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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 Fluidmatrixinteractions | ||
| 10 | * \copydoc Dumux::ScheideggersDispersionTensor | ||
| 11 | */ | ||
| 12 | #ifndef DUMUX_MATERIAL_FLUIDMATRIX_DISPERSIONTENSORS_SCHEIDEGGER_HH | ||
| 13 | #define DUMUX_MATERIAL_FLUIDMATRIX_DISPERSIONTENSORS_SCHEIDEGGER_HH | ||
| 14 | |||
| 15 | #include <algorithm> | ||
| 16 | #include <cmath> | ||
| 17 | #include <dune/common/math.hh> | ||
| 18 | #include <dune/common/std/type_traits.hh> | ||
| 19 | #include <dune/common/fmatrix.hh> | ||
| 20 | #include <dumux/common/properties.hh> | ||
| 21 | #include <dumux/common/parameters.hh> | ||
| 22 | #include <dumux/discretization/method.hh> | ||
| 23 | #include <dumux/flux/facetensoraverage.hh> | ||
| 24 | #include <dumux/flux/traits.hh> | ||
| 25 | |||
| 26 | namespace Dumux { | ||
| 27 | |||
| 28 | namespace Detail { | ||
| 29 | template <class Problem, class SubControlVolumeFace> | ||
| 30 | using HasVelocityInSpatialParams = decltype(std::declval<Problem>().spatialParams().velocity(std::declval<SubControlVolumeFace>())); | ||
| 31 | |||
| 32 | template<class Problem, class SubControlVolumeFace> | ||
| 33 | static constexpr bool hasVelocityInSpatialParams() | ||
| 34 | { return Dune::Std::is_detected<HasVelocityInSpatialParams, Problem, SubControlVolumeFace>::value; } | ||
| 35 | } | ||
| 36 | |||
| 37 | /*! | ||
| 38 | * \ingroup Fluidmatrixinteractions | ||
| 39 | * \brief Scheidegger's dispersion tensor | ||
| 40 | */ | ||
| 41 | template<class TypeTag> | ||
| 42 | class ScheideggersDispersionTensor | ||
| 43 | { | ||
| 44 | using Problem = GetPropType<TypeTag, Properties::Problem>; | ||
| 45 | using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>; | ||
| 46 | using FVElementGeometry = typename GridGeometry::LocalView; | ||
| 47 | using SubControlVolumeFace = typename GridGeometry::SubControlVolumeFace; | ||
| 48 | using ElementVolumeVariables = typename GetPropType<TypeTag, Properties::GridVolumeVariables>::LocalView; | ||
| 49 | |||
| 50 | using Scalar = GetPropType<TypeTag, Properties::Scalar>; | ||
| 51 | using GridView = typename GetPropType<TypeTag, Properties::GridGeometry>::GridView; | ||
| 52 | static const int dimWorld = GridView::dimensionworld; | ||
| 53 | using DimWorldMatrix = Dune::FieldMatrix<Scalar, dimWorld, dimWorld>; | ||
| 54 | |||
| 55 | using FluxVariables = GetPropType<TypeTag, Properties::FluxVariables>; | ||
| 56 | using FluxTraits = typename Dumux::FluxTraits<FluxVariables>; | ||
| 57 | static constexpr bool stationaryVelocityField = FluxTraits::hasStationaryVelocityField(); | ||
| 58 | |||
| 59 | public: | ||
| 60 | template <class ElementFluxVariablesCache> | ||
| 61 | 9522800 | static DimWorldMatrix compositionalDispersionTensor(const Problem& problem, | |
| 62 | const SubControlVolumeFace& scvf, | ||
| 63 | const FVElementGeometry& fvGeometry, | ||
| 64 | const ElementVolumeVariables& elemVolVars, | ||
| 65 | const ElementFluxVariablesCache& elemFluxVarsCache, | ||
| 66 | const int phaseIdx, | ||
| 67 | const int compIdx) | ||
| 68 | { | ||
| 69 | 9522800 | DimWorldMatrix dispersionTensor(0.0); | |
| 70 | |||
| 71 | // Get the velocity either from the reconstruction, or from the spatialparams | ||
| 72 | 13522400 | auto velocity = dispersionVelocity_(problem, scvf, fvGeometry, elemVolVars, elemFluxVarsCache); | |
| 73 | |||
| 74 | // collect the dispersion alphas at this location | ||
| 75 | 15046000 | std::array<Scalar,2> dispersivity = problem.spatialParams().dispersionAlphas(scvf.center(), phaseIdx, compIdx); | |
| 76 | |||
| 77 | 9522800 | return scheideggerTensor_(dispersivity, velocity); | |
| 78 | } | ||
| 79 | |||
| 80 | template <class ElementFluxVariablesCache> | ||
| 81 | 1881600 | static DimWorldMatrix thermalDispersionTensor(const Problem& problem, | |
| 82 | const SubControlVolumeFace& scvf, | ||
| 83 | const FVElementGeometry& fvGeometry, | ||
| 84 | const ElementVolumeVariables& elemVolVars, | ||
| 85 | const ElementFluxVariablesCache& elemFluxVarsCache, | ||
| 86 | const int phaseIdx) | ||
| 87 | { | ||
| 88 | 1881600 | DimWorldMatrix dispersionTensor(0.0); | |
| 89 | |||
| 90 | // Get the velocity either from the reconstruction, or from the spatialparams | ||
| 91 | 1881600 | auto velocity = dispersionVelocity_(problem, scvf, fvGeometry, elemVolVars, elemFluxVarsCache); | |
| 92 | |||
| 93 | // collect the dispersion alphas at this location | ||
| 94 | 3763200 | std::array<Scalar,2> dispersivity = problem.spatialParams().dispersionAlphas(scvf.center(), phaseIdx); //TODO: fix this? | |
| 95 | |||
| 96 | 1881600 | return scheideggerTensor_(dispersivity, velocity); | |
| 97 | } | ||
| 98 | |||
| 99 | private: | ||
| 100 | |||
| 101 | template <class ElementFluxVariablesCache> | ||
| 102 | 7404800 | static Dune::FieldVector<Scalar, dimWorld> dispersionVelocity_(const Problem& problem, | |
| 103 | const SubControlVolumeFace& scvf, | ||
| 104 | [[maybe_unused]] const FVElementGeometry& fvGeometry, | ||
| 105 | [[maybe_unused]] const ElementVolumeVariables& elemVolVars, | ||
| 106 | [[maybe_unused]] const ElementFluxVariablesCache& elemFluxVarsCache) | ||
| 107 | { | ||
| 108 | // Calculate Darcy's velocity | ||
| 109 | 11404400 | Dune::FieldVector<Scalar, dimWorld> velocity(0.0); | |
| 110 | if constexpr (stationaryVelocityField) | ||
| 111 | { | ||
| 112 | if constexpr (!Detail::hasVelocityInSpatialParams<Problem,SubControlVolumeFace>() ) | ||
| 113 | DUNE_THROW(Dune::NotImplemented, "\n Please provide the stationary velocity field in the spatialparams via a velocity function."); | ||
| 114 | else | ||
| 115 | 7999200 | velocity = problem.spatialParams().velocity(scvf); | |
| 116 | } | ||
| 117 | else | ||
| 118 | { | ||
| 119 | if constexpr (FVElementGeometry::GridGeometry::discMethod == DiscretizationMethods::box) | ||
| 120 | { | ||
| 121 |
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7404800 | const auto& fluxVarsCache = elemFluxVarsCache[scvf]; |
| 122 |
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7404800 | const auto& shapeValues = fluxVarsCache.shapeValues(); |
| 123 | |||
| 124 | // get inside and outside permeability tensors and calculate the harmonic mean | ||
| 125 |
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14809600 | const auto& insideVolVars = elemVolVars[scvf.insideScvIdx()]; |
| 126 |
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7404800 | const auto& outsideVolVars = elemVolVars[scvf.outsideScvIdx()]; |
| 127 |
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14809600 | const auto K = faceTensorAverage(insideVolVars.permeability(), |
| 128 | outsideVolVars.permeability(), | ||
| 129 | scvf.unitOuterNormal()); | ||
| 130 | |||
| 131 | // evaluate gradP - rho*g at integration point | ||
| 132 | 7404800 | Dune::FieldVector<Scalar, dimWorld> gradP(0.0); | |
| 133 | 7404800 | Scalar rho(0.0); | |
| 134 |
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7404800 | static const bool enableGravity = getParamFromGroup<bool>(problem.paramGroup(), "Problem.EnableGravity"); |
| 135 |
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74048000 | for (auto&& scv : scvs(fvGeometry)) |
| 136 | { | ||
| 137 |
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29619200 | const auto& volVars = elemVolVars[scv]; |
| 138 | |||
| 139 |
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29619200 | if (enableGravity) |
| 140 | 88857600 | rho += volVars.density(0)*shapeValues[scv.indexInElement()][0]; | |
| 141 | // the global shape function gradient | ||
| 142 | 118476800 | gradP.axpy(volVars.pressure(0), fluxVarsCache.gradN(scv.indexInElement())); | |
| 143 | } | ||
| 144 | |||
| 145 |
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7404800 | if (enableGravity) |
| 146 | 29619200 | gradP.axpy(-rho, problem.spatialParams().gravity(scvf.center())); | |
| 147 | |||
| 148 | 7404800 | velocity = gradP; | |
| 149 | 7404800 | velocity *= K; | |
| 150 | |||
| 151 | 22214400 | velocity /= -0.5 * (insideVolVars.viscosity() + outsideVolVars.viscosity()); | |
| 152 | } | ||
| 153 | else | ||
| 154 | DUNE_THROW(Dune::NotImplemented, "\n Scheidegger Dispersion for compositional models without given constant velocity field is only implemented using the Box method."); | ||
| 155 | } | ||
| 156 | |||
| 157 | 11404400 | return velocity; | |
| 158 | } | ||
| 159 | |||
| 160 | 11404400 | static DimWorldMatrix scheideggerTensor_(const std::array<Scalar,2>& dispersivity, | |
| 161 | const Dune::FieldVector<Scalar, dimWorld>& velocity) | ||
| 162 | { | ||
| 163 | 11404400 | DimWorldMatrix scheideggerTensor(0.0); | |
| 164 | |||
| 165 | //matrix multiplication of the velocity at the interface: vv^T | ||
| 166 |
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34213200 | for (int i=0; i < dimWorld; i++) |
| 167 |
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68426400 | for (int j = 0; j < dimWorld; j++) |
| 168 | 228088000 | scheideggerTensor[i][j] = velocity[i]*velocity[j]; | |
| 169 | |||
| 170 | //normalize velocity product --> vv^T/||v||, [m/s] | ||
| 171 | 11404400 | Scalar vNorm = velocity.two_norm(); | |
| 172 | |||
| 173 | 11404400 | scheideggerTensor /= vNorm; | |
| 174 |
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11404400 | if (vNorm < 1e-20) |
| 175 | scheideggerTensor = 0; | ||
| 176 | |||
| 177 | //multiply with dispersivity difference: vv^T/||v||*(alphaL - alphaT), [m^2/s] --> alphaL = longitudinal disp., alphaT = transverse disp. | ||
| 178 | 34213200 | scheideggerTensor *= (dispersivity[0] - dispersivity[1]); | |
| 179 | |||
| 180 | //add ||v||*alphaT to the main diagonal:vv^T/||v||*(alphaL - alphaT) + ||v||*alphaT, [m^2/s] | ||
| 181 |
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34213200 | for (int i = 0; i < dimWorld; i++) |
| 182 | 91235200 | scheideggerTensor[i][i] += vNorm*dispersivity[1]; | |
| 183 | |||
| 184 | 11404400 | return scheideggerTensor; | |
| 185 | } | ||
| 186 | |||
| 187 | }; | ||
| 188 | |||
| 189 | } // end namespace Dumux | ||
| 190 | |||
| 191 | #endif | ||
| 192 |