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| 1 | // -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- | ||
| 2 | // vi: set et ts=4 sw=4 sts=4: | ||
| 3 | // | ||
| 4 | // SPDX-FileCopyrightInfo: Copyright © DuMux Project contributors, see AUTHORS.md in root folder | ||
| 5 | // SPDX-License-Identifier: GPL-3.0-or-later | ||
| 6 | // | ||
| 7 | /*! | ||
| 8 | * \file | ||
| 9 | * \ingroup FacetCoupling | ||
| 10 | * \copydoc Dumux::BoxFacetCouplingDarcysLaw | ||
| 11 | */ | ||
| 12 | #ifndef DUMUX_DISCRETIZATION_BOX_FACET_COUPLING_DARCYS_LAW_HH | ||
| 13 | #define DUMUX_DISCRETIZATION_BOX_FACET_COUPLING_DARCYS_LAW_HH | ||
| 14 | |||
| 15 | #include <vector> | ||
| 16 | #include <cmath> | ||
| 17 | |||
| 18 | #include <dune/common/exceptions.hh> | ||
| 19 | #include <dune/common/fvector.hh> | ||
| 20 | #include <dune/common/float_cmp.hh> | ||
| 21 | |||
| 22 | #include <dumux/common/parameters.hh> | ||
| 23 | #include <dumux/common/properties.hh> | ||
| 24 | |||
| 25 | #include <dumux/discretization/method.hh> | ||
| 26 | #include <dumux/discretization/extrusion.hh> | ||
| 27 | #include <dumux/flux/cvfe/darcyslaw.hh> | ||
| 28 | |||
| 29 | namespace Dumux { | ||
| 30 | |||
| 31 | /*! | ||
| 32 | * \ingroup FacetCoupling | ||
| 33 | * \brief Darcy's law for the box scheme in the context of coupled models | ||
| 34 | * where coupling occurs across the facets of the bulk domain elements | ||
| 35 | * with a lower-dimensional domain living on these facets. | ||
| 36 | */ | ||
| 37 | template<class Scalar, class GridGeometry> | ||
| 38 | class BoxFacetCouplingDarcysLaw | ||
| 39 | { | ||
| 40 | using DefaultDarcysLaw = CVFEDarcysLaw<Scalar, GridGeometry>; | ||
| 41 | |||
| 42 | using FVElementGeometry = typename GridGeometry::LocalView; | ||
| 43 | using SubControlVolume = typename GridGeometry::SubControlVolume; | ||
| 44 | using SubControlVolumeFace = typename GridGeometry::SubControlVolumeFace; | ||
| 45 | using Extrusion = Extrusion_t<GridGeometry>; | ||
| 46 | using GridView = typename GridGeometry::GridView; | ||
| 47 | using Element = typename GridView::template Codim<0>::Entity; | ||
| 48 | using CoordScalar = typename GridView::ctype; | ||
| 49 | using GlobalPosition = typename Element::Geometry::GlobalCoordinate; | ||
| 50 | |||
| 51 | static constexpr int dim = GridView::dimension; | ||
| 52 | static constexpr int dimWorld = GridView::dimensionworld; | ||
| 53 | |||
| 54 | public: | ||
| 55 | |||
| 56 | template<class Problem, class ElementVolumeVariables, class ElementFluxVarsCache> | ||
| 57 | 10192472 | static Scalar flux(const Problem& problem, | |
| 58 | const Element& element, | ||
| 59 | const FVElementGeometry& fvGeometry, | ||
| 60 | const ElementVolumeVariables& elemVolVars, | ||
| 61 | const SubControlVolumeFace& scvf, | ||
| 62 | const int phaseIdx, | ||
| 63 | const ElementFluxVarsCache& elemFluxVarCache) | ||
| 64 | { | ||
| 65 | // if this scvf is not on an interior boundary, use the standard law | ||
| 66 |
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10192472 | if (!scvf.interiorBoundary()) |
| 67 | 9306720 | return DefaultDarcysLaw::flux(problem, element, fvGeometry, elemVolVars, scvf, phaseIdx, elemFluxVarCache); | |
| 68 | |||
| 69 |
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885752 | static const Scalar xi = getParamFromGroup<Scalar>(problem.paramGroup(), "FacetCoupling.Xi", 1.0); |
| 70 |
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885752 | if ( !Dune::FloatCmp::eq(xi, 1.0, 1e-6) ) |
| 71 | ✗ | DUNE_THROW(Dune::NotImplemented, "Xi != 1.0 cannot be used with the Box-Facet-Coupling scheme"); | |
| 72 | |||
| 73 | // get some references for convenience | ||
| 74 |
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885752 | const auto& fluxVarCache = elemFluxVarCache[scvf]; |
| 75 |
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885752 | const auto& shapeValues = fluxVarCache.shapeValues(); |
| 76 |
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1771504 | const auto& insideScv = fvGeometry.scv(scvf.insideScvIdx()); |
| 77 |
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885752 | const auto& insideVolVars = elemVolVars[insideScv]; |
| 78 | |||
| 79 | // evaluate user-defined interior boundary types | ||
| 80 |
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885752 | const auto bcTypes = problem.interiorBoundaryTypes(element, scvf); |
| 81 | |||
| 82 |
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885752 | static const bool enableGravity = getParamFromGroup<bool>(problem.paramGroup(), "Problem.EnableGravity"); |
| 83 | |||
| 84 | // on interior Neumann boundaries, evaluate the flux using the facet permeability | ||
| 85 |
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1771504 | if (bcTypes.hasOnlyNeumann()) |
| 86 | { | ||
| 87 | // interpolate pressure/density to scvf integration point | ||
| 88 | 881672 | Scalar p = 0.0; | |
| 89 | 881672 | Scalar rho = 0.0; | |
| 90 |
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8718800 | for (const auto& scv : scvs(fvGeometry)) |
| 91 | { | ||
| 92 | 3477728 | const auto& volVars = elemVolVars[scv]; | |
| 93 | 6955456 | p += volVars.pressure(phaseIdx)*shapeValues[scv.indexInElement()][0]; | |
| 94 | 6955456 | rho += volVars.density(phaseIdx)*shapeValues[scv.indexInElement()][0]; | |
| 95 | } | ||
| 96 | |||
| 97 | // compute tpfa flux from integration point to facet centerline | ||
| 98 | 1763344 | const auto& facetVolVars = problem.couplingManager().getLowDimVolVars(element, scvf); | |
| 99 | |||
| 100 | using std::sqrt; | ||
| 101 | // If this is a surface grid, use the square root of the facet extrusion factor | ||
| 102 | // as an approximate average distance from scvf ip to facet center | ||
| 103 | using std::sqrt; | ||
| 104 | 881672 | const auto a = facetVolVars.extrusionFactor(); | |
| 105 | 881672 | auto gradP = scvf.unitOuterNormal(); | |
| 106 | 881672 | gradP *= dim == dimWorld ? 0.5*a : 0.5*sqrt(a); | |
| 107 | 881672 | gradP /= gradP.two_norm2(); | |
| 108 | 1763344 | gradP *= (facetVolVars.pressure(phaseIdx) - p); | |
| 109 |
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881672 | if (enableGravity) |
| 110 | ✗ | gradP.axpy(-rho, problem.spatialParams().gravity(scvf.center())); | |
| 111 | |||
| 112 | // apply facet permeability and return the flux | ||
| 113 | 881672 | return -1.0*Extrusion::area(fvGeometry, scvf) | |
| 114 | 881672 | *insideVolVars.extrusionFactor() | |
| 115 | 2645016 | *vtmv(scvf.unitOuterNormal(), facetVolVars.permeability(), gradP); | |
| 116 | } | ||
| 117 | |||
| 118 | // on interior Dirichlet boundaries use the facet pressure and evaluate flux | ||
| 119 |
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8160 | else if (bcTypes.hasOnlyDirichlet()) |
| 120 | { | ||
| 121 | // create vector with nodal pressures | ||
| 122 |
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12240 | std::vector<Scalar> pressures(element.subEntities(dim)); |
| 123 |
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32640 | for (const auto& scv : scvs(fvGeometry)) |
| 124 | 48960 | pressures[scv.localDofIndex()] = elemVolVars[scv].pressure(phaseIdx); | |
| 125 | |||
| 126 | // substitute with facet pressures for those scvs touching this facet | ||
| 127 |
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28560 | for (const auto& scvfJ : scvfs(fvGeometry)) |
| 128 |
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20400 | if (scvfJ.interiorBoundary() && scvfJ.facetIndexInElement() == scvf.facetIndexInElement()) |
| 129 | 24480 | pressures[ fvGeometry.scv(scvfJ.insideScvIdx()).localDofIndex() ] | |
| 130 |
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16320 | = problem.couplingManager().getLowDimVolVars(element, scvfJ).pressure(phaseIdx); |
| 131 | |||
| 132 | // evaluate gradP - rho*g at integration point | ||
| 133 | 4080 | Scalar rho(0.0); | |
| 134 | 4080 | Dune::FieldVector<Scalar, dimWorld> gradP(0.0); | |
| 135 |
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32640 | for (const auto& scv : scvs(fvGeometry)) |
| 136 | { | ||
| 137 | 36720 | rho += elemVolVars[scv].density(phaseIdx)*shapeValues[scv.indexInElement()][0]; | |
| 138 | 48960 | gradP.axpy(pressures[scv.localDofIndex()], fluxVarCache.gradN(scv.indexInElement())); | |
| 139 | } | ||
| 140 | |||
| 141 |
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4080 | if (enableGravity) |
| 142 | ✗ | gradP.axpy(-rho, problem.spatialParams().gravity(scvf.center())); | |
| 143 | |||
| 144 | // apply matrix permeability and return the flux | ||
| 145 | 4080 | return -1.0*Extrusion::area(fvGeometry, scvf) | |
| 146 | 4080 | *insideVolVars.extrusionFactor() | |
| 147 |
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12240 | *vtmv(scvf.unitOuterNormal(), insideVolVars.permeability(), gradP); |
| 148 | } | ||
| 149 | |||
| 150 | // mixed boundary types are not supported | ||
| 151 | else | ||
| 152 | ✗ | DUNE_THROW(Dune::NotImplemented, "Mixed boundary types are not supported"); | |
| 153 | } | ||
| 154 | |||
| 155 | // compute transmissibilities ti for analytical jacobians | ||
| 156 | template<class Problem, class ElementVolumeVariables, class FluxVarCache> | ||
| 157 | static std::vector<Scalar> calculateTransmissibilities(const Problem& problem, | ||
| 158 | const Element& element, | ||
| 159 | const FVElementGeometry& fvGeometry, | ||
| 160 | const ElementVolumeVariables& elemVolVars, | ||
| 161 | const SubControlVolumeFace& scvf, | ||
| 162 | const FluxVarCache& fluxVarCache) | ||
| 163 | { | ||
| 164 | DUNE_THROW(Dune::NotImplemented, "transmissibilty computation for BoxFacetCouplingDarcysLaw"); | ||
| 165 | } | ||
| 166 | }; | ||
| 167 | |||
| 168 | } // end namespace Dumux | ||
| 169 | |||
| 170 | #endif | ||
| 171 |