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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 Darcy's law for cell-centered finite volume schemes with two-point flux approximation | ||
| 11 | */ | ||
| 12 | #ifndef DUMUX_DISCRETIZATION_CC_TPFA_DARCYS_LAW_HH | ||
| 13 | #define DUMUX_DISCRETIZATION_CC_TPFA_DARCYS_LAW_HH | ||
| 14 | |||
| 15 | #include <dumux/common/math.hh> | ||
| 16 | #include <dumux/common/parameters.hh> | ||
| 17 | #include <dumux/common/properties.hh> | ||
| 18 | |||
| 19 | #include <dumux/discretization/method.hh> | ||
| 20 | #include <dumux/discretization/extrusion.hh> | ||
| 21 | #include <dumux/discretization/cellcentered/tpfa/computetransmissibility.hh> | ||
| 22 | |||
| 23 | namespace Dumux { | ||
| 24 | |||
| 25 | // forward declarations | ||
| 26 | template<class TypeTag, class DiscretizationMethod> | ||
| 27 | class DarcysLawImplementation; | ||
| 28 | |||
| 29 | /*! | ||
| 30 | * \ingroup CCTpfaFlux | ||
| 31 | * \brief Darcy's law for cell-centered finite volume schemes with two-point flux approximation | ||
| 32 | * \note Darcy's law is specialized for network and surface grids (i.e. if grid dim < dimWorld) | ||
| 33 | * \tparam Scalar the scalar type for scalar physical quantities | ||
| 34 | * \tparam GridGeometry the grid geometry | ||
| 35 | * \tparam isNetwork whether we are computing on a network grid embedded in a higher world dimension | ||
| 36 | */ | ||
| 37 | template<class Scalar, class GridGeometry, bool isNetwork> | ||
| 38 | class CCTpfaDarcysLaw; | ||
| 39 | |||
| 40 | /*! | ||
| 41 | * \ingroup CCTpfaFlux | ||
| 42 | * \brief Darcy's law for cell-centered finite volume schemes with two-point flux approximation | ||
| 43 | * \note Darcy's law is specialized for network and surface grids (i.e. if grid dim < dimWorld) | ||
| 44 | */ | ||
| 45 | template <class TypeTag> | ||
| 46 | class DarcysLawImplementation<TypeTag, DiscretizationMethods::CCTpfa> | ||
| 47 | : public CCTpfaDarcysLaw<GetPropType<TypeTag, Properties::Scalar>, | ||
| 48 | GetPropType<TypeTag, Properties::GridGeometry>, | ||
| 49 | (GetPropType<TypeTag, Properties::GridGeometry>::GridView::dimension < GetPropType<TypeTag, Properties::GridGeometry>::GridView::dimensionworld)> | ||
| 50 | {}; | ||
| 51 | |||
| 52 | /*! | ||
| 53 | * \ingroup CCTpfaFlux | ||
| 54 | * \brief Class that fills the cache corresponding to tpfa Darcy's Law | ||
| 55 | */ | ||
| 56 | template<class GridGeometry> | ||
| 57 | class TpfaDarcysLawCacheFiller | ||
| 58 | { | ||
| 59 | using FVElementGeometry = typename GridGeometry::LocalView; | ||
| 60 | using SubControlVolumeFace = typename GridGeometry::SubControlVolumeFace; | ||
| 61 | using Element = typename GridGeometry::GridView::template Codim<0>::Entity; | ||
| 62 | |||
| 63 | public: | ||
| 64 | //! Function to fill a TpfaDarcysLawCache of a given scvf | ||
| 65 | //! This interface has to be met by any advection-related cache filler class | ||
| 66 | //! TODO: Probably get cache type out of the filler | ||
| 67 | template<class FluxVariablesCache, class Problem, class ElementVolumeVariables, class FluxVariablesCacheFiller> | ||
| 68 | 208576029 | static void fill(FluxVariablesCache& scvfFluxVarsCache, | |
| 69 | const Problem& problem, | ||
| 70 | const Element& element, | ||
| 71 | const FVElementGeometry& fvGeometry, | ||
| 72 | const ElementVolumeVariables& elemVolVars, | ||
| 73 | const SubControlVolumeFace& scvf, | ||
| 74 | const FluxVariablesCacheFiller& fluxVarsCacheFiller) | ||
| 75 | { | ||
| 76 | 406098944 | scvfFluxVarsCache.updateAdvection(problem, element, fvGeometry, elemVolVars, scvf); | |
| 77 | } | ||
| 78 | }; | ||
| 79 | |||
| 80 | /*! | ||
| 81 | * \ingroup CCTpfaFlux | ||
| 82 | * \brief The cache corresponding to tpfa Darcy's Law | ||
| 83 | */ | ||
| 84 | template<class AdvectionType, class GridGeometry> | ||
| 85 | 2280 | class TpfaDarcysLawCache | |
| 86 | { | ||
| 87 | using Scalar = typename AdvectionType::Scalar; | ||
| 88 | using FVElementGeometry = typename GridGeometry::LocalView; | ||
| 89 | using SubControlVolumeFace = typename GridGeometry::SubControlVolumeFace; | ||
| 90 | using Element = typename GridGeometry::GridView::template Codim<0>::Entity; | ||
| 91 | |||
| 92 | public: | ||
| 93 | using Filler = TpfaDarcysLawCacheFiller<GridGeometry>; | ||
| 94 | |||
| 95 | template<class Problem, class ElementVolumeVariables> | ||
| 96 | 197696415 | void updateAdvection(const Problem& problem, | |
| 97 | const Element& element, | ||
| 98 | const FVElementGeometry& fvGeometry, | ||
| 99 | const ElementVolumeVariables& elemVolVars, | ||
| 100 | const SubControlVolumeFace &scvf) | ||
| 101 | { | ||
| 102 | 197696415 | tij_ = AdvectionType::calculateTransmissibility(problem, element, fvGeometry, elemVolVars, scvf); | |
| 103 | } | ||
| 104 | |||
| 105 | 39294082 | const Scalar& advectionTij() const | |
| 106 | 530106200 | { return tij_; } | |
| 107 | |||
| 108 | private: | ||
| 109 | Scalar tij_; | ||
| 110 | }; | ||
| 111 | |||
| 112 | /*! | ||
| 113 | * \ingroup CCTpfaFlux | ||
| 114 | * \brief Specialization of the CCTpfaDarcysLaw grids where dim=dimWorld | ||
| 115 | */ | ||
| 116 | template<class ScalarType, class GridGeometry> | ||
| 117 | class CCTpfaDarcysLaw<ScalarType, GridGeometry, /*isNetwork*/ false> | ||
| 118 | { | ||
| 119 | using ThisType = CCTpfaDarcysLaw<ScalarType, GridGeometry, /*isNetwork*/ false>; | ||
| 120 | using FVElementGeometry = typename GridGeometry::LocalView; | ||
| 121 | using SubControlVolume = typename GridGeometry::SubControlVolume; | ||
| 122 | using SubControlVolumeFace = typename GridGeometry::SubControlVolumeFace; | ||
| 123 | using Extrusion = Extrusion_t<GridGeometry>; | ||
| 124 | using GridView = typename GridGeometry::GridView; | ||
| 125 | using Element = typename GridView::template Codim<0>::Entity; | ||
| 126 | |||
| 127 | static constexpr int dim = GridView::dimension; | ||
| 128 | static constexpr int dimWorld = GridView::dimensionworld; | ||
| 129 | |||
| 130 | using GlobalPosition = typename Element::Geometry::GlobalCoordinate; | ||
| 131 | |||
| 132 | public: | ||
| 133 | //! state the scalar type of the law | ||
| 134 | using Scalar = ScalarType; | ||
| 135 | |||
| 136 | using DiscretizationMethod = DiscretizationMethods::CCTpfa; | ||
| 137 | //! state the discretization method this implementation belongs to | ||
| 138 | static constexpr DiscretizationMethod discMethod{}; | ||
| 139 | |||
| 140 | //! state the type for the corresponding cache | ||
| 141 | using Cache = TpfaDarcysLawCache<ThisType, GridGeometry>; | ||
| 142 | |||
| 143 | /*! | ||
| 144 | * \brief Returns the advective flux of a fluid phase | ||
| 145 | * across the given sub-control volume face. | ||
| 146 | * \note This assembles the term | ||
| 147 | * \f$-|\sigma| \mathbf{n}^T \mathbf{K} \left( \nabla p - \rho \mathbf{g} \right)\f$, | ||
| 148 | * where \f$|\sigma|\f$ is the area of the face and \f$\mathbf{n}\f$ is the outer | ||
| 149 | * normal vector. Thus, the flux is given in N*m, and can be converted | ||
| 150 | * into a volume flux (m^3/s) or mass flux (kg/s) by applying an upwind scheme | ||
| 151 | * for the mobility or the product of density and mobility, respectively. | ||
| 152 | */ | ||
| 153 | template<class Problem, class ElementVolumeVariables, class ElementFluxVarsCache> | ||
| 154 | 582401360 | static Scalar flux(const Problem& problem, | |
| 155 | const Element& element, | ||
| 156 | const FVElementGeometry& fvGeometry, | ||
| 157 | const ElementVolumeVariables& elemVolVars, | ||
| 158 | const SubControlVolumeFace& scvf, | ||
| 159 | int phaseIdx, | ||
| 160 | const ElementFluxVarsCache& elemFluxVarsCache) | ||
| 161 | { | ||
| 162 |
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582401360 | static const bool enableGravity = getParamFromGroup<bool>(problem.paramGroup(), "Problem.EnableGravity"); |
| 163 | |||
| 164 |
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582401360 | const auto& fluxVarsCache = elemFluxVarsCache[scvf]; |
| 165 | |||
| 166 | // Get the inside and outside volume variables | ||
| 167 |
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807424815 | const auto& insideScv = fvGeometry.scv(scvf.insideScvIdx()); |
| 168 | 582401360 | const auto& insideVolVars = elemVolVars[insideScv]; | |
| 169 | 582401360 | const auto& outsideVolVars = elemVolVars[scvf.outsideScvIdx()]; | |
| 170 | |||
| 171 |
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582401360 | if (enableGravity) |
| 172 | { | ||
| 173 | // do averaging for the density over all neighboring elements | ||
| 174 |
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956985179 | const auto rho = scvf.boundary() ? outsideVolVars.density(phaseIdx) |
| 175 | 490039769 | : (insideVolVars.density(phaseIdx) + outsideVolVars.density(phaseIdx))*0.5; | |
| 176 | |||
| 177 | // Obtain inside and outside pressures | ||
| 178 |
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490981214 | const auto pInside = insideVolVars.pressure(phaseIdx); |
| 179 | 490981214 | const auto pOutside = outsideVolVars.pressure(phaseIdx); | |
| 180 | |||
| 181 | 490981214 | const auto& tij = fluxVarsCache.advectionTij(); | |
| 182 |
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490981214 | const auto& g = problem.spatialParams().gravity(scvf.ipGlobal()); |
| 183 | |||
| 184 | //! compute alpha := n^T*K*g | ||
| 185 |
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959365188 | const auto alpha_inside = vtmv(scvf.unitOuterNormal(), insideVolVars.permeability(), g)*insideVolVars.extrusionFactor(); |
| 186 | |||
| 187 |
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490981214 | Scalar flux = tij*(pInside - pOutside) + rho*Extrusion::area(fvGeometry, scvf)*alpha_inside; |
| 188 | |||
| 189 | //! On interior faces we have to add K-weighted gravitational contributions | ||
| 190 |
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490981214 | if (!scvf.boundary()) |
| 191 | { | ||
| 192 |
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490039709 | const auto& outsideScv = fvGeometry.scv(scvf.outsideScvIdx()); |
| 193 |
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490039709 | const auto outsideK = outsideVolVars.permeability(); |
| 194 |
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976123618 | const auto outsideTi = fvGeometry.gridGeometry().isPeriodic() |
| 195 |
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490039709 | ? computeTpfaTransmissibility(fvGeometry, fvGeometry.flipScvf(scvf.index()), outsideScv, outsideK, outsideVolVars.extrusionFactor()) |
| 196 | 508483305 | : -1.0*computeTpfaTransmissibility(fvGeometry, scvf, outsideScv, outsideK, outsideVolVars.extrusionFactor()); | |
| 197 | 957520710 | const auto alpha_outside = vtmv(scvf.unitOuterNormal(), outsideK, g)*outsideVolVars.extrusionFactor(); | |
| 198 | |||
| 199 | 490039709 | flux -= rho*tij/outsideTi*(alpha_inside - alpha_outside); | |
| 200 | } | ||
| 201 | |||
| 202 | 490822094 | return flux; | |
| 203 | } | ||
| 204 | else | ||
| 205 | { | ||
| 206 | // Obtain inside and outside pressures | ||
| 207 |
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91420146 | const auto pInside = insideVolVars.pressure(phaseIdx); |
| 208 | 90440946 | const auto pOutside = outsideVolVars.pressure(phaseIdx); | |
| 209 | |||
| 210 | // return flux | ||
| 211 | 91420146 | return fluxVarsCache.advectionTij()*(pInside - pOutside); | |
| 212 | } | ||
| 213 | } | ||
| 214 | |||
| 215 | // The flux variables cache has to be bound to an element prior to flux calculations | ||
| 216 | // During the binding, the transmissibility will be computed and stored using the method below. | ||
| 217 | template<class Problem, class ElementVolumeVariables> | ||
| 218 |
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207148589 | static Scalar calculateTransmissibility(const Problem& problem, |
| 219 | const Element& element, | ||
| 220 | const FVElementGeometry& fvGeometry, | ||
| 221 | const ElementVolumeVariables& elemVolVars, | ||
| 222 | const SubControlVolumeFace& scvf) | ||
| 223 | { | ||
| 224 |
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2280 | Scalar tij; |
| 225 | |||
| 226 |
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207148589 | const auto insideScvIdx = scvf.insideScvIdx(); |
| 227 | 207148589 | const auto& insideScv = fvGeometry.scv(insideScvIdx); | |
| 228 | 207148589 | const auto& insideVolVars = elemVolVars[insideScvIdx]; | |
| 229 | |||
| 230 |
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239891019 | const Scalar ti = computeTpfaTransmissibility(fvGeometry, scvf, insideScv, |
| 231 | 207148589 | getPermeability_(problem, insideVolVars, scvf.ipGlobal()), | |
| 232 |
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2280 | insideVolVars.extrusionFactor()); |
| 233 | |||
| 234 | // on the boundary (dirichlet) we only need ti | ||
| 235 |
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207148589 | if (scvf.boundary()) |
| 236 | 10114757 | tij = Extrusion::area(fvGeometry, scvf)*ti; | |
| 237 | |||
| 238 | // otherwise we compute a tpfa harmonic mean | ||
| 239 | else | ||
| 240 | { | ||
| 241 |
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197033832 | const auto outsideScvIdx = scvf.outsideScvIdx(); |
| 242 | // as we assemble fluxes from the neighbor to our element the outside index | ||
| 243 | // refers to the scv of our element, so we use the scv method | ||
| 244 | 197033832 | const auto& outsideScv = fvGeometry.scv(outsideScvIdx); | |
| 245 |
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197033832 | const auto& outsideVolVars = elemVolVars[outsideScvIdx]; |
| 246 |
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197033832 | const Scalar tj = fvGeometry.gridGeometry().isPeriodic() |
| 247 |
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197033832 | ? computeTpfaTransmissibility(fvGeometry, fvGeometry.flipScvf(scvf.index()), outsideScv, getPermeability_(problem, outsideVolVars, scvf.ipGlobal()), outsideVolVars.extrusionFactor()) |
| 248 | 229416548 | : -1.0*computeTpfaTransmissibility(fvGeometry, scvf, outsideScv, getPermeability_(problem, outsideVolVars, scvf.ipGlobal()), outsideVolVars.extrusionFactor()); | |
| 249 | |||
| 250 | // harmonic mean (check for division by zero!) | ||
| 251 | // TODO: This could lead to problems!? Is there a better way to do this? | ||
| 252 |
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197033832 | if (ti*tj <= 0.0) |
| 253 | tij = 0; | ||
| 254 | else | ||
| 255 | 197033832 | tij = Extrusion::area(fvGeometry, scvf)*(ti * tj)/(ti + tj); | |
| 256 | } | ||
| 257 | |||
| 258 | 207148589 | return tij; | |
| 259 | } | ||
| 260 | |||
| 261 | private: | ||
| 262 | template<class Problem, class VolumeVariables, | ||
| 263 | std::enable_if_t<!Problem::SpatialParams::evaluatePermeabilityAtScvfIP(), int> = 0> | ||
| 264 |
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51874076 | static decltype(auto) getPermeability_(const Problem& problem, |
| 265 | const VolumeVariables& volVars, | ||
| 266 | const GlobalPosition& scvfIpGlobal) | ||
| 267 |
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396057985 | { return volVars.permeability(); } |
| 268 | |||
| 269 | template<class Problem, class VolumeVariables, | ||
| 270 | std::enable_if_t<Problem::SpatialParams::evaluatePermeabilityAtScvfIP(), int> = 0> | ||
| 271 | static decltype(auto) getPermeability_(const Problem& problem, | ||
| 272 | const VolumeVariables& volVars, | ||
| 273 | const GlobalPosition& scvfIpGlobal) | ||
| 274 | { return problem.spatialParams().permeabilityAtPos(scvfIpGlobal); } | ||
| 275 | }; | ||
| 276 | |||
| 277 | /*! | ||
| 278 | * \ingroup CCTpfaFlux | ||
| 279 | * \brief Specialization of the CCTpfaDarcysLaw grids where dim < dimWorld (network/surface grids) | ||
| 280 | */ | ||
| 281 | template<class ScalarType, class GridGeometry> | ||
| 282 | class CCTpfaDarcysLaw<ScalarType, GridGeometry, /*isNetwork*/ true> | ||
| 283 | { | ||
| 284 | using ThisType = CCTpfaDarcysLaw<ScalarType, GridGeometry, /*isNetwork*/ true>; | ||
| 285 | using FVElementGeometry = typename GridGeometry::LocalView; | ||
| 286 | using SubControlVolume = typename GridGeometry::SubControlVolume; | ||
| 287 | using SubControlVolumeFace = typename GridGeometry::SubControlVolumeFace; | ||
| 288 | using Extrusion = Extrusion_t<GridGeometry>; | ||
| 289 | using GridView = typename GridGeometry::GridView; | ||
| 290 | using Element = typename GridView::template Codim<0>::Entity; | ||
| 291 | |||
| 292 | static constexpr int dim = GridView::dimension; | ||
| 293 | static constexpr int dimWorld = GridView::dimensionworld; | ||
| 294 | |||
| 295 | using GlobalPosition = typename Element::Geometry::GlobalCoordinate; | ||
| 296 | |||
| 297 | public: | ||
| 298 | //! state the scalar type of the law | ||
| 299 | using Scalar = ScalarType; | ||
| 300 | |||
| 301 | using DiscretizationMethod = DiscretizationMethods::CCTpfa; | ||
| 302 | //! state the discretization method this implementation belongs to | ||
| 303 | static constexpr DiscretizationMethod discMethod{}; | ||
| 304 | |||
| 305 | //! state the type for the corresponding cache | ||
| 306 | using Cache = TpfaDarcysLawCache<ThisType, GridGeometry>; | ||
| 307 | |||
| 308 | /*! | ||
| 309 | * \brief Returns the advective flux of a fluid phase | ||
| 310 | * across the given sub-control volume face. | ||
| 311 | * \note This assembles the term | ||
| 312 | * \f$-|\sigma| \mathbf{n}^T \mathbf{K} \left( \nabla p - \rho \mathbf{g} \right)\f$, | ||
| 313 | * where \f$|\sigma|\f$ is the area of the face and \f$\mathbf{n}\f$ is the outer | ||
| 314 | * normal vector. Thus, the flux is given in N*m, and can be converted | ||
| 315 | * into a volume flux (m^3/s) or mass flux (kg/s) by applying an upwind scheme | ||
| 316 | * for the mobility or the product of density and mobility, respectively. | ||
| 317 | */ | ||
| 318 | template<class Problem, class ElementVolumeVariables, class ElementFluxVarsCache> | ||
| 319 | 65759581 | static Scalar flux(const Problem& problem, | |
| 320 | const Element& element, | ||
| 321 | const FVElementGeometry& fvGeometry, | ||
| 322 | const ElementVolumeVariables& elemVolVars, | ||
| 323 | const SubControlVolumeFace& scvf, | ||
| 324 | int phaseIdx, | ||
| 325 | const ElementFluxVarsCache& elemFluxVarsCache) | ||
| 326 | { | ||
| 327 |
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65759581 | static const bool gravity = getParamFromGroup<bool>(problem.paramGroup(), "Problem.EnableGravity"); |
| 328 | |||
| 329 |
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65759581 | const auto& fluxVarsCache = elemFluxVarsCache[scvf]; |
| 330 | |||
| 331 | // Get the inside and outside volume variables | ||
| 332 |
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72870542 | const auto& insideScv = fvGeometry.scv(scvf.insideScvIdx()); |
| 333 | 65759581 | const auto& insideVolVars = elemVolVars[insideScv]; | |
| 334 | 65759581 | const auto& outsideVolVars = elemVolVars[scvf.outsideScvIdx()]; | |
| 335 | |||
| 336 |
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65759581 | if (gravity) |
| 337 | { | ||
| 338 | // do averaging for the density over all neighboring elements | ||
| 339 | 118280942 | const auto rho = [&]() | |
| 340 | { | ||
| 341 | // boundaries | ||
| 342 |
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39373642 | if (scvf.boundary()) |
| 343 | 72052 | return outsideVolVars.density(phaseIdx); | |
| 344 | |||
| 345 | // inner faces with two neighboring elements | ||
| 346 |
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39301590 | else if (scvf.numOutsideScvs() == 1) |
| 347 | 36864266 | return (insideVolVars.density(phaseIdx) + outsideVolVars.density(phaseIdx))*0.5; | |
| 348 | |||
| 349 | // inner faces in networks (general case) | ||
| 350 | else | ||
| 351 | { | ||
| 352 | 2437324 | Scalar rho(insideVolVars.density(phaseIdx)); | |
| 353 |
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10790491 | for (unsigned int i = 0; i < scvf.numOutsideScvs(); ++i) |
| 354 | { | ||
| 355 | 8353167 | const auto outsideScvIdx = scvf.outsideScvIdx(i); | |
| 356 | 8353167 | const auto& outsideVolVars = elemVolVars[outsideScvIdx]; | |
| 357 | 8353167 | rho += outsideVolVars.density(phaseIdx); | |
| 358 | } | ||
| 359 | 2437324 | return rho/(scvf.numOutsideScvs()+1); | |
| 360 | } | ||
| 361 | 39453650 | }(); | |
| 362 | |||
| 363 | 39453650 | const auto& tij = fluxVarsCache.advectionTij(); | |
| 364 | 39453650 | const auto& g = problem.spatialParams().gravity(scvf.ipGlobal()); | |
| 365 | |||
| 366 | // Obtain inside and outside pressures | ||
| 367 | 39453650 | const auto pInside = insideVolVars.pressure(phaseIdx); | |
| 368 | 118280942 | const auto pOutside = [&]() | |
| 369 | { | ||
| 370 | // Dirichlet boundaries and inner faces with one neighbor | ||
| 371 |
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39373642 | if (scvf.numOutsideScvs() == 1) |
| 372 | 36936318 | return outsideVolVars.pressure(phaseIdx); | |
| 373 | |||
| 374 | // inner faces in networks (general case) | ||
| 375 | else | ||
| 376 | { | ||
| 377 | 2437324 | Scalar sumTi(tij); | |
| 378 | 2437324 | Scalar sumPTi(tij*pInside); | |
| 379 | |||
| 380 | // add inside gravitational contribution | ||
| 381 | 2437324 | sumPTi += rho*Extrusion::area(fvGeometry, scvf) | |
| 382 | 2437324 | *insideVolVars.extrusionFactor() | |
| 383 | 2437324 | *vtmv(scvf.unitOuterNormal(), insideVolVars.permeability(), g); | |
| 384 | |||
| 385 |
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10790491 | for (unsigned int i = 0; i < scvf.numOutsideScvs(); ++i) |
| 386 | { | ||
| 387 | 8353167 | const auto outsideScvIdx = scvf.outsideScvIdx(i); | |
| 388 | 8353167 | const auto& flippedScvf = fvGeometry.flipScvf(scvf.index(), i); | |
| 389 | 8353167 | const auto& outsideVolVars = elemVolVars[outsideScvIdx]; | |
| 390 | 8353167 | const auto& outsideFluxVarsCache = elemFluxVarsCache[flippedScvf]; | |
| 391 | 8353167 | sumTi += outsideFluxVarsCache.advectionTij(); | |
| 392 | 8353167 | sumPTi += outsideFluxVarsCache.advectionTij()*outsideVolVars.pressure(phaseIdx); | |
| 393 | |||
| 394 | // add outside gravitational contribution | ||
| 395 | 8353167 | sumPTi += rho*Extrusion::area(fvGeometry, scvf) | |
| 396 | 8353167 | *outsideVolVars.extrusionFactor() | |
| 397 | 16706334 | *vtmv(flippedScvf.unitOuterNormal(), outsideVolVars.permeability(), g); | |
| 398 | } | ||
| 399 | 2437324 | return sumPTi/sumTi; | |
| 400 | } | ||
| 401 | 39453650 | }(); | |
| 402 | |||
| 403 | //! precompute alpha := n^T*K*g | ||
| 404 |
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78907300 | const auto alpha_inside = vtmv(scvf.unitOuterNormal(), insideVolVars.permeability(), g)*insideVolVars.extrusionFactor(); |
| 405 | |||
| 406 |
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39453650 | Scalar flux = tij*(pInside - pOutside) + Extrusion::area(fvGeometry, scvf)*rho*alpha_inside; |
| 407 | |||
| 408 | //! On interior faces with one neighbor we have to add K-weighted gravitational contributions | ||
| 409 |
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39453650 | if (!scvf.boundary() && scvf.numOutsideScvs() == 1) |
| 410 | { | ||
| 411 |
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36944042 | const auto& outsideScv = fvGeometry.scv(scvf.outsideScvIdx()); |
| 412 | 36944042 | const auto& outsideScvf = fvGeometry.flipScvf(scvf.index()); | |
| 413 | 36944042 | const auto outsideK = outsideVolVars.permeability(); | |
| 414 | 36944042 | const auto outsideTi = computeTpfaTransmissibility(fvGeometry, outsideScvf, outsideScv, outsideK, outsideVolVars.extrusionFactor()); | |
| 415 | 36944042 | const auto alpha_outside = vtmv(outsideScvf.unitOuterNormal(), outsideK, g)*outsideVolVars.extrusionFactor(); | |
| 416 | |||
| 417 | 36944042 | flux -= rho*tij/outsideTi*(alpha_inside + alpha_outside); | |
| 418 | } | ||
| 419 | |||
| 420 | return flux; | ||
| 421 | } | ||
| 422 | else | ||
| 423 | { | ||
| 424 | // Obtain inside and outside pressures | ||
| 425 | 26305931 | const auto pInside = insideVolVars.pressure(phaseIdx); | |
| 426 | 75510977 | const auto pOutside = [&]() | |
| 427 | { | ||
| 428 | // Dirichlet boundaries and inner faces with two neighboring elements | ||
| 429 |
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22899115 | if (scvf.numOutsideScvs() <= 1) |
| 430 | 21879670 | return outsideVolVars.pressure(phaseIdx); | |
| 431 | |||
| 432 | // inner faces in networks (general case) | ||
| 433 | else | ||
| 434 | { | ||
| 435 | 1019445 | const auto& insideFluxVarsCache = elemFluxVarsCache[scvf]; | |
| 436 | 1019445 | Scalar sumTi(insideFluxVarsCache.advectionTij()); | |
| 437 | 1019445 | Scalar sumPTi(insideFluxVarsCache.advectionTij()*pInside); | |
| 438 | |||
| 439 |
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4059490 | for (unsigned int i = 0; i < scvf.numOutsideScvs(); ++i) |
| 440 | { | ||
| 441 | 3040045 | const auto outsideScvIdx = scvf.outsideScvIdx(i); | |
| 442 | 3040045 | const auto& flippedScvf = fvGeometry.flipScvf(scvf.index(), i); | |
| 443 | 3040045 | const auto& outsideVolVars = elemVolVars[outsideScvIdx]; | |
| 444 | 3040045 | const auto& outsideFluxVarsCache = elemFluxVarsCache[flippedScvf]; | |
| 445 | 3040045 | sumTi += outsideFluxVarsCache.advectionTij(); | |
| 446 | 3040045 | sumPTi += outsideFluxVarsCache.advectionTij()*outsideVolVars.pressure(phaseIdx); | |
| 447 | } | ||
| 448 | 1019445 | return sumPTi/sumTi; | |
| 449 | } | ||
| 450 | 26305931 | }(); | |
| 451 | |||
| 452 | // return flux | ||
| 453 | 26305931 | return fluxVarsCache.advectionTij()*(pInside - pOutside); | |
| 454 | } | ||
| 455 | } | ||
| 456 | |||
| 457 | // The flux variables cache has to be bound to an element prior to flux calculations | ||
| 458 | // During the binding, the transmissibility will be computed and stored using the method below. | ||
| 459 | template<class Problem, class ElementVolumeVariables> | ||
| 460 |
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10097704 | static Scalar calculateTransmissibility(const Problem& problem, |
| 461 | const Element& element, | ||
| 462 | const FVElementGeometry& fvGeometry, | ||
| 463 | const ElementVolumeVariables& elemVolVars, | ||
| 464 | const SubControlVolumeFace& scvf) | ||
| 465 | { | ||
| 466 | Scalar tij; | ||
| 467 | |||
| 468 |
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10097704 | const auto insideScvIdx = scvf.insideScvIdx(); |
| 469 | 10097704 | const auto& insideScv = fvGeometry.scv(insideScvIdx); | |
| 470 | 10097704 | const auto& insideVolVars = elemVolVars[insideScvIdx]; | |
| 471 | |||
| 472 |
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10097704 | const Scalar ti = computeTpfaTransmissibility(fvGeometry, scvf, insideScv, |
| 473 | 10097704 | getPermeability_(problem, insideVolVars, scvf.ipGlobal()), | |
| 474 | insideVolVars.extrusionFactor()); | ||
| 475 | |||
| 476 | // for the boundary (dirichlet) or at branching points we only need ti | ||
| 477 |
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10097704 | if (scvf.boundary() || scvf.numOutsideScvs() > 1) |
| 478 | 183820 | tij = Extrusion::area(fvGeometry, scvf)*ti; | |
| 479 | |||
| 480 | // otherwise we compute a tpfa harmonic mean | ||
| 481 | else | ||
| 482 | { | ||
| 483 |
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9913884 | const auto outsideScvIdx = scvf.outsideScvIdx(); |
| 484 | // as we assemble fluxes from the neighbor to our element the outside index | ||
| 485 | // refers to the scv of our element, so we use the scv method | ||
| 486 | 9913884 | const auto& outsideScv = fvGeometry.scv(outsideScvIdx); | |
| 487 | 9913884 | const auto& outsideVolVars = elemVolVars[outsideScvIdx]; | |
| 488 |
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9913884 | const Scalar tj = computeTpfaTransmissibility(fvGeometry, fvGeometry.flipScvf(scvf.index()), outsideScv, |
| 489 | 9913884 | getPermeability_(problem, outsideVolVars, scvf.ipGlobal()), | |
| 490 | outsideVolVars.extrusionFactor()); | ||
| 491 | |||
| 492 | // harmonic mean (check for division by zero!) | ||
| 493 | // TODO: This could lead to problems!? Is there a better way to do this? | ||
| 494 |
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9913884 | if (ti*tj <= 0.0) |
| 495 | tij = 0; | ||
| 496 | else | ||
| 497 | 9913884 | tij = Extrusion::area(fvGeometry, scvf)*(ti * tj)/(ti + tj); | |
| 498 | } | ||
| 499 | |||
| 500 | 10097704 | return tij; | |
| 501 | } | ||
| 502 | |||
| 503 | private: | ||
| 504 | template<class Problem, class VolumeVariables, | ||
| 505 | std::enable_if_t<!Problem::SpatialParams::evaluatePermeabilityAtScvfIP(), int> = 0> | ||
| 506 | static decltype(auto) getPermeability_(const Problem& problem, | ||
| 507 | const VolumeVariables& volVars, | ||
| 508 | const GlobalPosition& scvfIpGlobal) | ||
| 509 |
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10368606 | { return volVars.permeability(); } |
| 510 | |||
| 511 | template<class Problem, class VolumeVariables, | ||
| 512 | std::enable_if_t<Problem::SpatialParams::evaluatePermeabilityAtScvfIP(), int> = 0> | ||
| 513 | 650 | static decltype(auto) getPermeability_(const Problem& problem, | |
| 514 | const VolumeVariables& volVars, | ||
| 515 | const GlobalPosition& scvfIpGlobal) | ||
| 516 |
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1266 | { return problem.spatialParams().permeabilityAtPos(scvfIpGlobal); } |
| 517 | }; | ||
| 518 | |||
| 519 | } // end namespace Dumux | ||
| 520 | |||
| 521 | #endif | ||
| 522 |