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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 CCTpfaFlux | ||
| 10 | * \brief Fourier's law for cell-centered finite volume schemes with two-point flux approximation | ||
| 11 | */ | ||
| 12 | #ifndef DUMUX_DISCRETIZATION_CC_TPFA_FOURIERS_LAW_HH | ||
| 13 | #define DUMUX_DISCRETIZATION_CC_TPFA_FOURIERS_LAW_HH | ||
| 14 | |||
| 15 | #include <dumux/common/parameters.hh> | ||
| 16 | #include <dumux/common/properties.hh> | ||
| 17 | |||
| 18 | #include <dumux/discretization/method.hh> | ||
| 19 | #include <dumux/discretization/extrusion.hh> | ||
| 20 | #include <dumux/discretization/cellcentered/tpfa/computetransmissibility.hh> | ||
| 21 | |||
| 22 | namespace Dumux { | ||
| 23 | |||
| 24 | // forward declaration | ||
| 25 | template<class TypeTag, class DiscretizationMethod> | ||
| 26 | class FouriersLawImplementation; | ||
| 27 | |||
| 28 | /*! | ||
| 29 | * \ingroup CCTpfaFlux | ||
| 30 | * \brief Fourier's law for cell-centered finite volume schemes with two-point flux approximation | ||
| 31 | */ | ||
| 32 | template <class TypeTag> | ||
| 33 | class FouriersLawImplementation<TypeTag, DiscretizationMethods::CCTpfa> | ||
| 34 | { | ||
| 35 | using Implementation = FouriersLawImplementation<TypeTag, DiscretizationMethods::CCTpfa>; | ||
| 36 | using Scalar = GetPropType<TypeTag, Properties::Scalar>; | ||
| 37 | using Problem = GetPropType<TypeTag, Properties::Problem>; | ||
| 38 | using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>; | ||
| 39 | using FVElementGeometry = typename GridGeometry::LocalView; | ||
| 40 | using SubControlVolumeFace = typename GridGeometry::SubControlVolumeFace; | ||
| 41 | using Extrusion = Extrusion_t<GridGeometry>; | ||
| 42 | using GridView = typename GridGeometry::GridView; | ||
| 43 | using ElementVolumeVariables = typename GetPropType<TypeTag, Properties::GridVolumeVariables>::LocalView; | ||
| 44 | using VolumeVariables = typename ElementVolumeVariables::VolumeVariables; | ||
| 45 | using Element = typename GridView::template Codim<0>::Entity; | ||
| 46 | using GridFluxVariablesCache = GetPropType<TypeTag, Properties::GridFluxVariablesCache>; | ||
| 47 | using ElementFluxVarsCache = typename GridFluxVariablesCache::LocalView; | ||
| 48 | using FluxVariablesCache = typename GridFluxVariablesCache::FluxVariablesCache; | ||
| 49 | |||
| 50 | static const int dim = GridView::dimension; | ||
| 51 | static const int dimWorld = GridView::dimensionworld; | ||
| 52 | |||
| 53 | //! Class that fills the cache corresponding to tpfa Fick's Law | ||
| 54 | class TpfaFouriersLawCacheFiller | ||
| 55 | { | ||
| 56 | public: | ||
| 57 | //! Function to fill a TpfaFicksLawCache of a given scvf | ||
| 58 | //! This interface has to be met by any diffusion-related cache filler class | ||
| 59 | template<class FluxVariablesCacheFiller> | ||
| 60 | ✗ | static void fill(FluxVariablesCache& scvfFluxVarsCache, | |
| 61 | const Problem& problem, | ||
| 62 | const Element& element, | ||
| 63 | const FVElementGeometry& fvGeometry, | ||
| 64 | const ElementVolumeVariables& elemVolVars, | ||
| 65 | const SubControlVolumeFace& scvf, | ||
| 66 | const FluxVariablesCacheFiller& fluxVarsCacheFiller) | ||
| 67 | { | ||
| 68 | 142159612 | scvfFluxVarsCache.updateHeatConduction(problem, element, fvGeometry, elemVolVars, scvf); | |
| 69 | ✗ | } | |
| 70 | }; | ||
| 71 | |||
| 72 | //! Class that caches the transmissibility | ||
| 73 | class TpfaFouriersLawCache | ||
| 74 | { | ||
| 75 | public: | ||
| 76 | using Filler = TpfaFouriersLawCacheFiller; | ||
| 77 | |||
| 78 | ✗ | void updateHeatConduction(const Problem& problem, | |
| 79 | const Element& element, | ||
| 80 | const FVElementGeometry& fvGeometry, | ||
| 81 | const ElementVolumeVariables& elemVolVars, | ||
| 82 | const SubControlVolumeFace &scvf) | ||
| 83 | { | ||
| 84 | 67695734 | tij_ = Implementation::calculateTransmissibility(problem, element, fvGeometry, elemVolVars, scvf); | |
| 85 | ✗ | } | |
| 86 | |||
| 87 | const Scalar& heatConductionTij() const | ||
| 88 | { return tij_; } | ||
| 89 | |||
| 90 | private: | ||
| 91 | Scalar tij_; | ||
| 92 | }; | ||
| 93 | |||
| 94 | public: | ||
| 95 | using DiscretizationMethod = DiscretizationMethods::CCTpfa; | ||
| 96 | //! state the discretization method this implementation belongs to | ||
| 97 | static constexpr DiscretizationMethod discMethod{}; | ||
| 98 | |||
| 99 | //! export the type for the corresponding cache | ||
| 100 | using Cache = TpfaFouriersLawCache; | ||
| 101 | |||
| 102 | /*! | ||
| 103 | * \brief Returns the heat flux within the porous medium | ||
| 104 | * (in J/s) across the given sub-control volume face. | ||
| 105 | * \note This law assumes thermal equilibrium between the fluid | ||
| 106 | * and solid phases, and uses an effective thermal conductivity | ||
| 107 | * for the overall aggregate. | ||
| 108 | * This overload allows to explicitly specify the inside and outside volume variables | ||
| 109 | * which can be useful to evaluate conductive fluxes at boundaries with given outside values. | ||
| 110 | * This only works if scvf.numOutsideScv() == 1. | ||
| 111 | * | ||
| 112 | */ | ||
| 113 | static Scalar flux(const Problem& problem, | ||
| 114 | const Element& element, | ||
| 115 | const FVElementGeometry& fvGeometry, | ||
| 116 | const VolumeVariables& insideVolVars, | ||
| 117 | const VolumeVariables& outsideVolVars, | ||
| 118 | const SubControlVolumeFace& scvf, | ||
| 119 | const ElementFluxVarsCache& elemFluxVarsCache) | ||
| 120 | { | ||
| 121 | if constexpr (isMixedDimensional_) | ||
| 122 | if (scvf.numOutsideScv() != 1) | ||
| 123 | DUNE_THROW(Dune::Exception, "This flux overload requires scvf.numOutsideScv() == 1"); | ||
| 124 | |||
| 125 | // heat conductivities are always solution dependent (?) | ||
| 126 | Scalar tij = elemFluxVarsCache[scvf].heatConductionTij(); | ||
| 127 | |||
| 128 | // get the inside/outside temperatures | ||
| 129 | const auto tInside = insideVolVars.temperature(); | ||
| 130 | const auto tOutside = outsideVolVars.temperature(); | ||
| 131 | |||
| 132 | return tij*(tInside - tOutside); | ||
| 133 | } | ||
| 134 | |||
| 135 | /*! | ||
| 136 | * \brief Returns the heat flux within the porous medium | ||
| 137 | * (in J/s) across the given sub-control volume face. | ||
| 138 | * \note This law assumes thermal equilibrium between the fluid | ||
| 139 | * and solid phases, and uses an effective thermal conductivity | ||
| 140 | * for the overall aggregate. | ||
| 141 | */ | ||
| 142 | 73408240 | static Scalar flux(const Problem& problem, | |
| 143 | const Element& element, | ||
| 144 | const FVElementGeometry& fvGeometry, | ||
| 145 | const ElementVolumeVariables& elemVolVars, | ||
| 146 | const SubControlVolumeFace& scvf, | ||
| 147 | const ElementFluxVarsCache& elemFluxVarsCache) | ||
| 148 | { | ||
| 149 | // heat conductivities are always solution dependent (?) | ||
| 150 | 73408240 | Scalar tij = elemFluxVarsCache[scvf].heatConductionTij(); | |
| 151 | |||
| 152 | // get the inside/outside temperatures | ||
| 153 |
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146816480 | const auto tInside = elemVolVars[scvf.insideScvIdx()].temperature(); |
| 154 |
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146816480 | const auto tOutside = scvf.numOutsideScvs() == 1 ? elemVolVars[scvf.outsideScvIdx()].temperature() |
| 155 | ✗ | : branchingFacetTemperature_(problem, element, fvGeometry, elemVolVars, elemFluxVarsCache, scvf, tInside, tij); | |
| 156 | |||
| 157 | 73408240 | return tij*(tInside - tOutside); | |
| 158 | } | ||
| 159 | |||
| 160 | //! Compute transmissibilities | ||
| 161 | 74327582 | static Scalar calculateTransmissibility(const Problem& problem, | |
| 162 | const Element& element, | ||
| 163 | const FVElementGeometry& fvGeometry, | ||
| 164 | const ElementVolumeVariables& elemVolVars, | ||
| 165 | const SubControlVolumeFace& scvf) | ||
| 166 | { | ||
| 167 | Scalar tij; | ||
| 168 | |||
| 169 |
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74327582 | const auto insideScvIdx = scvf.insideScvIdx(); |
| 170 |
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74327582 | const auto& insideScv = fvGeometry.scv(insideScvIdx); |
| 171 | 74327582 | const auto& insideVolVars = elemVolVars[insideScvIdx]; | |
| 172 | |||
| 173 |
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74327582 | const auto insideLambda = insideVolVars.effectiveThermalConductivity(); |
| 174 |
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74327582 | const Scalar ti = computeTpfaTransmissibility(fvGeometry, scvf, insideScv, insideLambda, insideVolVars.extrusionFactor()); |
| 175 | |||
| 176 | // for the boundary (dirichlet) or at branching points we only need ti | ||
| 177 |
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74327582 | if (scvf.boundary() || scvf.numOutsideScvs() > 1) |
| 178 | { | ||
| 179 | 4398240 | tij = Extrusion::area(fvGeometry, scvf)*ti; | |
| 180 | } | ||
| 181 | // otherwise we compute a tpfa harmonic mean | ||
| 182 | else | ||
| 183 | { | ||
| 184 |
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72128462 | const auto outsideScvIdx = scvf.outsideScvIdx(); |
| 185 |
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72128462 | const auto& outsideScv = fvGeometry.scv(outsideScvIdx); |
| 186 | 72128462 | const auto& outsideVolVars = elemVolVars[outsideScvIdx]; | |
| 187 | |||
| 188 |
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72128462 | const auto outsideLambda = outsideVolVars.effectiveThermalConductivity(); |
| 189 | Scalar tj; | ||
| 190 | if constexpr (dim == dimWorld) | ||
| 191 | // assume the normal vector from outside is anti parallel so we save flipping a vector | ||
| 192 |
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68800158 | tj = -1.0*computeTpfaTransmissibility(fvGeometry, scvf, outsideScv, outsideLambda, outsideVolVars.extrusionFactor()); |
| 193 | else | ||
| 194 | 3328304 | tj = computeTpfaTransmissibility(fvGeometry, fvGeometry.flipScvf(scvf.index()), outsideScv, outsideLambda, outsideVolVars.extrusionFactor()); | |
| 195 | |||
| 196 | // check for division by zero! | ||
| 197 |
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72128462 | if (ti*tj <= 0.0) |
| 198 | tij = 0; | ||
| 199 | else | ||
| 200 | 144256924 | tij = Extrusion::area(fvGeometry, scvf)*(ti * tj)/(ti + tj); | |
| 201 | } | ||
| 202 | |||
| 203 | 74327582 | return tij; | |
| 204 | } | ||
| 205 | |||
| 206 | private: | ||
| 207 | |||
| 208 | //! compute the temperature at branching facets for network grids | ||
| 209 | ✗ | static Scalar branchingFacetTemperature_(const Problem& problem, | |
| 210 | const Element& element, | ||
| 211 | const FVElementGeometry& fvGeometry, | ||
| 212 | const ElementVolumeVariables& elemVolVars, | ||
| 213 | const ElementFluxVarsCache& elemFluxVarsCache, | ||
| 214 | const SubControlVolumeFace& scvf, | ||
| 215 | Scalar insideTemperature, | ||
| 216 | Scalar insideTi) | ||
| 217 | { | ||
| 218 | ✗ | Scalar sumTi(insideTi); | |
| 219 | ✗ | Scalar sumTempTi(insideTi*insideTemperature); | |
| 220 | |||
| 221 | ✗ | for (unsigned int i = 0; i < scvf.numOutsideScvs(); ++i) | |
| 222 | { | ||
| 223 | ✗ | const auto outsideScvIdx = scvf.outsideScvIdx(i); | |
| 224 | ✗ | const auto& outsideVolVars = elemVolVars[outsideScvIdx]; | |
| 225 | ✗ | const auto& flippedScvf = fvGeometry.flipScvf(scvf.index(), i); | |
| 226 | ✗ | const auto& outsideFluxVarsCache = elemFluxVarsCache[flippedScvf]; | |
| 227 | |||
| 228 | ✗ | auto outsideTi = outsideFluxVarsCache.heatConductionTij(); | |
| 229 | ✗ | sumTi += outsideTi; | |
| 230 | ✗ | sumTempTi += outsideTi*outsideVolVars.temperature(); | |
| 231 | } | ||
| 232 | ✗ | return sumTempTi/sumTi; | |
| 233 | } | ||
| 234 | |||
| 235 | static constexpr bool isMixedDimensional_ = static_cast<int>(GridView::dimension) < static_cast<int>(GridView::dimensionworld); | ||
| 236 | }; | ||
| 237 | |||
| 238 | } // end namespace Dumux | ||
| 239 | |||
| 240 | #endif | ||
| 241 |