From 758cb98deb3f4afc2eb314bf8f5538d4d6a490a1 Mon Sep 17 00:00:00 2001
From: "Dennis.Glaeser" <dennis.glaeser@iws.uni-stuttgart.de>
Date: Fri, 9 Aug 2019 14:05:36 +0200
Subject: [PATCH] [facet][box] do not use support points for coupling fluxes
This reverts changes introduced in
aa5951f51f78fc8d7db0bb9dd22b8f90c4b6d52d and the following commits.
It turned out that doing the flux computation on the basis of a support
point inside the cell and then a tpfa flux towards the facet elements
performed very bad for anisotropic tensors.
---
dumux/multidomain/facet/box/darcyslaw.hh | 128 +-
...et_1p1p_threedomain_box_bulk-reference.vtu | 88 +-
...et_1p1p_threedomain_box_edge-reference.vtp | 2 +-
...t_1p1p_threedomain_box_facet-reference.vtu | 10 +-
...t_tracertracer_box_onep_bulk-reference.vtu | 964 +++++-----
...tracertracer_box_onep_lowdim-reference.vtp | 18 +-
...tracertracer_box_tracer_bulk-reference.vtu | 1658 ++++++++---------
...acertracer_box_tracer_lowdim-reference.vtp | 36 +-
8 files changed, 1452 insertions(+), 1452 deletions(-)
diff --git a/dumux/multidomain/facet/box/darcyslaw.hh b/dumux/multidomain/facet/box/darcyslaw.hh
index 83566814a6..85e1d70340 100644
--- a/dumux/multidomain/facet/box/darcyslaw.hh
+++ b/dumux/multidomain/facet/box/darcyslaw.hh
@@ -87,80 +87,80 @@ public:
const auto& insideScv = fvGeometry.scv(scvf.insideScvIdx());
const auto& insideVolVars = elemVolVars[insideScv];
- // Evaluate the flux in a tpfa manner using a support point inside the element.
- // Therefore, we create a segment between the integration point and another point
- // in -(K*normal) direction of the face. This segment must be long enough
- // to intersect the opposite face of the element. Then, we compute the
- // part of the segment intersecting with the element and compute the
- // point inside the element by moving half its length into the interior.
- const auto& geometry = element.geometry();
- auto distVec = mv(insideVolVars.permeability(), scvf.unitOuterNormal());
- distVec /= -1.0*distVec.two_norm();
- distVec *= diameter(geometry)*5.0; // make sure segment will be long enough
-
- const auto p1 = scvf.ipGlobal();
- auto p2 = scvf.ipGlobal();
- p2 += distVec;
-
- static constexpr int dimWorld = GridView::dimensionworld;
- using Segment = Dune::MultiLinearGeometry<Scalar, 1, dimWorld>;
-
- using Policy = IntersectionPolicy::SegmentPolicy<typename GridView::ctype, dimWorld>;
- using IntersectionAlgorithm = GeometryIntersection<typename Element::Geometry, Segment, Policy>;
- typename IntersectionAlgorithm::Intersection intersection;
-
- Segment segment(Dune::GeometryTypes::line, std::vector<GlobalPosition>({p1, p2}));
- if (!IntersectionAlgorithm::intersection(geometry, segment, intersection))
- DUNE_THROW(Dune::InvalidStateException, "Could not compute support point for flux computation");
-
- // use center of intersection as integration point
- auto supportPoint = intersection[0];
- supportPoint += intersection[1];
- supportPoint /= 2.0;
-
- std::vector< Dune::FieldVector<Scalar, 1> > supportPointShapeValues;
- fvGeometry.feLocalBasis().evaluateFunction(geometry.local(supportPoint), supportPointShapeValues);
-
- Scalar rho = 0.0;
- Scalar supportPressure = 0.0;
- for (const auto& scv : scvs(fvGeometry))
- {
- const auto& volVars = elemVolVars[scv];
- rho += volVars.density(phaseIdx)*shapeValues[scv.indexInElement()][0];
- supportPressure += volVars.pressure(phaseIdx)*supportPointShapeValues[scv.indexInElement()][0];
- }
-
- // the transmissibility on the matrix side
- const auto d = scvf.ipGlobal() - supportPoint;
- const auto tm = 1.0/d.two_norm2()*vtmv(d, insideVolVars.permeability(), scvf.unitOuterNormal());
-
- // compute flux depending on the user's choice of boundary types
+ // evaluate user-defined interior boundary types
const auto bcTypes = problem.interiorBoundaryTypes(element, scvf);
- const auto& facetVolVars = problem.couplingManager().getLowDimVolVars(element, scvf);
- // compute tpfa flux such that flux continuity holds with flux in fracture
- Scalar flux;
+ static const bool enableGravity = getParamFromGroup<bool>(problem.paramGroup(), "Problem.EnableGravity");
+
+ // on interior Neumann boundaries, evaluate the flux using the facet permeability
if (bcTypes.hasOnlyNeumann())
{
- // On surface grids, use sqrt of aperture as distance measur
- using std::sqrt;
- const auto df = dim == dimWorld ? 0.5*facetVolVars.extrusionFactor() : 0.5*sqrt(facetVolVars.extrusionFactor());
- const auto tf = 1.0/df*vtmv(scvf.unitOuterNormal(), facetVolVars.permeability(), scvf.unitOuterNormal());
+ // interpolate pressure/density to scvf integration point
+ Scalar p = 0.0;
+ Scalar rho = 0.0;
+ for (const auto& scv : scvs(fvGeometry))
+ {
+ const auto& volVars = elemVolVars[scv];
+ p += volVars.pressure(phaseIdx)*shapeValues[scv.indexInElement()][0];
+ rho += volVars.density(phaseIdx)*shapeValues[scv.indexInElement()][0];
+ }
+
+ // compute tpfa flux from integration point to facet centerline
+ const auto& facetVolVars = problem.couplingManager().getLowDimVolVars(element, scvf);
- flux = tm*tf/(tm+tf)*(supportPressure - facetVolVars.pressure(phaseIdx))*scvf.area()*insideVolVars.extrusionFactor();
+ using std::sqrt;
+ // If this is a surface grid, use the square root of the facet extrusion factor
+ // as an approximate average distance from scvf ip to facet center
+ using std::sqrt;
+ const auto a = facetVolVars.extrusionFactor();
+ auto gradP = scvf.unitOuterNormal();
+ gradP *= dim == dimWorld ? 0.5*a : 0.5*sqrt(a);
+ gradP /= gradP.two_norm2();
+ gradP *= (facetVolVars.pressure(phaseIdx) - p);
+ if (enableGravity)
+ gradP.axpy(-rho, problem.spatialParams().gravity(scvf.center()));
+
+ // apply facet permeability and return the flux
+ return -1.0*scvf.area()
+ *insideVolVars.extrusionFactor()
+ *vtmv(scvf.unitOuterNormal(), facetVolVars.permeability(), gradP);
}
+
+ // on interior Dirichlet boundaries use the facet pressure and evaluate flux
else if (bcTypes.hasOnlyDirichlet())
- flux = tm*(supportPressure - facetVolVars.pressure(phaseIdx))*scvf.area()*insideVolVars.extrusionFactor();
+ {
+ // create vector with nodal pressures
+ std::vector<Scalar> pressures(element.subEntities(dim));
+ for (const auto& scv : scvs(fvGeometry))
+ pressures[scv.localDofIndex()] = elemVolVars[scv].pressure(phaseIdx);
+
+ // substitute with facet pressures for those scvs touching this facet
+ for (const auto& scvfJ : scvfs(fvGeometry))
+ if (scvfJ.interiorBoundary() && scvfJ.facetIndexInElement() == scvf.facetIndexInElement())
+ pressures[ fvGeometry.scv(scvfJ.insideScvIdx()).localDofIndex() ]
+ = problem.couplingManager().getLowDimVolVars(element, scvfJ).pressure(phaseIdx);
+
+ // evaluate gradP - rho*g at integration point
+ Scalar rho(0.0);
+ Dune::FieldVector<Scalar, dimWorld> gradP(0.0);
+ for (const auto& scv : scvs(fvGeometry))
+ {
+ rho += elemVolVars[scv].density(phaseIdx)*shapeValues[scv.indexInElement()][0];
+ gradP.axpy(pressures[scv.localDofIndex()], fluxVarCache.gradN(scv.indexInElement()));
+ }
+
+ if (enableGravity)
+ gradP.axpy(-rho, problem.spatialParams().gravity(scvf.center()));
+
+ // apply matrix permeability and return the flux
+ return -1.0*scvf.area()
+ *insideVolVars.extrusionFactor()
+ *vtmv(scvf.unitOuterNormal(), insideVolVars.permeability(), gradP);
+ }
+
// mixed boundary types are not supported
else
DUNE_THROW(Dune::NotImplemented, "Mixed boundary types are not supported");
-
- static const bool enableGravity = getParamFromGroup<bool>(problem.paramGroup(), "Problem.EnableGravity");
- if (enableGravity)
- flux -= rho*scvf.area()*insideVolVars.extrusionFactor()
- *vtmv(scvf.unitOuterNormal(), insideVolVars.permeability(), problem.spatialParams().gravity(scvf.center()));
-
- return flux;
}
// compute transmissibilities ti for analytical jacobians
diff --git a/test/references/test_md_facet_1p1p_threedomain_box_bulk-reference.vtu b/test/references/test_md_facet_1p1p_threedomain_box_bulk-reference.vtu
index aee2101936..674c7c9ddb 100644
--- a/test/references/test_md_facet_1p1p_threedomain_box_bulk-reference.vtu
+++ b/test/references/test_md_facet_1p1p_threedomain_box_bulk-reference.vtu
@@ -4,50 +4,50 @@
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diff --git a/test/references/test_md_facet_1p1p_threedomain_box_edge-reference.vtp b/test/references/test_md_facet_1p1p_threedomain_box_edge-reference.vtp
index dd34bad733..4aff8101ef 100644
--- a/test/references/test_md_facet_1p1p_threedomain_box_edge-reference.vtp
+++ b/test/references/test_md_facet_1p1p_threedomain_box_edge-reference.vtp
@@ -4,7 +4,7 @@
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<PointData Scalars="p">
<DataArray type="Float32" Name="p" NumberOfComponents="1" format="ascii">
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+ 1.50561 1.50403 1.50065 1.49728 1.49572
</DataArray>
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diff --git a/test/references/test_md_facet_1p1p_threedomain_box_facet-reference.vtu b/test/references/test_md_facet_1p1p_threedomain_box_facet-reference.vtu
index 6cf7066533..29c177c705 100644
--- a/test/references/test_md_facet_1p1p_threedomain_box_facet-reference.vtu
+++ b/test/references/test_md_facet_1p1p_threedomain_box_facet-reference.vtu
@@ -4,11 +4,11 @@
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diff --git a/test/references/test_md_facet_tracertracer_box_onep_bulk-reference.vtu b/test/references/test_md_facet_tracertracer_box_onep_bulk-reference.vtu
index fd6992501d..4c70b7646d 100644
--- a/test/references/test_md_facet_tracertracer_box_onep_bulk-reference.vtu
+++ b/test/references/test_md_facet_tracertracer_box_onep_bulk-reference.vtu
@@ -4,488 +4,488 @@
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diff --git a/test/references/test_md_facet_tracertracer_box_onep_lowdim-reference.vtp b/test/references/test_md_facet_tracertracer_box_onep_lowdim-reference.vtp
index 3f197d5347..95159fc1c3 100644
--- a/test/references/test_md_facet_tracertracer_box_onep_lowdim-reference.vtp
+++ b/test/references/test_md_facet_tracertracer_box_onep_lowdim-reference.vtp
@@ -4,15 +4,15 @@
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diff --git a/test/references/test_md_facet_tracertracer_box_tracer_bulk-reference.vtu b/test/references/test_md_facet_tracertracer_box_tracer_bulk-reference.vtu
index 2d03be4d8f..8defb39afd 100644
--- a/test/references/test_md_facet_tracertracer_box_tracer_bulk-reference.vtu
+++ b/test/references/test_md_facet_tracertracer_box_tracer_bulk-reference.vtu
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diff --git a/test/references/test_md_facet_tracertracer_box_tracer_lowdim-reference.vtp b/test/references/test_md_facet_tracertracer_box_tracer_lowdim-reference.vtp
index abf72ffb92..17f62c3cd0 100644
--- a/test/references/test_md_facet_tracertracer_box_tracer_lowdim-reference.vtp
+++ b/test/references/test_md_facet_tracertracer_box_tracer_lowdim-reference.vtp
@@ -4,26 +4,26 @@
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</DataArray>
<DataArray type="Float32" Name="rho" NumberOfComponents="1" format="ascii">
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--
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