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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_HH | ||
| 14 | #define DUMUX_DISCRETIZATION_BOX_FOURIERS_LAW_HH | ||
| 15 | |||
| 16 | #include <dumux/common/math.hh> | ||
| 17 | #include <dumux/common/properties.hh> | ||
| 18 | #include <dumux/discretization/method.hh> | ||
| 19 | #include <dumux/discretization/extrusion.hh> | ||
| 20 | #include <dumux/flux/facetensoraverage.hh> | ||
| 21 | |||
| 22 | namespace Dumux { | ||
| 23 | |||
| 24 | // forward declaration | ||
| 25 | template<class TypeTag, class DiscretizationMethod> | ||
| 26 | class FouriersLawImplementation; | ||
| 27 | |||
| 28 | /*! | ||
| 29 | * \ingroup BoxFlux | ||
| 30 | * \brief Specialization of Fourier's Law for the box method. | ||
| 31 | */ | ||
| 32 | template <class TypeTag> | ||
| 33 | class FouriersLawImplementation<TypeTag, DiscretizationMethods::Box> | ||
| 34 | { | ||
| 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 ElementVolumeVariables = typename GetPropType<TypeTag, Properties::GridVolumeVariables>::LocalView; | ||
| 42 | using ElementFluxVariablesCache = typename GetPropType<TypeTag, Properties::GridFluxVariablesCache>::LocalView; | ||
| 43 | using GridView = typename GetPropType<TypeTag, Properties::GridGeometry>::GridView; | ||
| 44 | using Element = typename GridView::template Codim<0>::Entity; | ||
| 45 | |||
| 46 | public: | ||
| 47 | /*! | ||
| 48 | * \brief Returns the heat flux within the porous medium | ||
| 49 | * (in J/s) across the given sub-control volume face. | ||
| 50 | * \note This law assumes thermal equilibrium between the fluid | ||
| 51 | * and solid phases, and uses an effective thermal conductivity | ||
| 52 | * for the overall aggregate. | ||
| 53 | */ | ||
| 54 | 134248256 | static Scalar flux(const Problem& problem, | |
| 55 | const Element& element, | ||
| 56 | const FVElementGeometry& fvGeometry, | ||
| 57 | const ElementVolumeVariables& elemVolVars, | ||
| 58 | const SubControlVolumeFace& scvf, | ||
| 59 | const ElementFluxVariablesCache& elemFluxVarsCache) | ||
| 60 | { | ||
| 61 | // get inside and outside diffusion tensors and calculate the harmonic mean | ||
| 62 |
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268496512 | const auto& insideScv = fvGeometry.scv(scvf.insideScvIdx()); |
| 63 |
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134248256 | const auto& outsideScv = fvGeometry.scv(scvf.outsideScvIdx()); |
| 64 |
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134248256 | const auto& insideVolVars = elemVolVars[insideScv]; |
| 65 |
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134248256 | const auto& outsideVolVars = elemVolVars[outsideScv]; |
| 66 | |||
| 67 | // effective diffusion tensors | ||
| 68 |
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134248256 | auto insideLambda = insideVolVars.effectiveThermalConductivity(); |
| 69 |
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134248256 | auto outsideLambda = outsideVolVars.effectiveThermalConductivity(); |
| 70 | |||
| 71 | // scale by extrusion factor | ||
| 72 | 134248256 | insideLambda *= insideVolVars.extrusionFactor(); | |
| 73 | 134248256 | outsideLambda *= outsideVolVars.extrusionFactor(); | |
| 74 | |||
| 75 | // the resulting averaged diffusion tensor | ||
| 76 |
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268496512 | const auto lambda = faceTensorAverage(insideLambda, outsideLambda, scvf.unitOuterNormal()); |
| 77 | |||
| 78 | // evaluate gradTemp at integration point | ||
| 79 | 134248256 | const auto& fluxVarsCache = elemFluxVarsCache[scvf]; | |
| 80 | |||
| 81 | // compute the temperature gradient with the shape functions | ||
| 82 | 134248256 | Dune::FieldVector<Scalar, GridView::dimensionworld> gradTemp(0.0); | |
| 83 |
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1340886976 | for (auto&& scv : scvs(fvGeometry)) |
| 84 | 2680976160 | gradTemp.axpy(elemVolVars[scv].temperature(), fluxVarsCache.gradN(scv.indexInElement())); | |
| 85 | |||
| 86 | // compute the heat conduction flux | ||
| 87 | 268673312 | return -1.0*vtmv(scvf.unitOuterNormal(), lambda, gradTemp)*Extrusion::area(fvGeometry, scvf); | |
| 88 | } | ||
| 89 | }; | ||
| 90 | |||
| 91 | } // end namespace Dumux | ||
| 92 | |||
| 93 | #endif | ||
| 94 |