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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::BoxFacetCouplingFouriersLaw | ||
| 11 | */ | ||
| 12 | #ifndef DUMUX_DISCRETIZATION_BOX_FACET_COUPLING_FOURIERS_LAW_HH | ||
| 13 | #define DUMUX_DISCRETIZATION_BOX_FACET_COUPLING_FOURIERS_LAW_HH | ||
| 14 | |||
| 15 | #include <cmath> | ||
| 16 | #include <vector> | ||
| 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/math.hh> | ||
| 23 | #include <dumux/common/parameters.hh> | ||
| 24 | #include <dumux/common/properties.hh> | ||
| 25 | |||
| 26 | #include <dumux/flux/referencesystemformulation.hh> | ||
| 27 | #include <dumux/flux/box/fourierslaw.hh> | ||
| 28 | #include <dumux/discretization/method.hh> | ||
| 29 | #include <dumux/discretization/extrusion.hh> | ||
| 30 | |||
| 31 | namespace Dumux { | ||
| 32 | |||
| 33 | /*! | ||
| 34 | * \ingroup FacetCoupling | ||
| 35 | * \brief Fourier's law for the box scheme in the context of coupled models | ||
| 36 | * where coupling occurs across the facets of the bulk domain elements | ||
| 37 | * with a lower-dimensional domain living on these facets. | ||
| 38 | */ | ||
| 39 | template<class TypeTag> | ||
| 40 | class BoxFacetCouplingFouriersLaw | ||
| 41 | : public FouriersLawImplementation<TypeTag, DiscretizationMethods::Box> | ||
| 42 | { | ||
| 43 | using ParentType = FouriersLawImplementation<TypeTag, DiscretizationMethods::Box>; | ||
| 44 | |||
| 45 | using Scalar = GetPropType<TypeTag, Properties::Scalar>; | ||
| 46 | using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>; | ||
| 47 | using FVElementGeometry = typename GridGeometry::LocalView; | ||
| 48 | using SubControlVolume = typename GridGeometry::SubControlVolume; | ||
| 49 | using SubControlVolumeFace = typename GridGeometry::SubControlVolumeFace; | ||
| 50 | using Extrusion = Extrusion_t<GridGeometry>; | ||
| 51 | using GridView = typename GridGeometry::GridView; | ||
| 52 | using Element = typename GridView::template Codim<0>::Entity; | ||
| 53 | using CoordScalar = typename GridView::ctype; | ||
| 54 | using GlobalPosition = typename Element::Geometry::GlobalCoordinate; | ||
| 55 | |||
| 56 | static constexpr int dim = GridView::dimension; | ||
| 57 | static constexpr int dimWorld = GridView::dimensionworld; | ||
| 58 | |||
| 59 | public: | ||
| 60 | |||
| 61 | /*! | ||
| 62 | * \brief Compute the conductive heat flux across a sub-control volume face. | ||
| 63 | */ | ||
| 64 | template<class Problem, class ElementVolumeVariables, class ElementFluxVarsCache> | ||
| 65 | 4612608 | static Scalar flux(const Problem& problem, | |
| 66 | const Element& element, | ||
| 67 | const FVElementGeometry& fvGeometry, | ||
| 68 | const ElementVolumeVariables& elemVolVars, | ||
| 69 | const SubControlVolumeFace& scvf, | ||
| 70 | const ElementFluxVarsCache& elemFluxVarCache) | ||
| 71 | { | ||
| 72 | // if this scvf is not on an interior boundary, use the standard law | ||
| 73 |
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4612608 | if (!scvf.interiorBoundary()) |
| 74 | 4239872 | return ParentType::flux(problem, element, fvGeometry, elemVolVars, scvf, elemFluxVarCache); | |
| 75 | |||
| 76 |
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372736 | static const Scalar xi = getParamFromGroup<Scalar>(problem.paramGroup(), "FacetCoupling.Xi", 1.0); |
| 77 |
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372736 | if ( !Dune::FloatCmp::eq(xi, 1.0, 1e-6) ) |
| 78 | ✗ | DUNE_THROW(Dune::NotImplemented, "Xi != 1.0 cannot be used with the Box-Facet-Coupling scheme"); | |
| 79 | |||
| 80 | // get some references for convenience | ||
| 81 | 372736 | const auto& fluxVarCache = elemFluxVarCache[scvf]; | |
| 82 | 372736 | const auto& shapeValues = fluxVarCache.shapeValues(); | |
| 83 | 745472 | const auto& insideScv = fvGeometry.scv(scvf.insideScvIdx()); | |
| 84 | 372736 | const auto& insideVolVars = elemVolVars[insideScv]; | |
| 85 | |||
| 86 | // on interior Neumann boundaries, evaluate the flux using the facet thermal conductivity | ||
| 87 | 372736 | const auto bcTypes = problem.interiorBoundaryTypes(element, scvf); | |
| 88 |
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745472 | if (bcTypes.hasOnlyNeumann()) |
| 89 | { | ||
| 90 | // compute tpfa flux from integration point to facet centerline | ||
| 91 | 745472 | const auto& facetVolVars = problem.couplingManager().getLowDimVolVars(element, scvf); | |
| 92 | |||
| 93 | // interpolate temperature to scvf integration point | ||
| 94 | 372736 | Scalar T = 0.0; | |
| 95 |
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3727360 | for (const auto& scv : scvs(fvGeometry)) |
| 96 | 5963776 | T += elemVolVars[scv].temperature()*shapeValues[scv.indexInElement()][0]; | |
| 97 | |||
| 98 | using std::sqrt; | ||
| 99 | // If this is a surface grid, use the square root of the facet extrusion factor | ||
| 100 | // as an approximate average distance from scvf ip to facet center | ||
| 101 | using std::sqrt; | ||
| 102 | 372736 | const auto a = facetVolVars.extrusionFactor(); | |
| 103 | 372736 | auto gradT = scvf.unitOuterNormal(); | |
| 104 | 372736 | gradT *= dim == dimWorld ? 0.5*a : 0.5*sqrt(a); | |
| 105 | 372736 | gradT /= gradT.two_norm2(); | |
| 106 | 745472 | gradT *= (facetVolVars.temperature() - T); | |
| 107 | |||
| 108 | 372736 | return -1.0*Extrusion::area(fvGeometry, scvf) | |
| 109 | 372736 | *insideVolVars.extrusionFactor() | |
| 110 | 1118208 | *vtmv(scvf.unitOuterNormal(), | |
| 111 | facetVolVars.effectiveThermalConductivity(), | ||
| 112 | 372736 | gradT); | |
| 113 | } | ||
| 114 | |||
| 115 | // on interior Dirichlet boundaries use the facet temperature and evaluate flux | ||
| 116 | ✗ | else if (bcTypes.hasOnlyDirichlet()) | |
| 117 | { | ||
| 118 | // create vector with nodal temperatures | ||
| 119 | ✗ | std::vector<Scalar> temperatures(element.subEntities(dim)); | |
| 120 | ✗ | for (const auto& scv : scvs(fvGeometry)) | |
| 121 | ✗ | temperatures[scv.localDofIndex()] = elemVolVars[scv].temperature(); | |
| 122 | |||
| 123 | // substitute with facet temperatures for those scvs touching this facet | ||
| 124 | ✗ | for (const auto& scvfJ : scvfs(fvGeometry)) | |
| 125 | ✗ | if (scvfJ.interiorBoundary() && scvfJ.facetIndexInElement() == scvf.facetIndexInElement()) | |
| 126 | ✗ | temperatures[ fvGeometry.scv(scvfJ.insideScvIdx()).localDofIndex() ] | |
| 127 | ✗ | = problem.couplingManager().getLowDimVolVars(element, scvfJ).temperature(); | |
| 128 | |||
| 129 | // evaluate gradT at integration point | ||
| 130 | ✗ | Dune::FieldVector<Scalar, dimWorld> gradT(0.0); | |
| 131 | ✗ | for (const auto& scv : scvs(fvGeometry)) | |
| 132 | ✗ | gradT.axpy(temperatures[scv.localDofIndex()], fluxVarCache.gradN(scv.indexInElement())); | |
| 133 | |||
| 134 | // apply matrix thermal conductivity and return the flux | ||
| 135 | ✗ | return -1.0*Extrusion::area(fvGeometry, scvf) | |
| 136 | ✗ | *insideVolVars.extrusionFactor() | |
| 137 | ✗ | *vtmv(scvf.unitOuterNormal(), | |
| 138 | insideVolVars.effectiveThermalConductivity(), | ||
| 139 | ✗ | gradT); | |
| 140 | } | ||
| 141 | |||
| 142 | // mixed boundary types are not supported | ||
| 143 | else | ||
| 144 | ✗ | DUNE_THROW(Dune::NotImplemented, "Mixed boundary types are not supported"); | |
| 145 | } | ||
| 146 | |||
| 147 | // compute transmissibilities ti for analytical jacobians | ||
| 148 | template<class Problem, class ElementVolumeVariables, class FluxVarCache> | ||
| 149 | static std::vector<Scalar> calculateTransmissibilities(const Problem& problem, | ||
| 150 | const Element& element, | ||
| 151 | const FVElementGeometry& fvGeometry, | ||
| 152 | const ElementVolumeVariables& elemVolVars, | ||
| 153 | const SubControlVolumeFace& scvf, | ||
| 154 | const FluxVarCache& fluxVarCache, | ||
| 155 | unsigned int phaseIdx) | ||
| 156 | { | ||
| 157 | DUNE_THROW(Dune::NotImplemented, "transmissibilty computation for BoxFacetCouplingFouriersLaw"); | ||
| 158 | } | ||
| 159 | }; | ||
| 160 | |||
| 161 | } // end namespace Dumux | ||
| 162 | |||
| 163 | #endif | ||
| 164 |