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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 StaggeredFlux | ||
| 10 | * \brief Specialization of Fourier's Law for the staggered free flow method. | ||
| 11 | */ | ||
| 12 | #ifndef DUMUX_DISCRETIZATION_STAGGERED_FOURIERS_LAW_HH | ||
| 13 | #define DUMUX_DISCRETIZATION_STAGGERED_FOURIERS_LAW_HH | ||
| 14 | |||
| 15 | #include <dumux/common/properties.hh> | ||
| 16 | #include <dumux/common/math.hh> | ||
| 17 | |||
| 18 | #include <dumux/discretization/method.hh> | ||
| 19 | #include <dumux/discretization/extrusion.hh> | ||
| 20 | #include <dumux/flux/fluxvariablescaching.hh> | ||
| 21 | |||
| 22 | namespace Dumux { | ||
| 23 | |||
| 24 | // forward declaration | ||
| 25 | template<class TypeTag, class DiscretizationMethod> | ||
| 26 | class FouriersLawImplementation; | ||
| 27 | |||
| 28 | /*! | ||
| 29 | * \ingroup StaggeredFlux | ||
| 30 | * \brief Specialization of Fourier's Law for the staggered free flow method. | ||
| 31 | */ | ||
| 32 | template <class TypeTag> | ||
| 33 | class FouriersLawImplementation<TypeTag, DiscretizationMethods::Staggered> | ||
| 34 | { | ||
| 35 | using Scalar = GetPropType<TypeTag, Properties::Scalar>; | ||
| 36 | using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>; | ||
| 37 | using FVElementGeometry = typename GridGeometry::LocalView; | ||
| 38 | using SubControlVolumeFace = typename GridGeometry::SubControlVolumeFace; | ||
| 39 | using Extrusion = Extrusion_t<GridGeometry>; | ||
| 40 | using ElementVolumeVariables = typename GetPropType<TypeTag, Properties::GridVolumeVariables>::LocalView; | ||
| 41 | using Element = typename GridGeometry::GridView::template Codim<0>::Entity; | ||
| 42 | using Indices = typename GetPropType<TypeTag, Properties::ModelTraits>::Indices; | ||
| 43 | |||
| 44 | public: | ||
| 45 | using DiscretizationMethod = DiscretizationMethods::Staggered; | ||
| 46 | // state the discretization method this implementation belongs to | ||
| 47 | static constexpr DiscretizationMethod discMethod{}; | ||
| 48 | |||
| 49 | //! state the type for the corresponding cache | ||
| 50 | //! We don't cache anything for this law | ||
| 51 | using Cache = FluxVariablesCaching::EmptyDiffusionCache; | ||
| 52 | |||
| 53 | /*! | ||
| 54 | * \brief Returns the heat flux within the porous medium | ||
| 55 | * (in J/s) across the given sub-control volume face. | ||
| 56 | * \note This law assumes thermal equilibrium between the fluid | ||
| 57 | * and solid phases, and uses an effective thermal conductivity | ||
| 58 | * for the overall aggregate. | ||
| 59 | */ | ||
| 60 | template<class Problem> | ||
| 61 | 61148748 | static Scalar flux(const Problem& problem, | |
| 62 | const Element& element, | ||
| 63 | const FVElementGeometry& fvGeometry, | ||
| 64 | const ElementVolumeVariables& elemVolVars, | ||
| 65 | const SubControlVolumeFace &scvf) | ||
| 66 | { | ||
| 67 | 61148748 | Scalar flux(0.0); | |
| 68 | |||
| 69 | // conductive energy flux is zero for outflow boundary conditions | ||
| 70 |
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61148748 | if (scvf.boundary() && problem.boundaryTypes(element, scvf).isOutflow(Indices::energyEqIdx)) |
| 71 | 1516188 | return flux; | |
| 72 | |||
| 73 | 119265120 | const auto& insideScv = fvGeometry.scv(scvf.insideScvIdx()); | |
| 74 | 119265120 | const auto& insideVolVars = elemVolVars[scvf.insideScvIdx()]; | |
| 75 | 119265120 | const auto& outsideVolVars = elemVolVars[scvf.outsideScvIdx()]; | |
| 76 | |||
| 77 | 59632560 | const Scalar insideTemperature = insideVolVars.temperature(); | |
| 78 | 59632560 | const Scalar outsideTemperature = outsideVolVars.temperature(); | |
| 79 | |||
| 80 | 59632560 | const Scalar insideLambda = insideVolVars.effectiveThermalConductivity() * insideVolVars.extrusionFactor(); | |
| 81 | 238530240 | const Scalar insideDistance = (insideScv.dofPosition() - scvf.ipGlobal()).two_norm(); | |
| 82 | |||
| 83 |
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59632560 | if (scvf.boundary()) |
| 84 | { | ||
| 85 | 2398252 | flux = insideLambda * (insideTemperature - outsideTemperature) / insideDistance; | |
| 86 | } | ||
| 87 | else | ||
| 88 | { | ||
| 89 | 114468616 | const auto& outsideScv = fvGeometry.scv(scvf.outsideScvIdx()); | |
| 90 | 57234308 | const Scalar outsideLambda = outsideVolVars.effectiveThermalConductivity() * outsideVolVars.extrusionFactor(); | |
| 91 | 228937232 | const Scalar outsideDistance = (outsideScv.dofPosition() - scvf.ipGlobal()).two_norm(); | |
| 92 |
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57234308 | const Scalar avgLambda = harmonicMean(insideLambda, outsideLambda, insideDistance, outsideDistance); |
| 93 | |||
| 94 | 57234308 | flux = avgLambda * (insideTemperature - outsideTemperature) / (insideDistance + outsideDistance); | |
| 95 | } | ||
| 96 | |||
| 97 | 59632560 | flux *= Extrusion::area(fvGeometry, scvf); | |
| 98 | 59632560 | return flux; | |
| 99 | } | ||
| 100 | }; | ||
| 101 | |||
| 102 | } // end namespace Dumux | ||
| 103 | |||
| 104 | #endif | ||
| 105 |