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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-FileCopyrightText: 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 This file contains the data which is required to calculate | ||
| 11 | * dispersive fluxes. | ||
| 12 | */ | ||
| 13 | #ifndef DUMUX_DISCRETIZATION_CC_TPFA_DISPERSION_FLUX_HH | ||
| 14 | #define DUMUX_DISCRETIZATION_CC_TPFA_DISPERSION_FLUX_HH | ||
| 15 | |||
| 16 | #include <dune/common/fvector.hh> | ||
| 17 | #include <dune/common/fmatrix.hh> | ||
| 18 | |||
| 19 | #include <dumux/common/math.hh> | ||
| 20 | #include <dumux/common/properties.hh> | ||
| 21 | #include <dumux/discretization/method.hh> | ||
| 22 | #include <dumux/discretization/extrusion.hh> | ||
| 23 | #include <dumux/discretization/cellcentered/tpfa/computetransmissibility.hh> | ||
| 24 | #include <dumux/flux/traits.hh> | ||
| 25 | #include <dumux/flux/referencesystemformulation.hh> | ||
| 26 | |||
| 27 | namespace Dumux { | ||
| 28 | |||
| 29 | // forward declaration | ||
| 30 | template<class TypeTag, class DiscretizationMethod, ReferenceSystemFormulation referenceSystem> | ||
| 31 | class DispersionFluxImplementation; | ||
| 32 | |||
| 33 | /*! | ||
| 34 | * \ingroup CCTpfaFlux | ||
| 35 | * \brief Specialization of a Dispersion flux for the cctpfa method | ||
| 36 | */ | ||
| 37 | template <class TypeTag, ReferenceSystemFormulation referenceSystem> | ||
| 38 | class DispersionFluxImplementation<TypeTag, DiscretizationMethods::CCTpfa, referenceSystem> | ||
| 39 | { | ||
| 40 | using Scalar = GetPropType<TypeTag, Properties::Scalar>; | ||
| 41 | using Problem = GetPropType<TypeTag, Properties::Problem>; | ||
| 42 | using FluidSystem = GetPropType<TypeTag, Properties::FluidSystem>; | ||
| 43 | using VolumeVariables = GetPropType<TypeTag, Properties::VolumeVariables>; | ||
| 44 | using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>; | ||
| 45 | using FVElementGeometry = typename GridGeometry::LocalView; | ||
| 46 | using SubControlVolume = typename GridGeometry::SubControlVolume; | ||
| 47 | using SubControlVolumeFace = typename GridGeometry::SubControlVolumeFace; | ||
| 48 | using Extrusion = Extrusion_t<GridGeometry>; | ||
| 49 | using ElementVolumeVariables = typename GetPropType<TypeTag, Properties::GridVolumeVariables>::LocalView; | ||
| 50 | using GridFluxVariablesCache = GetPropType<TypeTag, Properties::GridFluxVariablesCache>; | ||
| 51 | using ElementFluxVariablesCache = typename GridFluxVariablesCache::LocalView; | ||
| 52 | using FluxVarCache = typename GridFluxVariablesCache::FluxVariablesCache; | ||
| 53 | using FluxVariables = GetPropType<TypeTag, Properties::FluxVariables>; | ||
| 54 | using FluxTraits = typename Dumux::FluxTraits<FluxVariables>; | ||
| 55 | using BalanceEqOpts = GetPropType<TypeTag, Properties::BalanceEqOpts>; | ||
| 56 | using GridView = typename GetPropType<TypeTag, Properties::GridGeometry>::GridView; | ||
| 57 | using Element = typename GridView::template Codim<0>::Entity; | ||
| 58 | using ModelTraits = GetPropType<TypeTag, Properties::ModelTraits>; | ||
| 59 | using Indices = typename ModelTraits::Indices; | ||
| 60 | |||
| 61 | static constexpr int dim = GridView::dimension; | ||
| 62 | static constexpr int dimWorld = GridView::dimensionworld; | ||
| 63 | |||
| 64 | static constexpr int numPhases = ModelTraits::numFluidPhases(); | ||
| 65 | static constexpr int numComponents = ModelTraits::numFluidComponents(); | ||
| 66 | |||
| 67 | using DimWorldMatrix = Dune::FieldMatrix<Scalar, dimWorld, dimWorld>; | ||
| 68 | using ComponentFluxVector = Dune::FieldVector<Scalar, numComponents>; | ||
| 69 | using HeatFluxScalar = Scalar; | ||
| 70 | |||
| 71 | static constexpr bool stationaryVelocityField = FluxTraits::hasStationaryVelocityField(); | ||
| 72 | |||
| 73 | public: | ||
| 74 | |||
| 75 | //return the reference system | ||
| 76 | static constexpr ReferenceSystemFormulation referenceSystemFormulation() | ||
| 77 | { return referenceSystem; } | ||
| 78 | |||
| 79 | /*! | ||
| 80 | * \brief Returns the dispersive fluxes of all components within | ||
| 81 | * a fluid phase across the given sub-control volume face. | ||
| 82 | * The computed fluxes are given in mole/s or kg/s, depending | ||
| 83 | * on the template parameter ReferenceSystemFormulation. | ||
| 84 | */ | ||
| 85 |
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989800 | static ComponentFluxVector compositionalDispersionFlux(const Problem& problem, |
| 86 | const Element& element, | ||
| 87 | const FVElementGeometry& fvGeometry, | ||
| 88 | const ElementVolumeVariables& elemVolVars, | ||
| 89 | const SubControlVolumeFace& scvf, | ||
| 90 | const int phaseIdx, | ||
| 91 | const ElementFluxVariablesCache& elemFluxVarsCache) | ||
| 92 | { | ||
| 93 |
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989800 | if (scvf.numOutsideScvs() > 1 ) |
| 94 | ✗ | DUNE_THROW(Dune::NotImplemented, "\n Dispersion using ccTPFA is only implemented for conforming grids."); | |
| 95 | if (!stationaryVelocityField) | ||
| 96 | 989800 | DUNE_THROW(Dune::NotImplemented, "\n Dispersion using ccTPFA is only implemented for problems with stationary velocity fields"); | |
| 97 | |||
| 98 | 989800 | ComponentFluxVector componentFlux(0.0); | |
| 99 | 989800 | const auto& insideVolVars = elemVolVars[scvf.insideScvIdx()]; | |
| 100 | 989800 | const auto& outsideVolVars = elemVolVars[scvf.outsideScvIdx()]; | |
| 101 | |||
| 102 | 989800 | const auto rhoInside = massOrMolarDensity(insideVolVars, referenceSystem, phaseIdx); | |
| 103 | 989800 | const auto rhoOutside = massOrMolarDensity(outsideVolVars, referenceSystem, phaseIdx); | |
| 104 | 989800 | const Scalar rho = 0.5*(rhoInside + rhoOutside); | |
| 105 | |||
| 106 |
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2969400 | for (int compIdx = 0; compIdx < numComponents; compIdx++) |
| 107 | { | ||
| 108 | if constexpr (!FluidSystem::isTracerFluidSystem()) | ||
| 109 | if (compIdx == FluidSystem::getMainComponent(phaseIdx)) | ||
| 110 | continue; | ||
| 111 | |||
| 112 | 1979600 | const auto& dispersionTensor = | |
| 113 | 1979600 | ModelTraits::CompositionalDispersionModel::compositionalDispersionTensor(problem, scvf, fvGeometry, | |
| 114 | elemVolVars, elemFluxVarsCache, | ||
| 115 | phaseIdx, compIdx); | ||
| 116 | |||
| 117 | // Here we assume that the Dispersion tensor is given at the scvfs such that Di = Dj | ||
| 118 | // This means that we don't have to distinguish between inside and outside tensors | ||
| 119 | 1979600 | const auto tij = calculateTransmissibility_(fvGeometry, elemVolVars, scvf, dispersionTensor); | |
| 120 | |||
| 121 | 1979600 | const auto xInside = massOrMoleFraction(insideVolVars, referenceSystem, phaseIdx, compIdx); | |
| 122 | 1979600 | const auto xOutide = massOrMoleFraction(outsideVolVars, referenceSystem, phaseIdx, compIdx); | |
| 123 | |||
| 124 | 1979600 | componentFlux[compIdx] = (rho * tij * (xInside-xOutide)); | |
| 125 | if constexpr (!FluidSystem::isTracerFluidSystem()) | ||
| 126 | if (BalanceEqOpts::mainComponentIsBalanced(phaseIdx)) | ||
| 127 | componentFlux[FluidSystem::getMainComponent(phaseIdx)] -= componentFlux[compIdx]; | ||
| 128 | } | ||
| 129 | 989800 | return componentFlux; | |
| 130 | } | ||
| 131 | |||
| 132 | /*! | ||
| 133 | * \brief Returns the thermal dispersive flux | ||
| 134 | * across the given sub-control volume face. | ||
| 135 | */ | ||
| 136 | static HeatFluxScalar thermalDispersionFlux(const Problem& problem, | ||
| 137 | const Element& element, | ||
| 138 | const FVElementGeometry& fvGeometry, | ||
| 139 | const ElementVolumeVariables& elemVolVars, | ||
| 140 | const SubControlVolumeFace& scvf, | ||
| 141 | const int phaseIdx, | ||
| 142 | const ElementFluxVariablesCache& elemFluxVarsCache) | ||
| 143 | { | ||
| 144 | if (scvf.numOutsideScvs() > 1 ) | ||
| 145 | DUNE_THROW(Dune::NotImplemented, "\n Dispersion using ccTPFA is only implemented for conforming grids."); | ||
| 146 | if (!stationaryVelocityField) | ||
| 147 | DUNE_THROW(Dune::NotImplemented, "\n Dispersion using ccTPFA is only implemented for problems with stationary velocity fields"); | ||
| 148 | |||
| 149 | const auto& insideVolVars = elemVolVars[scvf.insideScvIdx()]; | ||
| 150 | const auto& outsideVolVars = elemVolVars[scvf.outsideScvIdx()]; | ||
| 151 | |||
| 152 | const auto& dispersionTensor = | ||
| 153 | ModelTraits::ThermalDispersionModel::thermalDispersionTensor(problem, scvf, fvGeometry, | ||
| 154 | elemVolVars, elemFluxVarsCache, | ||
| 155 | phaseIdx); | ||
| 156 | |||
| 157 | // Here we assume that the Dispersion tensor is given at the scvfs such that Di = Dj | ||
| 158 | // This means that we don't have to distinguish between inside and outside tensors | ||
| 159 | const auto tij = calculateTransmissibility_(fvGeometry, elemVolVars, scvf, dispersionTensor); | ||
| 160 | |||
| 161 | // get the inside/outside temperatures | ||
| 162 | const auto tInside = insideVolVars.temperature(); | ||
| 163 | const auto tOutside = outsideVolVars.temperature(); | ||
| 164 | |||
| 165 | // compute the heat conduction flux | ||
| 166 | return tij * (tInside-tOutside); | ||
| 167 | } | ||
| 168 | |||
| 169 | private: | ||
| 170 | |||
| 171 | //! Compute transmissibilities | ||
| 172 | template<class Tensor> | ||
| 173 | 1979600 | static Scalar calculateTransmissibility_(const FVElementGeometry& fvGeometry, | |
| 174 | const ElementVolumeVariables& elemVolVars, | ||
| 175 | const SubControlVolumeFace& scvf, | ||
| 176 | const Tensor& D) | ||
| 177 | { | ||
| 178 | Scalar tij; | ||
| 179 | |||
| 180 | 1979600 | const auto insideScvIdx = scvf.insideScvIdx(); | |
| 181 | 1979600 | const auto& insideScv = fvGeometry.scv(insideScvIdx); | |
| 182 | 1979600 | const auto& insideVolVars = elemVolVars[insideScvIdx]; | |
| 183 | |||
| 184 |
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1979600 | const Scalar ti = computeTpfaTransmissibility(fvGeometry, scvf, insideScv, D, insideVolVars.extrusionFactor()); |
| 185 | |||
| 186 | // for the boundary (dirichlet) we only need ti | ||
| 187 |
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1979600 | if (scvf.boundary()) |
| 188 | { | ||
| 189 | ✗ | tij = Extrusion::area(fvGeometry, scvf)*ti; | |
| 190 | } | ||
| 191 | // otherwise we compute a tpfa harmonic mean | ||
| 192 | else | ||
| 193 | { | ||
| 194 | 1979600 | const auto outsideScvIdx = scvf.outsideScvIdx(); | |
| 195 | 1979600 | const auto& outsideScv = fvGeometry.scv(outsideScvIdx); | |
| 196 | 1979600 | const auto& outsideVolVars = elemVolVars[outsideScvIdx]; | |
| 197 | |||
| 198 | Scalar tj; | ||
| 199 | if constexpr (dim == dimWorld) | ||
| 200 | // assume the normal vector from outside is anti parallel so we save flipping a vector | ||
| 201 |
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1979600 | tj = -1.0*computeTpfaTransmissibility(fvGeometry, scvf, outsideScv, D, outsideVolVars.extrusionFactor()); |
| 202 | else | ||
| 203 | tj = computeTpfaTransmissibility(fvGeometry, fvGeometry.flipScvf(scvf.index()), outsideScv, D, outsideVolVars.extrusionFactor()); | ||
| 204 | |||
| 205 | // check for division by zero! | ||
| 206 |
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1979600 | if (ti*tj <= 0.0) |
| 207 | tij = 0; | ||
| 208 | else | ||
| 209 | 1979600 | tij = Extrusion::area(fvGeometry, scvf)*(ti * tj)/(ti + tj); | |
| 210 | } | ||
| 211 | |||
| 212 | 1979600 | return tij; | |
| 213 | } | ||
| 214 | |||
| 215 | }; | ||
| 216 | |||
| 217 | } // end namespace Dumux | ||
| 218 | |||
| 219 | #endif | ||
| 220 |