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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 BoxFlux | ||
| 10 | * \brief This file contains the data which is required to calculate | ||
| 11 | * energy fluxes due to molecular diffusion with Fourier's law. | ||
| 12 | */ | ||
| 13 | #ifndef DUMUX_DISCRETIZATION_BOX_FOURIERS_LAW_NONEQUILIBRIUM_HH | ||
| 14 | #define DUMUX_DISCRETIZATION_BOX_FOURIERS_LAW_NONEQUILIBRIUM_HH | ||
| 15 | |||
| 16 | #include <dune/common/fvector.hh> | ||
| 17 | |||
| 18 | #include <dumux/common/math.hh> | ||
| 19 | #include <dumux/common/properties.hh> | ||
| 20 | |||
| 21 | #include <dumux/discretization/method.hh> | ||
| 22 | #include <dumux/discretization/extrusion.hh> | ||
| 23 | |||
| 24 | #include <dumux/flux/facetensoraverage.hh> | ||
| 25 | |||
| 26 | namespace Dumux { | ||
| 27 | |||
| 28 | // forward declaration | ||
| 29 | template <class TypeTag, class DiscretizationMethod> | ||
| 30 | class FouriersLawNonEquilibriumImplementation; | ||
| 31 | |||
| 32 | /*! | ||
| 33 | * \ingroup BoxFlux | ||
| 34 | * \brief Specialization of Fourier's Law for the box method for thermal nonequilibrium models. | ||
| 35 | */ | ||
| 36 | template <class TypeTag> | ||
| 37 | class FouriersLawNonEquilibriumImplementation<TypeTag, DiscretizationMethods::Box> | ||
| 38 | { | ||
| 39 | using Scalar = GetPropType<TypeTag, Properties::Scalar>; | ||
| 40 | using Problem = GetPropType<TypeTag, Properties::Problem>; | ||
| 41 | using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>; | ||
| 42 | using FVElementGeometry = typename GridGeometry::LocalView; | ||
| 43 | using SubControlVolumeFace = typename GridGeometry::SubControlVolumeFace; | ||
| 44 | using Extrusion = Extrusion_t<GridGeometry>; | ||
| 45 | using ElementVolumeVariables = typename GetPropType<TypeTag, Properties::GridVolumeVariables>::LocalView; | ||
| 46 | using ElementFluxVariablesCache = typename GetPropType<TypeTag, Properties::GridFluxVariablesCache>::LocalView; | ||
| 47 | using GridView = typename GetPropType<TypeTag, Properties::GridGeometry>::GridView; | ||
| 48 | using ThermalConductivityModel = GetPropType<TypeTag, Properties::ThermalConductivityModel>; | ||
| 49 | using ModelTraits = GetPropType<TypeTag, Properties::ModelTraits>; | ||
| 50 | using Element = typename GridView::template Codim<0>::Entity; | ||
| 51 | |||
| 52 | static constexpr auto numEnergyEqSolid = getPropValue<TypeTag, Properties::NumEnergyEqSolid>(); | ||
| 53 | static constexpr auto numEnergyEqFluid = getPropValue<TypeTag, Properties::NumEnergyEqFluid>(); | ||
| 54 | static constexpr auto numEnergyEq = numEnergyEqSolid + numEnergyEqFluid; | ||
| 55 | static constexpr auto sPhaseIdx = ModelTraits::numFluidPhases(); | ||
| 56 | |||
| 57 | public: | ||
| 58 | /*! | ||
| 59 | * \brief Returns the heat flux within a fluid or solid | ||
| 60 | * phase (in J/s) across the given sub-control volume face. | ||
| 61 | */ | ||
| 62 | 11764640 | static Scalar flux(const Problem& problem, | |
| 63 | const Element& element, | ||
| 64 | const FVElementGeometry& fvGeometry, | ||
| 65 | const ElementVolumeVariables& elemVolVars, | ||
| 66 | const SubControlVolumeFace& scvf, | ||
| 67 | const int phaseIdx, | ||
| 68 | const ElementFluxVariablesCache& elemFluxVarsCache) | ||
| 69 | { | ||
| 70 | // get inside and outside diffusion tensors and calculate the harmonic mean | ||
| 71 |
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23529280 | const auto& insideScv = fvGeometry.scv(scvf.insideScvIdx()); |
| 72 |
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11764640 | const auto& outsideScv = fvGeometry.scv(scvf.outsideScvIdx()); |
| 73 |
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11764640 | const auto& insideVolVars = elemVolVars[insideScv]; |
| 74 |
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11764640 | const auto& outsideVolVars = elemVolVars[outsideScv]; |
| 75 | 11764640 | const auto computeLambda = [&](const auto& v){ | |
| 76 | if constexpr (numEnergyEq == 1) | ||
| 77 | return v.effectiveThermalConductivity(); | ||
| 78 | else if constexpr (numEnergyEqFluid == 1) | ||
| 79 | return (phaseIdx != sPhaseIdx) | ||
| 80 |
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18713600 | ? v.effectiveFluidThermalConductivity() |
| 81 | ✗ | : v.effectiveSolidThermalConductivity(); | |
| 82 | else | ||
| 83 | 28344960 | return v.effectivePhaseThermalConductivity(phaseIdx); | |
| 84 | }; | ||
| 85 | |||
| 86 |
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11764640 | auto insideLambda = computeLambda(insideVolVars); |
| 87 |
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11764640 | auto outsideLambda = computeLambda(outsideVolVars); |
| 88 | |||
| 89 | // scale by extrusion factor | ||
| 90 | 11764640 | insideLambda *= insideVolVars.extrusionFactor(); | |
| 91 | 11764640 | outsideLambda *= outsideVolVars.extrusionFactor(); | |
| 92 | |||
| 93 | // the resulting averaged diffusion tensor | ||
| 94 |
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23529280 | const auto lambda = faceTensorAverage(insideLambda, outsideLambda, scvf.unitOuterNormal()); |
| 95 | |||
| 96 | // evaluate gradTemp at integration point | ||
| 97 | 11764640 | const auto& fluxVarsCache = elemFluxVarsCache[scvf]; | |
| 98 | |||
| 99 | 11764640 | Dune::FieldVector<Scalar, GridView::dimensionworld> gradTemp(0.0); | |
| 100 |
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70587840 | for (auto&& scv : scvs(fvGeometry)) |
| 101 | { | ||
| 102 | // compute the temperature gradient with the shape functions | ||
| 103 |
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47058560 | if (phaseIdx < numEnergyEqFluid) |
| 104 | 113013760 | gradTemp.axpy(elemVolVars[scv].temperatureFluid(phaseIdx), fluxVarsCache.gradN(scv.indexInElement())); | |
| 105 | else | ||
| 106 | 75220480 | gradTemp.axpy(elemVolVars[scv].temperatureSolid(), fluxVarsCache.gradN(scv.indexInElement())); | |
| 107 | } | ||
| 108 | |||
| 109 | // compute the heat conduction flux | ||
| 110 | 23529280 | return -1.0*vtmv(scvf.unitOuterNormal(), lambda, gradTemp)*Extrusion::area(fvGeometry, scvf); | |
| 111 | } | ||
| 112 | }; | ||
| 113 | |||
| 114 | } // end namespace Dumux | ||
| 115 | |||
| 116 | #endif | ||
| 117 |