of the face that is on the boundary
+ * \param boundaryElement The element that is on the boundary
+ * \param parallelVelocity The velocity over scvf
+ */
+ Scalar getParallelVelocityFromOtherBoundary_(const Problem& problem,
+ const FVElementGeometry& fvGeometry,
+ const SubControlVolumeFace& scvf,
+ const int localIdx,
+ const Element& boundaryElement,
+ const Scalar parallelVelocity) const
+ {
+ // A ghost subface at the boundary is created, featuring the location of the sub face's center
+ const SubControlVolumeFace& boundaryNormalFace = fvGeometry.scvf(scvf.insideScvIdx(), scvf.pairData(localIdx).localNormalFaceIdx);
+ GlobalPosition boundarySubFaceCenter = scvf.pairData(localIdx).virtualFirstParallelFaceDofPos + boundaryNormalFace.center();
+ boundarySubFaceCenter *= 0.5;
+ const SubControlVolumeFace boundarySubFace = makeGhostFace_(boundaryNormalFace, boundarySubFaceCenter);
+
+ // The boundary condition is checked, in case of symmetry or Dirichlet for the pressure
+ // a gradient of zero is assumed in the direction normal to the bounadry, while if there is
+ // Dirichlet of BJS for the velocity the related values are exploited.
+ const auto bcTypes = problem.boundaryTypes(boundaryElement, boundarySubFace);
+
+ if (bcTypes.isDirichlet(Indices::velocity(scvf.directionIndex())))
+ {
+ const SubControlVolumeFace ghostFace = makeParallelGhostFace_(scvf, localIdx);
+ return problem.dirichlet(boundaryElement, ghostFace)[Indices::velocity(scvf.directionIndex())];
+ }
+ else if (bcTypes.isSymmetry() || bcTypes.isDirichlet(Indices::pressureIdx))
+ return parallelVelocity;
+ else if (bcTypes.isBJS(Indices::velocity(scvf.directionIndex())))
+ {
+ const SubControlVolumeFace ghostFace = makeParallelGhostFace_(scvf, localIdx);
+ return problem.bjsVelocity(boundaryElement, scvf, boundaryNormalFace, localIdx, parallelVelocity);
+ }
+ else
+ {
+ // Neumann conditions are not well implemented
+ DUNE_THROW(Dune::InvalidStateException, "Something went wrong with the boundary conditions for the momentum equations at global position " << boundarySubFaceCenter);
+ }
+ }
};
-} // end namespace
+} // end namespace Dumux
-#endif
+#endif // DUMUX_NAVIERSTOKES_STAGGERED_FLUXVARIABLES_HH
diff --git a/dumux/freeflow/navierstokes/staggered/localresidual.hh b/dumux/freeflow/navierstokes/staggered/localresidual.hh
index 3ddde3953667bc5e8706645799d5d8afb4948095..fe2039b902a09824a89356f1b146f26d8ed180ea 100644
--- a/dumux/freeflow/navierstokes/staggered/localresidual.hh
+++ b/dumux/freeflow/navierstokes/staggered/localresidual.hh
@@ -179,7 +179,7 @@ public:
const ElementFluxVariablesCache& elemFluxVarsCache) const
{
FluxVariables fluxVars;
- return fluxVars.computeMomentumFlux(problem, element, scvf, fvGeometry, elemVolVars, elemFaceVars);
+ return fluxVars.computeMomentumFlux(problem, element, scvf, fvGeometry, elemVolVars, elemFaceVars, elemFluxVarsCache.gridFluxVarsCache());
}
/*!
diff --git a/dumux/freeflow/rans/twoeq/kepsilon/staggered/fluxvariables.hh b/dumux/freeflow/rans/twoeq/kepsilon/staggered/fluxvariables.hh
index 77d63bdd6af87dd33bd639e8f0acb9a250af653c..d831d5917bd6b2f47a28b67994ed7a63ebcd3a73 100644
--- a/dumux/freeflow/rans/twoeq/kepsilon/staggered/fluxvariables.hh
+++ b/dumux/freeflow/rans/twoeq/kepsilon/staggered/fluxvariables.hh
@@ -184,12 +184,13 @@ public:
const SubControlVolumeFace& scvf,
const FVElementGeometry& fvGeometry,
const ElementVolumeVariables& elemVolVars,
- const ElementFaceVariables& elemFaceVars)
+ const ElementFaceVariables& elemFaceVars,
+ const GridFluxVariablesCache& gridFluxVarsCache)
{
const auto& insideVolVars = elemVolVars[scvf.insideScvIdx()];
- return ParentType::computeFrontalMomentumFlux(problem, element, scvf, fvGeometry, elemVolVars, elemFaceVars)
- + ParentType::computeLateralMomentumFlux(problem, element, scvf, fvGeometry, elemVolVars, elemFaceVars)
+ return ParentType::computeFrontalMomentumFlux(problem, element, scvf, fvGeometry, elemVolVars, elemFaceVars, gridFluxVarsCache)
+ + ParentType::computeLateralMomentumFlux(problem, element, scvf, fvGeometry, elemVolVars, elemFaceVars, gridFluxVarsCache)
+ 2.0 / ModelTraits::dim() * insideVolVars.density() * insideVolVars.turbulentKineticEnergy()
* scvf.area() * scvf.directionSign() * insideVolVars.extrusionFactor();
}
diff --git a/dumux/freeflow/rans/twoeq/komega/staggered/fluxvariables.hh b/dumux/freeflow/rans/twoeq/komega/staggered/fluxvariables.hh
index bc76b71421488e78856afd28241521bf6190b271..22b659dd06e034be428cf9b0def870718e03d050 100644
--- a/dumux/freeflow/rans/twoeq/komega/staggered/fluxvariables.hh
+++ b/dumux/freeflow/rans/twoeq/komega/staggered/fluxvariables.hh
@@ -175,12 +175,13 @@ public:
const SubControlVolumeFace& scvf,
const FVElementGeometry& fvGeometry,
const ElementVolumeVariables& elemVolVars,
- const ElementFaceVariables& elemFaceVars)
+ const ElementFaceVariables& elemFaceVars,
+ const GridFluxVariablesCache& gridFluxVarsCache)
{
const auto& insideVolVars = elemVolVars[scvf.insideScvIdx()];
- return ParentType::computeFrontalMomentumFlux(problem, element, scvf, fvGeometry, elemVolVars, elemFaceVars)
- + ParentType::computeLateralMomentumFlux(problem, element, scvf, fvGeometry, elemVolVars, elemFaceVars)
+ return ParentType::computeFrontalMomentumFlux(problem, element, scvf, fvGeometry, elemVolVars, elemFaceVars, gridFluxVarsCache)
+ + ParentType::computeLateralMomentumFlux(problem, element, scvf, fvGeometry, elemVolVars, elemFaceVars, gridFluxVarsCache)
+ 2.0 / ModelTraits::dim() * insideVolVars.density() * insideVolVars.turbulentKineticEnergy()
* scvf.area() * scvf.directionSign() * insideVolVars.extrusionFactor();
}
diff --git a/dumux/freeflow/rans/twoeq/lowrekepsilon/staggered/fluxvariables.hh b/dumux/freeflow/rans/twoeq/lowrekepsilon/staggered/fluxvariables.hh
index 0add605a222922346538bf123f386ef98ec7a11a..a89108b327113bf87d8f0733e6fe58416be3d29e 100644
--- a/dumux/freeflow/rans/twoeq/lowrekepsilon/staggered/fluxvariables.hh
+++ b/dumux/freeflow/rans/twoeq/lowrekepsilon/staggered/fluxvariables.hh
@@ -176,12 +176,13 @@ public:
const SubControlVolumeFace& scvf,
const FVElementGeometry& fvGeometry,
const ElementVolumeVariables& elemVolVars,
- const ElementFaceVariables& elemFaceVars)
+ const ElementFaceVariables& elemFaceVars,
+ const GridFluxVariablesCache& gridFluxVarsCache)
{
const auto& insideVolVars = elemVolVars[scvf.insideScvIdx()];
- return ParentType::computeFrontalMomentumFlux(problem, element, scvf, fvGeometry, elemVolVars, elemFaceVars)
- + ParentType::computeLateralMomentumFlux(problem, element, scvf, fvGeometry, elemVolVars, elemFaceVars)
+ return ParentType::computeFrontalMomentumFlux(problem, element, scvf, fvGeometry, elemVolVars, elemFaceVars, gridFluxVarsCache)
+ + ParentType::computeLateralMomentumFlux(problem, element, scvf, fvGeometry, elemVolVars, elemFaceVars, gridFluxVarsCache)
+ 2.0 / ModelTraits::dim() * insideVolVars.density() * insideVolVars.turbulentKineticEnergy()
* scvf.area() * scvf.directionSign() * insideVolVars.extrusionFactor();
}
diff --git a/dumux/multidomain/boundary/stokesdarcy/couplingmapper.hh b/dumux/multidomain/boundary/stokesdarcy/couplingmapper.hh
index 14d269594418274e152c43c445d240caf37dfa01..92196c501a9aa3b1fe4969575909824319563675 100644
--- a/dumux/multidomain/boundary/stokesdarcy/couplingmapper.hh
+++ b/dumux/multidomain/boundary/stokesdarcy/couplingmapper.hh
@@ -136,7 +136,6 @@ public:
const auto darcyDofIdx = darcyElementIdx[0];
-
stokesFaceToDarcyStencils[scvf.dofIndex()].push_back(darcyDofIdx);
stokesCellCenterToDarcyStencils[stokesElementIdx].push_back(darcyDofIdx);
diff --git a/test/discretization/staggered/CMakeLists.txt b/test/discretization/staggered/CMakeLists.txt
index 6543839c23c5af168763f2334ce80aa20998a2fe..880e2afe20b93f965a38f7ddc7f8100ae7d3f8f3 100644
--- a/test/discretization/staggered/CMakeLists.txt
+++ b/test/discretization/staggered/CMakeLists.txt
@@ -1,3 +1,5 @@
+dune_symlink_to_source_files(FILES "params.input")
+
dune_add_test(NAME test_staggeredfvgeometry
SOURCES test_staggeredfvgeometry.cc
LABELS unit discretization)
diff --git a/test/discretization/staggered/params.input b/test/discretization/staggered/params.input
new file mode 100644
index 0000000000000000000000000000000000000000..6ada25190eb33362adf4f10c877ae023d0361a1f
--- /dev/null
+++ b/test/discretization/staggered/params.input
@@ -0,0 +1,3 @@
+[Discretization]
+TvdApproach = Uniform # Uniform, Li, Hou
+DifferencingScheme = vanalbada # vanleer, vanalbada, minmod, superbee, umist, mclimiter, wahyd
diff --git a/test/discretization/staggered/test_staggered_free_flow_geometry.cc b/test/discretization/staggered/test_staggered_free_flow_geometry.cc
index 4ee8dcad5a99e359d047e5033544542107bb0473..59c12bf843499cb381d89778a0fbda8a7dc3497a 100644
--- a/test/discretization/staggered/test_staggered_free_flow_geometry.cc
+++ b/test/discretization/staggered/test_staggered_free_flow_geometry.cc
@@ -5,7 +5,7 @@
* *
* 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 3 of the License, or *
+ * 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, *
@@ -30,6 +30,7 @@
#include <dune/common/test/iteratortest.hh>
#include <dune/grid/utility/structuredgridfactory.hh>
#include <dune/grid/yaspgrid.hh>
+#include <dumux/common/parameters.hh>
#include <dumux/common/intersectionmapper.hh>
#include <dumux/common/defaultmappertraits.hh>
@@ -82,9 +83,11 @@ int main (int argc, char *argv[]) try
// maybe initialize mpi
Dune::MPIHelper::instance(argc, argv);
-
std::cout << "Checking the FVGeometries, SCVs and SCV faces" << std::endl;
+ // parse command line arguments and input file
+ Parameters::init(argc, argv);
+
using Grid = Dune::YaspGrid<2>;
constexpr int dim = Grid::dimension;
@@ -98,11 +101,11 @@ int main (int argc, char *argv[]) try
// make a grid
GlobalPosition lower(0.0);
- GlobalPosition upper(1.0);
- std::array<unsigned int, dim> els{{2, 4}};
+ GlobalPosition upper(10.0);
+ std::array<unsigned int, dim> els{{5, 5}};
std::shared_ptr<Grid> grid = Dune::StructuredGridFactory<Grid>::createCubeGrid(lower, upper, els);
- auto leafGridView = grid->leafGridView();
+ auto leafGridView = grid->leafGridView();
FVGridGeometry fvGridGeometry(leafGridView);
fvGridGeometry.update();
@@ -120,43 +123,82 @@ int main (int argc, char *argv[]) try
for (const auto& element : elements(leafGridView))
{
auto eIdx = fvGridGeometry.elementMapper().index(element);
- std::cout << std::endl << "Checking fvGeometry of element " << eIdx << std::endl;
- auto fvGeometry = localView(fvGridGeometry);
- fvGeometry.bind(element);
-
- auto range = scvs(fvGeometry);
- Detail::NoopFunctor<SubControlVolume> op;
- if(0 != testForwardIterator(range.begin(), range.end(), op))
- DUNE_THROW(Dune::Exception, "Iterator does not fulfill the forward iterator concept");
-
- for (auto&& scv : scvs(fvGeometry))
- {
- std::cout << "-- scv " << scv.dofIndex() << " center at: " << scv.center() << std::endl;
- }
-
- auto range2 = scvfs(fvGeometry);
- Detail::NoopFunctor<SubControlVolumeFace> op2;
- if(0 != testForwardIterator(range2.begin(), range2.end(), op2))
- DUNE_THROW(Dune::Exception, "Iterator does not fulfill the forward iterator concept");
-
-
- for (auto&& scvf : scvfs(fvGeometry))
+ if(eIdx == 12 || eIdx == 0)
{
- std::cout << std::fixed << std::left << std::setprecision(2)
- << "pos "<< scvf.ipGlobal()
- << "; fIdx " << std::setw(3) << scvf.index()
- << "; dofIdx (self/oppo.) " << std::setw(3) << scvf.dofIndex() << "/" << std::setw(3) <<scvf.dofIndexOpposingFace()
- << "; dist (self/oppo.) " << std::setw(3) << scvf.selfToOppositeDistance()
- << ", norm1 in/out " << std::setw(3) << scvf.pairData(0).normalPair.first << "/" << std::setw(3) << scvf.pairData(0).normalPair.second
- << ", norm2 in/out " << std::setw(3) << scvf.pairData(1).normalPair.first << "/" << std::setw(3) << scvf.pairData(1).normalPair.second
- << ", par1 " << std::setw(3) << std::setw(3) << scvf.pairData(0).outerParallelFaceDofIdx
- << ", par2 " << std::setw(3) << std::setw(3) << scvf.pairData(1).outerParallelFaceDofIdx
- << ", normDist1 " << std::setw(3) << scvf.pairData(0).normalDistance
- << ", normDist2 " << std::setw(3) << scvf.pairData(1).normalDistance
- << ", parDist1 " << std::setw(3) << scvf.pairData(0).parallelDistance
- << ", parDist2 " << std::setw(3) << scvf.pairData(1).parallelDistance;
- if (scvf.boundary()) std::cout << " (on boundary)";
- std::cout << std::endl;
+ std::cout << std::endl << "Checking fvGeometry of element " << eIdx << std::endl;
+ auto fvGeometry = localView(fvGridGeometry);
+ fvGeometry.bind(element);
+
+ auto range = scvs(fvGeometry);
+ Detail::NoopFunctor<SubControlVolume> op;
+ if(0 != testForwardIterator(range.begin(), range.end(), op))
+ DUNE_THROW(Dune::Exception, "Iterator does not fulfill the forward iterator concept");
+
+ for (auto&& scv : scvs(fvGeometry))
+ {
+ std::cout << "-- scv " << scv.dofIndex() << " center at: " << scv.center() << std::endl;
+ }
+
+ auto range2 = scvfs(fvGeometry);
+ Detail::NoopFunctor<SubControlVolumeFace> op2;
+ if(0 != testForwardIterator(range2.begin(), range2.end(), op2))
+ DUNE_THROW(Dune::Exception, "Iterator does not fulfill the forward iterator concept");
+
+
+ for (auto&& scvf : scvfs(fvGeometry))
+ {
+ std::cout << "\n";
+ std::cout << " Scvf Index " << scvf.index() << " , local Index " << scvf.localFaceIdx() << "\n";
+ std::cout << " Center pos "<< scvf.ipGlobal() << "\n";
+
+ if (scvf.boundary())
+ {std::cout << " (on boundary)" << "\n";}
+ else
+ {std::cout << "\n";}
+
+ std::cout << std::fixed << std::left << std::setprecision(2);
+
+ std::cout << " On Axis Dof Index: \n";
+ if(fvGridGeometry.order() > 1)
+ {std::cout << " | Forward dofIdx : " << std::setw(3) << scvf.axisData().inAxisForwardDofs[0] << "\n";}
+ std::cout << " | Self dofIdx : " << std::setw(3) << scvf.dofIndex() << "\n";
+ std::cout << " | Opposite dofIdx : " << std::setw(3) << scvf.dofIndexOpposingFace() << "\n";
+ if(fvGridGeometry.order() > 1)
+ {std::cout << " | Backward dofIdx : " << std::setw(3) << scvf.axisData().inAxisBackwardDofs[0] << "\n";}
+
+ std::cout << " Normal Dof Index: \n";
+ for(int i = 0; i < scvf.pairData().size(); i++)
+ {
+ std::cout << " | normal inner dofIdx "<< i <<": " << std::setw(3) << scvf.pairData(i).normalPair.first << "\n";
+ std::cout << " | normal outer dofIdx "<< i <<": " << std::setw(3) << scvf.pairData(i).normalPair.second << "\n";
+ }
+
+ std::cout << " Parallel Dof Index: \n";
+ for(int i = 0; i < scvf.pairData().size(); i++)
+ {
+ for(int j = 0; j < fvGridGeometry.order(); j++)
+ {
+ std::cout << " | Parallel Dof "<< j << " on axis " << i << ": "<< std::setw(3) << scvf.pairData(i).parallelDofs[j] << "\n";
+ }
+ }
+
+ std::cout << " Distances: \n";
+ if(fvGridGeometry.order() > 1)
+ {std::cout << " | Opposite To Backwards Face Dist : " << std::setw(3) << scvf.axisData().inAxisBackwardDistances[0] << "\n";}
+ std::cout << " | self To Opposite Dist : " << std::setw(3) << scvf.selfToOppositeDistance() << "\n";
+ if(fvGridGeometry.order() > 1)
+ {std::cout << " | Opposite To Backwards Face Dist : " << std::setw(3) << scvf.axisData().inAxisBackwardDistances[0] << "\n";}
+
+ for(int i = 0; i < scvf.pairData().size(); i++)
+ {
+ for(int j = 0; j < fvGridGeometry.order(); j++)
+ {
+ std::cout << " | Parallel Distance "<< j << " on axis " << i << ": "<< std::setw(3) << scvf.pairData(i).parallelDistances[j] << "\n";
+ }
+ }
+ std::cout << std::endl;
+ std::cout << std::endl;
+ }
}
}
}
diff --git a/test/discretization/staggered/test_staggeredfvgeometry.cc b/test/discretization/staggered/test_staggeredfvgeometry.cc
index 08340c65448763f815aaab95d51f49cd2a5d08e9..3296aca99c8253429632cb41f0454d8db37e3b45 100644
--- a/test/discretization/staggered/test_staggeredfvgeometry.cc
+++ b/test/discretization/staggered/test_staggeredfvgeometry.cc
@@ -30,6 +30,7 @@
#include <dune/common/test/iteratortest.hh>
#include <dune/grid/utility/structuredgridfactory.hh>
#include <dune/grid/yaspgrid.hh>
+#include <dumux/common/parameters.hh>
#include <dumux/common/intersectionmapper.hh>
#include <dumux/common/defaultmappertraits.hh>
@@ -67,7 +68,10 @@ struct TestFVGGTraits : public DefaultMapperTraits<GridView>
//! Dummy connectivity map, required by FVGridGeometry
template<class FVGridGeometry>
struct MockConnectivityMap
- { void update(const FVGridGeometry& fvGridGeometry) {} };
+ {
+ void update(const FVGridGeometry& fvGridGeometry) {}
+ void setStencilOrder(const int order) {}
+ };
template<class FVGridGeometry>
using ConnectivityMap = MockConnectivityMap<FVGridGeometry>;
@@ -86,6 +90,9 @@ int main (int argc, char *argv[]) try
// maybe initialize mpi
Dune::MPIHelper::instance(argc, argv);
+ // parse command line arguments and input file
+ Parameters::init(argc, argv);
+
std::cout << "Checking the FVGeometries, SCVs and SCV faces" << std::endl;
using Grid = Dune::YaspGrid<2>;
diff --git a/test/freeflow/navierstokes/angeli/CMakeLists.txt b/test/freeflow/navierstokes/angeli/CMakeLists.txt
index 0d009f0ba10e12551c80f46567a0b2fcba488fa9..9d44798759f9814e1d99f44816bef86155478ba4 100644
--- a/test/freeflow/navierstokes/angeli/CMakeLists.txt
+++ b/test/freeflow/navierstokes/angeli/CMakeLists.txt
@@ -5,7 +5,7 @@ dune_add_test(NAME test_ff_navierstokes_angeli
COMMAND ${CMAKE_SOURCE_DIR}/bin/testing/runtest.py
CMD_ARGS --script fuzzy
--files ${CMAKE_SOURCE_DIR}/test/references/test_ff_navierstokes_angeli-reference.vtu
- ${CMAKE_CURRENT_BINARY_DIR}/test_ff_navierstokes_angeli-00045.vtu
+ ${CMAKE_CURRENT_BINARY_DIR}/test_ff_navierstokes_angeli-00009.vtu
--command "${CMAKE_CURRENT_BINARY_DIR}/test_ff_navierstokes_angeli params.input
-Problem.Name test_ff_navierstokes_angeli")
diff --git a/test/freeflow/navierstokes/angeli/params.input b/test/freeflow/navierstokes/angeli/params.input
index a7f02d55826ca0fdab5e5d05758729a33217ef2a..de1b84e33d76c7fd565fdd67a94999cbbe44c9ce 100644
--- a/test/freeflow/navierstokes/angeli/params.input
+++ b/test/freeflow/navierstokes/angeli/params.input
@@ -1,5 +1,5 @@
[TimeLoop]
-DtInitial = 1e-12 # [s]
+DtInitial = 1e-4 # [s]
TEnd = 1e-2 # [s]
[Grid]
diff --git a/test/freeflow/navierstokes/kovasznay/CMakeLists.txt b/test/freeflow/navierstokes/kovasznay/CMakeLists.txt
index 01b5e3b1ad4abf4a6cb9bf1c5f850748372b7f23..018401d1af9346afc8a7bd5ea433b942f511cb87 100644
--- a/test/freeflow/navierstokes/kovasznay/CMakeLists.txt
+++ b/test/freeflow/navierstokes/kovasznay/CMakeLists.txt
@@ -8,4 +8,16 @@ dune_add_test(NAME test_ff_navierstokes_kovasznay
${CMAKE_CURRENT_BINARY_DIR}/test_ff_navierstokes_kovasznay-00001.vtu
--command "${CMAKE_CURRENT_BINARY_DIR}/test_ff_navierstokes_kovasznay params.input
-Problem.Name test_ff_navierstokes_kovasznay")
+
+dune_add_test(NAME test_ff_navierstokes_kovasznay_higherorder
+ TARGET test_ff_navierstokes_kovasznay
+ LABELS freeflow
+ COMMAND ${CMAKE_SOURCE_DIR}/bin/testing/runtest.py
+ CMD_ARGS --script fuzzy
+ --files ${CMAKE_SOURCE_DIR}/test/references/test_ff_navierstokes_kovasznay_higherorder-reference.vtu
+ ${CMAKE_CURRENT_BINARY_DIR}/test_ff_navierstokes_kovasznay_higherorder-00001.vtu
+ --command "${CMAKE_CURRENT_BINARY_DIR}/test_ff_navierstokes_kovasznay params.input
+ -Problem.Name test_ff_navierstokes_kovasznay_higherorder
+ -Discretization.TvdApproach Hou
+ -Discretization.DifferencingScheme vanleer")
dune_symlink_to_source_files(FILES "params.input")
diff --git a/test/references/test_ff_navierstokes_angeli-reference.vtu b/test/references/test_ff_navierstokes_angeli-reference.vtu
index a9b1ce9858e20fc5cd1fdf20672c538ba0274aa4..8cb65572763a4b8adcb2f538e15f300a524d9ce8 100644
--- a/test/references/test_ff_navierstokes_angeli-reference.vtu
+++ b/test/references/test_ff_navierstokes_angeli-reference.vtu
@@ -8,207 +8,207 @@
-2.21788 -1.09715 0.00591258 1.0739 2.08998 3.03812 3.90337 4.67208 5.33213 5.87312 6.2865 6.56577
6.70651 6.70651 6.56577 6.2865 5.87312 5.33213 4.67208 3.90337 3.03812 2.08998 1.0739 0.00591258
-1.09715 -2.21788 -3.33862 -4.44168 -5.50967 -6.52574 -7.47388 -8.33913 -9.10784 -9.7679 -10.3089 -10.7223
- -11.0015 -11.1423 -11.0029 -10.8489 -10.5615 -10.1367 -9.58292 -8.90982 -8.1287 -7.25229 -6.29474 -5.27136
- -4.19846 -3.09308 -1.97276 -0.855247 0.241793 1.30103 2.30578 3.24024 4.08982 4.84133 5.48329 6.00617
- 6.40257 6.66753 6.7986 6.7986 6.66753 6.40257 6.00617 5.48329 4.84133 4.08982 3.24024 2.30578
- 1.30103 0.241793 -0.855247 -1.97276 -3.09308 -4.19846 -5.27136 -6.29474 -7.25229 -8.1287 -8.90982 -9.58292
- -10.1367 -10.5615 -10.8489 -11.0029 -10.733 -10.6092 -10.3179 -9.89058 -9.33498 -8.66066 -7.87874 -7.00191
- -6.04427 -5.0211 -3.9487 -2.84407 -1.72474 -0.608391 0.487317 1.5451 2.54829 3.48112 4.32902 5.07881
- 5.719 6.24002 6.6344 6.89699 7.02504 7.02504 6.89699 6.6344 6.24002 5.719 5.07881 4.32902
- 3.48112 2.54829 1.5451 0.487317 -0.608391 -1.72474 -2.84407 -3.9487 -5.0211 -6.04427 -7.00191 -7.87874
- -8.66066 -9.33498 -9.89058 -10.3179 -10.6092 -10.733 -10.3494 -10.2581 -9.96352 -9.53382 -8.9766 -8.30113
- -7.51841 -6.64107 -5.68315 -4.65992 -3.58765 -2.48333 -1.36446 -0.248732 0.846222 1.90312 2.90529 3.83698
- 4.68357 5.43186 6.07029 6.5892 6.98095 7.24017 7.36382 7.36382 7.24017 6.98095 6.5892 6.07029
- 5.43186 4.68357 3.83698 2.90529 1.90312 0.846222 -0.248732 -1.36446 -2.48333 -3.58765 -4.65992 -5.68315
- -6.64107 -7.51841 -8.30113 -8.9766 -9.53382 -9.96352 -10.2581 -10.3494 -9.87623 -9.81637 -9.51923 -9.08766
- -8.52905 -7.85253 -7.06901 -6.19105 -5.23266 -4.20909 -3.13658 -2.03213 -0.91324 0.202404 1.29716 2.35373
- 3.35543 4.28646 5.13214 5.87921 6.51601 7.03269 7.42144 7.67661 7.79482 7.79482 7.67661 7.42144
- 7.03269 6.51601 5.87921 5.13214 4.28646 3.35543 2.35373 1.29716 0.202404 -0.91324 -2.03213 -3.13658
- -4.20909 -5.23266 -6.19105 -7.06901 -7.85253 -8.52905 -9.08766 -9.51923 -9.81637 -9.87623 -9.34329 -9.31142
- -9.01239 -8.57938 -8.01961 -7.34212 -6.55775 -5.67902 -4.71992 -3.69569 -2.62256 -1.51755 -0.398136 0.717955
- 1.81307 2.86988 3.87165 4.80252 5.64776 6.39397 7.02936 7.54391 7.92953 8.18026 8.29235 8.29235
- 8.18026 7.92953 7.54391 7.02936 6.39397 5.64776 4.80252 3.87165 2.86988 1.81307 0.717955 -0.398136
- -1.51755 -2.62256 -3.69569 -4.71992 -5.67902 -6.55775 -7.34212 -8.01961 -8.57938 -9.01239 -9.31142 -9.34329
- -8.78403 -8.77516 -8.47479 -8.04068 -7.4799 -6.80144 -6.01612 -5.13642 -4.17634 -3.15109 -2.07693 -0.97088
- 0.149555 1.26664 2.36267 3.42028 4.42269 5.35396 6.19925 6.94506 7.5794 8.09205 8.47466 8.72088
- 8.82656 8.82656 8.72088 8.47466 8.09205 7.5794 6.94506 6.19925 5.35396 4.42269 3.42028 2.36267
- 1.26664 0.149555 -0.97088 -2.07693 -3.15109 -4.17634 -5.13642 -6.01612 -6.80144 -7.4799 -8.04068 -8.47479
- -8.77516 -8.78403 -8.23358 -8.24186 -7.94056 -7.50555 -6.94383 -6.26435 -5.4779 -4.59699 -3.63559 -2.60895
- -1.53333 -0.42576 0.696218 1.81483 2.91235 3.97134 4.97496 5.90719 6.75308 7.49899 8.13276 8.64393
- 9.02385 9.26581 9.36521 9.36521 9.26581 9.02385 8.64393 8.13276 7.49899 6.75308 5.90719 4.97496
- 3.97134 2.91235 1.81483 0.696218 -0.42576 -1.53333 -2.60895 -3.63559 -4.59699 -5.4779 -6.26435 -6.94383
- -7.50555 -7.94056 -8.24186 -8.23358 -7.72655 -7.74587 -7.44393 -7.00815 -6.44546 -5.76482 -4.97704 -4.09462
- -3.13156 -2.10312 -1.02558 0.0839889 1.20802 2.3287 3.42824 4.48917 5.49457 6.42832 7.27538 8.02195
- 8.6557 9.16594 9.54371 9.78194 9.87558 9.87558 9.78194 9.54371 9.16594 8.6557 8.02195 7.27538
- 6.42832 5.49457 4.48917 3.42824 2.3287 1.20802 0.0839889 -1.02558 -2.10312 -3.13156 -4.09462 -4.97704
- -5.76482 -6.44546 -7.00815 -7.44393 -7.74587 -7.72655 -7.29478 -7.31951 -7.01712 -6.58058 -6.01683 -5.33484
- -4.54546 -3.66121 -2.69611 -1.66546 -0.585566 0.526471 1.65304 2.77629 3.87838 4.94177 5.94947 6.88528
- 7.73405 8.48186 9.11619 9.62614 10.0025 10.2378 10.3266 10.3266 10.2378 10.0025 9.62614 9.11619
- 8.48186 7.73405 6.88528 5.94947 4.94177 3.87838 2.77629 1.65304 0.526471 -0.585566 -1.66546 -2.69611
- -3.66121 -4.54546 -5.33484 -6.01683 -6.58058 -7.01712 -7.31951 -7.29478 -6.9654 -6.9911 -6.68834 -6.25096
- -5.68597 -5.00238 -4.2111 -3.32467 -2.35716 -1.32389 -0.241217 0.873731 2.0033 3.12957 4.23467 5.30099
- 6.31147 7.24984 8.10084 8.85043 9.48596 9.99632 10.372 10.6054 10.6907 10.6907 10.6054 10.372
- 9.99632 9.48596 8.85043 8.10084 7.24984 6.31147 5.30099 4.23467 3.12957 2.0033 0.873731 -0.241217
- -1.32389 -2.35716 -3.32467 -4.2111 -5.00238 -5.68597 -6.25096 -6.68834 -6.9911 -6.9654 -6.75912 -6.78327
- -6.48004 -6.04162 -5.47512 -4.78965 -3.99613 -3.10718 -2.13688 -1.1006 -0.0147389 1.10353 2.23649 3.36621
- 4.47473 5.54439 6.55807 7.49943 8.35312 9.10502 9.74235 10.2539 10.6299 10.8626 10.9458 10.9458
- 10.8626 10.6299 10.2539 9.74235 9.10502 8.35312 7.49943 6.55807 5.54439 4.47473 3.36621 2.23649
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diff --git a/test/references/test_ff_navierstokes_kovasznay_higherorder-reference.vtu b/test/references/test_ff_navierstokes_kovasznay_higherorder-reference.vtu
new file mode 100644
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