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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_NONEQUILIBRIUM_HH | ||
| 13 | #define DUMUX_DISCRETIZATION_CC_TPFA_FOURIERS_LAW_NONEQUILIBRIUM_HH | ||
| 14 | |||
| 15 | #include <dumux/common/properties.hh> | ||
| 16 | #include <dumux/discretization/method.hh> | ||
| 17 | #include <dumux/discretization/extrusion.hh> | ||
| 18 | #include <dumux/discretization/cellcentered/tpfa/computetransmissibility.hh> | ||
| 19 | #include <dumux/flux/fluxvariablescaching.hh> | ||
| 20 | |||
| 21 | namespace Dumux { | ||
| 22 | |||
| 23 | // forward declaration | ||
| 24 | template<class TypeTag, class DiscretizationMethod> | ||
| 25 | class FouriersLawNonEquilibriumImplementation; | ||
| 26 | |||
| 27 | /*! | ||
| 28 | * \ingroup CCTpfaFlux | ||
| 29 | * \brief Fourier's law for cell-centered finite volume schemes with two-point flux approximation | ||
| 30 | */ | ||
| 31 | template <class TypeTag> | ||
| 32 | class FouriersLawNonEquilibriumImplementation<TypeTag, DiscretizationMethods::CCTpfa> | ||
| 33 | { | ||
| 34 | using Implementation = FouriersLawNonEquilibriumImplementation<TypeTag, DiscretizationMethods::CCTpfa>; | ||
| 35 | using Scalar = GetPropType<TypeTag, Properties::Scalar>; | ||
| 36 | using Problem = GetPropType<TypeTag, Properties::Problem>; | ||
| 37 | using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>; | ||
| 38 | using FVElementGeometry = typename GridGeometry::LocalView; | ||
| 39 | using SubControlVolumeFace = typename GridGeometry::SubControlVolumeFace; | ||
| 40 | using Extrusion = Extrusion_t<GridGeometry>; | ||
| 41 | using GridView = typename GridGeometry::GridView; | ||
| 42 | using ElementVolumeVariables = typename GetPropType<TypeTag, Properties::GridVolumeVariables>::LocalView; | ||
| 43 | using Element = typename GridView::template Codim<0>::Entity; | ||
| 44 | using ElementFluxVarsCache = typename GetPropType<TypeTag, Properties::GridFluxVariablesCache>::LocalView; | ||
| 45 | |||
| 46 | static constexpr int dim = GridView::dimension; | ||
| 47 | static constexpr int dimWorld = GridView::dimensionworld; | ||
| 48 | |||
| 49 | using ModelTraits = GetPropType<TypeTag, Properties::ModelTraits>; | ||
| 50 | |||
| 51 | static constexpr auto numEnergyEqSolid = getPropValue<TypeTag, Properties::NumEnergyEqSolid>(); | ||
| 52 | static constexpr auto numEnergyEqFluid = getPropValue<TypeTag, Properties::NumEnergyEqFluid>(); | ||
| 53 | static constexpr auto numEnergyEq = numEnergyEqSolid + numEnergyEqFluid; | ||
| 54 | static constexpr auto sPhaseIdx = ModelTraits::numFluidPhases(); | ||
| 55 | |||
| 56 | public: | ||
| 57 | using DiscretizationMethod = DiscretizationMethods::CCTpfa; | ||
| 58 | //! state the discretization method this implementation belongs to | ||
| 59 | static constexpr DiscretizationMethod discMethod{}; | ||
| 60 | |||
| 61 | using Cache = FluxVariablesCaching::EmptyHeatConductionCache; | ||
| 62 | |||
| 63 | /*! | ||
| 64 | * \brief Returns the heat flux within a fluid or solid | ||
| 65 | * phase (in J/s) across the given sub-control volume face. | ||
| 66 | */ | ||
| 67 | 1323020 | static Scalar flux(const Problem& problem, | |
| 68 | const Element& element, | ||
| 69 | const FVElementGeometry& fvGeometry, | ||
| 70 | const ElementVolumeVariables& elemVolVars, | ||
| 71 | const SubControlVolumeFace& scvf, | ||
| 72 | const int phaseIdx, | ||
| 73 | const ElementFluxVarsCache& elemFluxVarsCache) | ||
| 74 | { | ||
| 75 | 1323020 | Scalar tInside = 0.0; | |
| 76 | 1323020 | Scalar tOutside = 0.0; | |
| 77 | // get the inside/outside temperatures | ||
| 78 |
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1323020 | if (phaseIdx < numEnergyEqFluid) |
| 79 | { | ||
| 80 | 1323020 | tInside += elemVolVars[scvf.insideScvIdx()].temperatureFluid(phaseIdx); | |
| 81 | 1323020 | tOutside += elemVolVars[scvf.outsideScvIdx()].temperatureFluid(phaseIdx); | |
| 82 | } | ||
| 83 | else //temp solid | ||
| 84 | { | ||
| 85 | 1323020 | tInside += elemVolVars[scvf.insideScvIdx()].temperatureSolid(); | |
| 86 | 1323020 | tOutside += elemVolVars[scvf.outsideScvIdx()].temperatureSolid(); | |
| 87 | } | ||
| 88 | |||
| 89 | 1323020 | Scalar tij = calculateTransmissibility(problem, element, fvGeometry, elemVolVars, scvf, phaseIdx); | |
| 90 | 1323020 | return tij*(tInside - tOutside); | |
| 91 | } | ||
| 92 | |||
| 93 | //! Compute transmissibilities | ||
| 94 | 1323020 | static Scalar calculateTransmissibility(const Problem& problem, | |
| 95 | const Element& element, | ||
| 96 | const FVElementGeometry& fvGeometry, | ||
| 97 | const ElementVolumeVariables& elemVolVars, | ||
| 98 | const SubControlVolumeFace& scvf, | ||
| 99 | const int phaseIdx) | ||
| 100 | { | ||
| 101 |
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1323020 | const auto insideScvIdx = scvf.insideScvIdx(); |
| 102 |
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1323020 | const auto& insideScv = fvGeometry.scv(insideScvIdx); |
| 103 | 1323020 | const auto& insideVolVars = elemVolVars[insideScvIdx]; | |
| 104 | 1323020 | const auto computeLambda = [&](const auto& v){ | |
| 105 | if constexpr (numEnergyEq == 1) | ||
| 106 | return v.effectiveThermalConductivity(); | ||
| 107 | else if constexpr (numEnergyEqFluid == 1) | ||
| 108 | return (phaseIdx != sPhaseIdx) | ||
| 109 |
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5288760 | ? v.effectiveFluidThermalConductivity() |
| 110 | ✗ | : v.effectiveSolidThermalConductivity(); | |
| 111 | else | ||
| 112 | return v.effectivePhaseThermalConductivity(phaseIdx); | ||
| 113 | }; | ||
| 114 | |||
| 115 |
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1323020 | const auto insideLambda = computeLambda(insideVolVars); |
| 116 | 1323020 | const Scalar ti = computeTpfaTransmissibility(fvGeometry, scvf, insideScv, insideLambda, insideVolVars.extrusionFactor()); | |
| 117 | |||
| 118 | // for the boundary (dirichlet) or at branching points we only need ti | ||
| 119 |
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1323020 | if (scvf.boundary() || scvf.numOutsideScvs() > 1) |
| 120 | 3320 | return Extrusion::area(fvGeometry, scvf)*ti; | |
| 121 | else // otherwise we compute a tpfa harmonic mean | ||
| 122 | { | ||
| 123 |
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1321360 | const auto outsideScvIdx = scvf.outsideScvIdx(); |
| 124 |
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1321360 | const auto& outsideScv = fvGeometry.scv(outsideScvIdx); |
| 125 | 1321360 | const auto& outsideVolVars = elemVolVars[outsideScvIdx]; | |
| 126 |
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1321360 | const auto outsideLambda = computeLambda(outsideVolVars); |
| 127 | |||
| 128 | Scalar tj; | ||
| 129 | if (dim == dimWorld) | ||
| 130 | // assume the normal vector from outside is anti parallel so we save flipping a vector | ||
| 131 | 1321360 | tj = -1.0*computeTpfaTransmissibility(fvGeometry, scvf, outsideScv, outsideLambda, outsideVolVars.extrusionFactor()); | |
| 132 | else | ||
| 133 | tj = computeTpfaTransmissibility(fvGeometry, fvGeometry.flipScvf(scvf.index()), outsideScv, outsideLambda, outsideVolVars.extrusionFactor()); | ||
| 134 | |||
| 135 | // check for division by zero! | ||
| 136 |
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1321360 | if (ti*tj <= 0.0) |
| 137 | return 0.0; | ||
| 138 | else | ||
| 139 | 2642720 | return Extrusion::area(fvGeometry, scvf)*(ti * tj)/(ti + tj); | |
| 140 | } | ||
| 141 | } | ||
| 142 | }; | ||
| 143 | |||
| 144 | } // end namespace Dumux | ||
| 145 | |||
| 146 | #endif | ||
| 147 |