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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 Assembly | ||
| 10 | * \ingroup CVFEDiscretization | ||
| 11 | * \brief An assembler for Jacobian and residual contribution per element (CVFE methods) | ||
| 12 | */ | ||
| 13 | #ifndef DUMUX_CVFE_LOCAL_ASSEMBLER_HH | ||
| 14 | #define DUMUX_CVFE_LOCAL_ASSEMBLER_HH | ||
| 15 | |||
| 16 | #include <dune/common/exceptions.hh> | ||
| 17 | #include <dune/common/hybridutilities.hh> | ||
| 18 | #include <dune/common/reservedvector.hh> | ||
| 19 | #include <dune/grid/common/gridenums.hh> | ||
| 20 | #include <dune/istl/matrixindexset.hh> | ||
| 21 | #include <dune/istl/bvector.hh> | ||
| 22 | |||
| 23 | #include <dumux/common/properties.hh> | ||
| 24 | #include <dumux/common/parameters.hh> | ||
| 25 | #include <dumux/common/numericdifferentiation.hh> | ||
| 26 | #include <dumux/common/typetraits/localdofs_.hh> | ||
| 27 | |||
| 28 | #include <dumux/assembly/numericepsilon.hh> | ||
| 29 | #include <dumux/assembly/diffmethod.hh> | ||
| 30 | #include <dumux/assembly/fvlocalassemblerbase.hh> | ||
| 31 | #include <dumux/assembly/partialreassembler.hh> | ||
| 32 | #include <dumux/assembly/entitycolor.hh> | ||
| 33 | |||
| 34 | #include <dumux/discretization/cvfe/elementsolution.hh> | ||
| 35 | #include <dumux/discretization/cvfe/localdof.hh> | ||
| 36 | |||
| 37 | #include "volvardeflectionhelper_.hh" | ||
| 38 | |||
| 39 | namespace Dumux { | ||
| 40 | |||
| 41 | #ifndef DOXYGEN | ||
| 42 | namespace Detail::CVFE { | ||
| 43 | |||
| 44 | struct NoOperator | ||
| 45 | { | ||
| 46 | template<class... Args> | ||
| 47 | constexpr void operator()(Args&&...) const {} | ||
| 48 | }; | ||
| 49 | |||
| 50 | template<class X, class Y> | ||
| 51 | using Impl = std::conditional_t<!std::is_same_v<X, void>, X, Y>; | ||
| 52 | |||
| 53 | template<typename ElemVars, typename FVG> | ||
| 54 | using DefinesDeflectionHelperType = typename ElemVars::template DeflectionHelper<FVG>; | ||
| 55 | |||
| 56 | template<typename ElemVars, typename FVG> | ||
| 57 | constexpr inline bool definesVolVarsDeflectionHelperType() | ||
| 58 | { return Dune::Std::is_detected<DefinesDeflectionHelperType, ElemVars, FVG>::value; } | ||
| 59 | |||
| 60 | template<class GridVarsCache, class ElemVars, class FVG> | ||
| 61 | 11097974 | auto VolVarsDeflectionHelper(GridVarsCache& gridVarsCache, ElemVars& elemVars, const FVG& fvg, bool deflectAllVolVars) | |
| 62 | { | ||
| 63 | if constexpr (definesVolVarsDeflectionHelperType<ElemVars, FVG>()) | ||
| 64 | { | ||
| 65 | using DeflectionHelper = typename ElemVars::template DeflectionHelper<FVG>; | ||
| 66 | return DeflectionHelper(gridVarsCache, elemVars, fvg, deflectAllVolVars); | ||
| 67 | } | ||
| 68 | else | ||
| 69 | { | ||
| 70 | using DeflectionHelper = Detail::VolVarsDeflectionHelper<GridVarsCache, FVG>; | ||
| 71 | 11097974 | return DeflectionHelper(gridVarsCache, elemVars, fvg, deflectAllVolVars); | |
| 72 | } | ||
| 73 | }; | ||
| 74 | |||
| 75 | } // end namespace Detail | ||
| 76 | #endif // DOXYGEN | ||
| 77 | |||
| 78 | /*! | ||
| 79 | * \ingroup Assembly | ||
| 80 | * \ingroup CVFEDiscretization | ||
| 81 | * \brief A base class for all local CVFE assemblers | ||
| 82 | * \tparam TypeTag The TypeTag | ||
| 83 | * \tparam Assembler The assembler type | ||
| 84 | * \tparam Implementation The actual implementation | ||
| 85 | * \tparam implicit Specifies whether the time discretization is implicit or not not (i.e. explicit) | ||
| 86 | */ | ||
| 87 | template<class TypeTag, class Assembler, class Implementation, bool implicit> | ||
| 88 | 20302091 | class CVFELocalAssemblerBase : public FVLocalAssemblerBase<TypeTag, Assembler, Implementation, implicit> | |
| 89 | { | ||
| 90 | using ParentType = FVLocalAssemblerBase<TypeTag, Assembler, Implementation, implicit>; | ||
| 91 | using JacobianMatrix = GetPropType<TypeTag, Properties::JacobianMatrix>; | ||
| 92 | using GridVariables = GetPropType<TypeTag, Properties::GridVariables>; | ||
| 93 | using GridVolumeVariables = typename GridVariables::GridVolumeVariables; | ||
| 94 | using ElementVolumeVariables = typename GridVariables::GridVolumeVariables::LocalView; | ||
| 95 | using VolumeVariables = GetPropType<TypeTag, Properties::VolumeVariables>; | ||
| 96 | using SolutionVector = typename Assembler::SolutionVector; | ||
| 97 | |||
| 98 | static constexpr int numEq = GetPropType<TypeTag, Properties::ModelTraits>::numEq(); | ||
| 99 | static constexpr int dim = GetPropType<TypeTag, Properties::GridGeometry>::GridView::dimension; | ||
| 100 | |||
| 101 | public: | ||
| 102 | |||
| 103 | 16763452 | using ParentType::ParentType; | |
| 104 | |||
| 105 | 13671128 | void bindLocalViews() | |
| 106 | { | ||
| 107 | 13671128 | ParentType::bindLocalViews(); | |
| 108 | 13671128 | this->elemBcTypes().update(this->asImp_().problem(), this->element(), this->fvGeometry()); | |
| 109 | 13671128 | } | |
| 110 | |||
| 111 | |||
| 112 | /*! | ||
| 113 | * \brief Computes the derivatives with respect to the given element and adds them | ||
| 114 | * to the global matrix. The element residual is written into the right hand side. | ||
| 115 | */ | ||
| 116 | template <class ResidualVector, class PartialReassembler = DefaultPartialReassembler, class CouplingFunction = Detail::CVFE::NoOperator> | ||
| 117 | 15511202 | void assembleJacobianAndResidual(JacobianMatrix& jac, ResidualVector& res, GridVariables& gridVariables, | |
| 118 | const PartialReassembler* partialReassembler = nullptr, | ||
| 119 | const CouplingFunction& maybeAssembleCouplingBlocks = {}) | ||
| 120 | { | ||
| 121 | 15511202 | this->asImp_().bindLocalViews(); | |
| 122 | 15511202 | const auto eIdxGlobal = this->asImp_().problem().gridGeometry().elementMapper().index(this->element()); | |
| 123 | if (partialReassembler | ||
| 124 |
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11028415 | && partialReassembler->elementColor(eIdxGlobal) == EntityColor::green) |
| 125 | { | ||
| 126 | 101622 | const auto residual = this->asImp_().evalLocalResidual(); // forward to the internal implementation | |
| 127 | |||
| 128 |
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508110 | for (const auto& localDof : localDofs(this->fvGeometry())) |
| 129 | 812976 | res[localDof.dofIndex()] += residual[localDof.index()]; | |
| 130 | |||
| 131 | // assemble the coupling blocks for coupled models (does nothing if not coupled) | ||
| 132 | maybeAssembleCouplingBlocks(residual); | ||
| 133 | } | ||
| 134 |
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15409580 | else if (!this->elementIsGhost()) |
| 135 | { | ||
| 136 | 15340076 | const auto residual = this->asImp_().assembleJacobianAndResidualImpl(jac, gridVariables, partialReassembler); // forward to the internal implementation | |
| 137 | |||
| 138 |
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65681704 | for (const auto& localDof : localDofs(this->fvGeometry())) |
| 139 | 84390288 | res[localDof.dofIndex()] += residual[localDof.index()]; | |
| 140 | |||
| 141 | // assemble the coupling blocks for coupled models (does nothing if not coupled) | ||
| 142 | 4327926 | maybeAssembleCouplingBlocks(residual); | |
| 143 | } | ||
| 144 | else | ||
| 145 | { | ||
| 146 | // Treatment of ghost elements | ||
| 147 | 69504 | assert(this->elementIsGhost()); | |
| 148 | |||
| 149 | // handle dofs per codimension | ||
| 150 | 69504 | const auto& gridGeometry = this->asImp_().problem().gridGeometry(); | |
| 151 | 419904 | Dune::Hybrid::forEach(std::make_integer_sequence<int, dim>{}, [&](auto d) | |
| 152 | { | ||
| 153 | 139008 | constexpr int codim = dim - d; | |
| 154 | 139008 | const auto& localCoeffs = gridGeometry.feCache().get(this->element().type()).localCoefficients(); | |
| 155 |
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828060 | for (int idx = 0; idx < localCoeffs.size(); ++idx) |
| 156 | { | ||
| 157 |
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554280 | const auto& localKey = localCoeffs.localKey(idx); |
| 158 | |||
| 159 | // skip if we are not handling this codim right now | ||
| 160 |
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554280 | if (localKey.codim() != codim) |
| 161 | 414792 | continue; | |
| 162 | |||
| 163 | // do not change the non-ghost entities | ||
| 164 |
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277140 | auto entity = this->element().template subEntity<codim>(localKey.subEntity()); |
| 165 |
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282900 | if (entity.partitionType() == Dune::InteriorEntity || entity.partitionType() == Dune::BorderEntity) |
| 166 | 2880 | continue; | |
| 167 | |||
| 168 | // WARNING: this only works if the mapping from codim+subEntity to | ||
| 169 | // global dofIndex is unique (on dof per entity of this codim). | ||
| 170 | // For more general mappings, we should use a proper local-global mapping here. | ||
| 171 | // For example through dune-functions. | ||
| 172 |
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139488 | const auto dofIndex = gridGeometry.dofMapper().index(entity); |
| 173 | |||
| 174 | // this might be a vector-valued dof | ||
| 175 | using BlockType = typename JacobianMatrix::block_type; | ||
| 176 |
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139488 | BlockType &J = jac[dofIndex][dofIndex]; |
| 177 |
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478584 | for (int j = 0; j < BlockType::rows; ++j) |
| 178 | 339096 | J[j][j] = 1.0; | |
| 179 | |||
| 180 | // set residual for the ghost dof | ||
| 181 |
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271776 | res[dofIndex] = 0; |
| 182 | } | ||
| 183 | }); | ||
| 184 | } | ||
| 185 | |||
| 186 | 18608676 | auto applyDirichlet = [&] (const auto& scvOrLocalDofI, | |
| 187 | const auto& dirichletValues, | ||
| 188 | const auto eqIdx, | ||
| 189 | const auto pvIdx) | ||
| 190 | { | ||
| 191 | 1548737 | res[scvOrLocalDofI.dofIndex()][eqIdx] = this->curElemVolVars()[scvOrLocalDofI].priVars()[pvIdx] - dirichletValues[pvIdx]; | |
| 192 | |||
| 193 | 1548737 | auto& row = jac[scvOrLocalDofI.dofIndex()]; | |
| 194 |
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13091637 | for (auto col = row.begin(); col != row.end(); ++col) |
| 195 | 21678045 | row[col.index()][eqIdx] = 0.0; | |
| 196 | |||
| 197 | 1548737 | jac[scvOrLocalDofI.dofIndex()][scvOrLocalDofI.dofIndex()][eqIdx][pvIdx] = 1.0; | |
| 198 | |||
| 199 | // if a periodic dof has Dirichlet values also apply the same Dirichlet values to the other dof | ||
| 200 | 2400293 | if (this->asImp_().problem().gridGeometry().dofOnPeriodicBoundary(scvOrLocalDofI.dofIndex())) | |
| 201 | { | ||
| 202 | 4 | const auto periodicDof = this->asImp_().problem().gridGeometry().periodicallyMappedDof(scvOrLocalDofI.dofIndex()); | |
| 203 | 4 | res[periodicDof][eqIdx] = this->asImp_().curSol()[periodicDof][pvIdx] - dirichletValues[pvIdx]; | |
| 204 | |||
| 205 | 4 | auto& rowP = jac[periodicDof]; | |
| 206 |
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30 | for (auto col = rowP.begin(); col != rowP.end(); ++col) |
| 207 | 26 | rowP[col.index()][eqIdx] = 0.0; | |
| 208 | |||
| 209 | 4 | rowP[periodicDof][eqIdx][pvIdx] = 1.0; | |
| 210 | } | ||
| 211 | }; | ||
| 212 | |||
| 213 | 31022404 | this->asImp_().enforceDirichletConstraints(applyDirichlet); | |
| 214 | 15511202 | } | |
| 215 | |||
| 216 | /*! | ||
| 217 | * \brief Computes the derivatives with respect to the given element and adds them | ||
| 218 | * to the global matrix. | ||
| 219 | */ | ||
| 220 | 1136 | void assembleJacobian(JacobianMatrix& jac, GridVariables& gridVariables) | |
| 221 | { | ||
| 222 | 1136 | this->asImp_().bindLocalViews(); | |
| 223 | 1136 | this->asImp_().assembleJacobianAndResidualImpl(jac, gridVariables); // forward to the internal implementation | |
| 224 | |||
| 225 | 1816 | auto applyDirichlet = [&] (const auto& scvOrLocalDofI, | |
| 226 | const auto& dirichletValues, | ||
| 227 | const auto eqIdx, | ||
| 228 | const auto pvIdx) | ||
| 229 | { | ||
| 230 | 336 | auto& row = jac[scvOrLocalDofI.dofIndex()]; | |
| 231 |
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2416 | for (auto col = row.begin(); col != row.end(); ++col) |
| 232 | 2080 | row[col.index()][eqIdx] = 0.0; | |
| 233 | |||
| 234 | 336 | jac[scvOrLocalDofI.dofIndex()][scvOrLocalDofI.dofIndex()][eqIdx][pvIdx] = 1.0; | |
| 235 | }; | ||
| 236 | |||
| 237 | 2272 | this->asImp_().enforceDirichletConstraints(applyDirichlet); | |
| 238 | 1136 | } | |
| 239 | |||
| 240 | /*! | ||
| 241 | * \brief Assemble the residual only | ||
| 242 | */ | ||
| 243 | template <class ResidualVector> | ||
| 244 | 4044075 | void assembleResidual(ResidualVector& res) | |
| 245 | { | ||
| 246 | 4044075 | this->asImp_().bindLocalViews(); | |
| 247 | 4044075 | const auto residual = this->evalLocalResidual(); | |
| 248 | |||
| 249 |
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19164069 | for (const auto& localDof : localDofs(this->fvGeometry())) |
| 250 | 27159964 | res[localDof.dofIndex()] += residual[localDof.index()]; | |
| 251 | |||
| 252 | 4606799 | auto applyDirichlet = [&] (const auto& scvOrLocalDofI, | |
| 253 | const auto& dirichletValues, | ||
| 254 | const auto eqIdx, | ||
| 255 | const auto pvIdx) | ||
| 256 | { | ||
| 257 | 562724 | res[scvOrLocalDofI.dofIndex()][eqIdx] = this->curElemVolVars()[scvOrLocalDofI].priVars()[pvIdx] - dirichletValues[pvIdx]; | |
| 258 | }; | ||
| 259 | |||
| 260 | 8088150 | this->asImp_().enforceDirichletConstraints(applyDirichlet); | |
| 261 | 4044075 | } | |
| 262 | |||
| 263 | //! Enforce Dirichlet constraints | ||
| 264 | template<typename ApplyFunction> | ||
| 265 | 16063932 | void enforceDirichletConstraints(const ApplyFunction& applyDirichlet) | |
| 266 | { | ||
| 267 | // enforce Dirichlet boundary conditions | ||
| 268 | 16063932 | this->asImp_().evalDirichletBoundaries(applyDirichlet); | |
| 269 | // take care of internal Dirichlet constraints (if enabled) | ||
| 270 | 16057532 | this->asImp_().enforceInternalDirichletConstraints(applyDirichlet); | |
| 271 | } | ||
| 272 | |||
| 273 | /*! | ||
| 274 | * \brief Evaluates Dirichlet boundaries | ||
| 275 | */ | ||
| 276 | template< typename ApplyDirichletFunctionType > | ||
| 277 | 32110380 | void evalDirichletBoundaries(ApplyDirichletFunctionType applyDirichlet) | |
| 278 | { | ||
| 279 | // enforce Dirichlet boundaries by overwriting partial derivatives with 1 or 0 | ||
| 280 | // and set the residual to (privar - dirichletvalue) | ||
| 281 |
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32110380 | if (this->elemBcTypes().hasDirichlet()) |
| 282 | { | ||
| 283 |
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5534148 | for (const auto& scvI : scvs(this->fvGeometry())) |
| 284 | { | ||
| 285 |
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4313318 | const auto bcTypes = this->elemBcTypes().get(this->fvGeometry(), scvI); |
| 286 |
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4313318 | if (bcTypes.hasDirichlet()) |
| 287 | { | ||
| 288 |
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2079046 | const auto dirichletValues = this->asImp_().problem().dirichlet(this->element(), scvI); |
| 289 | |||
| 290 | // set the Dirichlet conditions in residual and jacobian | ||
| 291 |
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6345596 | for (int eqIdx = 0; eqIdx < numEq; ++eqIdx) |
| 292 | { | ||
| 293 |
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4266550 | if (bcTypes.isDirichlet(eqIdx)) |
| 294 | { | ||
| 295 |
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4217642 | const auto pvIdx = bcTypes.eqToDirichletIndex(eqIdx); |
| 296 |
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4217642 | assert(0 <= pvIdx && pvIdx < numEq); |
| 297 |
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4217642 | applyDirichlet(scvI, dirichletValues, eqIdx, pvIdx); |
| 298 | } | ||
| 299 | } | ||
| 300 | } | ||
| 301 | } | ||
| 302 | } | ||
| 303 | 32110380 | } | |
| 304 | |||
| 305 | /*! | ||
| 306 | * \brief Update the coupling context for coupled models. | ||
| 307 | * \note This does nothing per default (not a coupled model). | ||
| 308 | */ | ||
| 309 | template<class... Args> | ||
| 310 | void maybeUpdateCouplingContext(Args&&...) {} | ||
| 311 | |||
| 312 | /*! | ||
| 313 | * \brief Update the additional domain derivatives for coupled models. | ||
| 314 | * \note This does nothing per default (not a coupled model). | ||
| 315 | */ | ||
| 316 | template<class... Args> | ||
| 317 | void maybeEvalAdditionalDomainDerivatives(Args&&...) {} | ||
| 318 | |||
| 319 | }; | ||
| 320 | |||
| 321 | /*! | ||
| 322 | * \ingroup Assembly | ||
| 323 | * \ingroup CVFEDiscretization | ||
| 324 | * \brief An assembler for Jacobian and residual contribution per element (CVFE methods) | ||
| 325 | * \tparam TypeTag The TypeTag | ||
| 326 | * \tparam diffMethod The differentiation method to residual compute derivatives | ||
| 327 | * \tparam implicit Specifies whether the time discretization is implicit or not not (i.e. explicit) | ||
| 328 | * \tparam Implementation via CRTP | ||
| 329 | */ | ||
| 330 | template<class TypeTag, class Assembler, DiffMethod diffMethod = DiffMethod::numeric, bool implicit = true, class Implementation = void> | ||
| 331 | class CVFELocalAssembler; | ||
| 332 | |||
| 333 | /*! | ||
| 334 | * \ingroup Assembly | ||
| 335 | * \ingroup CVFEDiscretization | ||
| 336 | * \brief Control volume finite element local assembler using numeric differentiation and implicit time discretization | ||
| 337 | */ | ||
| 338 | template<class TypeTag, class Assembler, class Implementation> | ||
| 339 |
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17018494 | class CVFELocalAssembler<TypeTag, Assembler, DiffMethod::numeric, /*implicit=*/true, Implementation> |
| 340 | : public CVFELocalAssemblerBase<TypeTag, Assembler, | ||
| 341 | Detail::CVFE::Impl<Implementation, CVFELocalAssembler<TypeTag, Assembler, DiffMethod::numeric, true, Implementation>>, | ||
| 342 | true> | ||
| 343 | { | ||
| 344 | using ThisType = CVFELocalAssembler<TypeTag, Assembler, DiffMethod::numeric, true, Implementation>; | ||
| 345 | using ParentType = CVFELocalAssemblerBase<TypeTag, Assembler, Detail::CVFE::Impl<Implementation, ThisType>, true>; | ||
| 346 | using Scalar = GetPropType<TypeTag, Properties::Scalar>; | ||
| 347 | using GridVariables = GetPropType<TypeTag, Properties::GridVariables>; | ||
| 348 | using GridVolumeVariables = GetPropType<TypeTag, Properties::GridVolumeVariables>; | ||
| 349 | using ElementVolumeVariables = typename GridVariables::GridVolumeVariables::LocalView; | ||
| 350 | using VolumeVariables = GetPropType<TypeTag, Properties::VolumeVariables>; | ||
| 351 | using JacobianMatrix = GetPropType<TypeTag, Properties::JacobianMatrix>; | ||
| 352 | |||
| 353 | static constexpr int numEq = GetPropType<TypeTag, Properties::ModelTraits>::numEq(); | ||
| 354 | static constexpr int dim = GetPropType<TypeTag, Properties::GridGeometry>::GridView::dimension; | ||
| 355 | |||
| 356 | static constexpr bool enableGridFluxVarsCache | ||
| 357 | = GridVariables::GridFluxVariablesCache::cachingEnabled; | ||
| 358 | static constexpr bool solutionDependentFluxVarsCache | ||
| 359 | = GridVariables::GridFluxVariablesCache::FluxVariablesCache::isSolDependent; | ||
| 360 | |||
| 361 | public: | ||
| 362 | |||
| 363 | using LocalResidual = typename ParentType::LocalResidual; | ||
| 364 | using ElementResidualVector = typename LocalResidual::ElementResidualVector; | ||
| 365 |
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13783476 | using ParentType::ParentType; |
| 366 | |||
| 367 | /*! | ||
| 368 | * \brief Computes the derivatives with respect to the given element and adds them | ||
| 369 | * to the global matrix. | ||
| 370 | * | ||
| 371 | * \return The element residual at the current solution. | ||
| 372 | */ | ||
| 373 | template <class PartialReassembler = DefaultPartialReassembler> | ||
| 374 | 11106086 | ElementResidualVector assembleJacobianAndResidualImpl(JacobianMatrix& A, GridVariables& gridVariables, | |
| 375 | const PartialReassembler* partialReassembler = nullptr) | ||
| 376 | { | ||
| 377 | // get some aliases for convenience | ||
| 378 | 11106086 | const auto& element = this->element(); | |
| 379 | 11106086 | const auto& fvGeometry = this->fvGeometry(); | |
| 380 | 11106086 | const auto& curSol = this->asImp_().curSol(); | |
| 381 | |||
| 382 | 11106086 | auto&& curElemVolVars = this->curElemVolVars(); | |
| 383 | 11106086 | auto&& elemFluxVarsCache = this->elemFluxVarsCache(); | |
| 384 | |||
| 385 | // get the vector of the actual element residuals | ||
| 386 | 11106086 | const auto origResiduals = this->evalLocalResidual(); | |
| 387 | |||
| 388 | ////////////////////////////////////////////////////////////////////////////////////////////////// | ||
| 389 | // // | ||
| 390 | // Calculate derivatives of all dofs in stencil with respect to the dofs in the element. In the // | ||
| 391 | // neighboring elements we do so by computing the derivatives of the fluxes which depend on the // | ||
| 392 | // actual element. In the actual element we evaluate the derivative of the entire residual. // | ||
| 393 | // // | ||
| 394 | ////////////////////////////////////////////////////////////////////////////////////////////////// | ||
| 395 | |||
| 396 | // if all volvars in the stencil have to be updated or if it's enough to only update the | ||
| 397 | // volVars for the scv whose associated dof has been deflected | ||
| 398 |
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11106086 | static const bool updateAllVolVars = getParamFromGroup<bool>( |
| 399 |
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452 | this->asImp_().problem().paramGroup(), "Assembly.BoxVolVarsDependOnAllElementDofs", false |
| 400 | ); | ||
| 401 | |||
| 402 | // create the element solution | ||
| 403 | 12820952 | auto elemSol = elementSolution(element, curSol, fvGeometry.gridGeometry()); | |
| 404 | |||
| 405 | // create the vector storing the partial derivatives | ||
| 406 | 11106086 | ElementResidualVector partialDerivs(Detail::LocalDofs::numLocalDofs(fvGeometry)); | |
| 407 | |||
| 408 | 11163446 | auto deflectionHelper = Detail::CVFE::VolVarsDeflectionHelper( | |
| 409 | 11106086 | gridVariables.curGridVolVars(), | |
| 410 | curElemVolVars, | ||
| 411 | fvGeometry, | ||
| 412 | updateAllVolVars | ||
| 413 | ); | ||
| 414 | |||
| 415 | 87315754 | auto assembleDerivative = [&, this](const auto& localDof) | |
| 416 | { | ||
| 417 | // dof index and corresponding actual pri vars | ||
| 418 | 38104834 | const auto dofIdx = localDof.dofIndex(); | |
| 419 | 38104834 | const auto localIdx = localDof.index(); | |
| 420 | 38104834 | deflectionHelper.setCurrent(localDof); | |
| 421 | |||
| 422 | // calculate derivatives w.r.t to the privars at the dof at hand | ||
| 423 |
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123152278 | for (int pvIdx = 0; pvIdx < numEq; pvIdx++) |
| 424 | { | ||
| 425 | 85047444 | partialDerivs = 0.0; | |
| 426 | |||
| 427 | 171440808 | auto evalResiduals = [&](Scalar priVar) | |
| 428 | { | ||
| 429 | // update the volume variables and compute element residual | ||
| 430 | 86393364 | elemSol[localIdx][pvIdx] = priVar; | |
| 431 | 86393364 | deflectionHelper.deflect(elemSol, localDof, this->asImp_().problem()); | |
| 432 | if constexpr (solutionDependentFluxVarsCache) | ||
| 433 | { | ||
| 434 | 3127718 | elemFluxVarsCache.update(element, fvGeometry, curElemVolVars); | |
| 435 | if constexpr (enableGridFluxVarsCache) | ||
| 436 | gridVariables.gridFluxVarsCache().updateElement(element, fvGeometry, curElemVolVars); | ||
| 437 | } | ||
| 438 | 86393364 | this->asImp_().maybeUpdateCouplingContext(localDof, elemSol, pvIdx); | |
| 439 | 86393364 | return this->evalLocalResidual(); | |
| 440 | }; | ||
| 441 | |||
| 442 | // derive the residuals numerically | ||
| 443 |
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85047444 | static const NumericEpsilon<Scalar, numEq> eps_{this->asImp_().problem().paramGroup()}; |
| 444 |
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85047444 | static const int numDiffMethod = getParamFromGroup<int>(this->asImp_().problem().paramGroup(), "Assembly.NumericDifferenceMethod"); |
| 445 |
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85047444 | NumericDifferentiation::partialDerivative(evalResiduals, elemSol[localIdx][pvIdx], partialDerivs, origResiduals, |
| 446 | 85047444 | eps_(elemSol[localIdx][pvIdx], pvIdx), numDiffMethod); | |
| 447 | |||
| 448 | // update the global stiffness matrix with the current partial derivatives | ||
| 449 |
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400608950 | for (const auto& localDofJ : localDofs(fvGeometry)) |
| 450 | { | ||
| 451 | // don't add derivatives for green dofs | ||
| 452 | 279984942 | if (!partialReassembler | |
| 453 |
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275740942 | || partialReassembler->dofColor(localDofJ.dofIndex()) != EntityColor::green) |
| 454 | { | ||
| 455 |
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1136339424 | for (int eqIdx = 0; eqIdx < numEq; eqIdx++) |
| 456 | { | ||
| 457 | // A[i][col][eqIdx][pvIdx] is the rate of change of | ||
| 458 | // the residual of equation 'eqIdx' at dof 'i' | ||
| 459 | // depending on the primary variable 'pvIdx' at dof | ||
| 460 | // 'col'. | ||
| 461 |
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821150390 | A[localDofJ.dofIndex()][dofIdx][eqIdx][pvIdx] += partialDerivs[localDofJ.index()][eqIdx]; |
| 462 | } | ||
| 463 | } | ||
| 464 | } | ||
| 465 | |||
| 466 | // restore the original state of the scv's volume variables | ||
| 467 | 85047444 | deflectionHelper.restore(localDof); | |
| 468 | |||
| 469 | // restore the original element solution | ||
| 470 |
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85047444 | elemSol[localIdx][pvIdx] = curSol[localDof.dofIndex()][pvIdx]; |
| 471 |
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85103684 | this->asImp_().maybeUpdateCouplingContext(localDof, elemSol, pvIdx); |
| 472 | } | ||
| 473 | }; | ||
| 474 | |||
| 475 | // calculation of the derivatives | ||
| 476 |
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49234856 | for (const auto& localDof : localDofs(fvGeometry)) |
| 477 | 38128770 | assembleDerivative(localDof); | |
| 478 | |||
| 479 | // restore original state of the flux vars cache in case of global caching. | ||
| 480 | // In the case of local caching this is obsolete because the elemFluxVarsCache used here goes out of scope after this. | ||
| 481 | if constexpr (enableGridFluxVarsCache) | ||
| 482 | 3850564 | gridVariables.gridFluxVarsCache().updateElement(element, fvGeometry, curElemVolVars); | |
| 483 | |||
| 484 | // evaluate additional derivatives that might arise from the coupling (no-op if not coupled) | ||
| 485 | 9737059 | this->asImp_().maybeEvalAdditionalDomainDerivatives(origResiduals, A, gridVariables); | |
| 486 | |||
| 487 | 11106086 | return origResiduals; | |
| 488 | } | ||
| 489 | |||
| 490 | }; // implicit CVFEAssembler with numeric Jacobian | ||
| 491 | |||
| 492 | /*! | ||
| 493 | * \ingroup Assembly | ||
| 494 | * \ingroup CVFEDiscretization | ||
| 495 | * \brief Control volume finite element local assembler using numeric differentiation and explicit time discretization | ||
| 496 | */ | ||
| 497 | template<class TypeTag, class Assembler, class Implementation> | ||
| 498 | 1014000 | class CVFELocalAssembler<TypeTag, Assembler, DiffMethod::numeric, /*implicit=*/false, Implementation> | |
| 499 | : public CVFELocalAssemblerBase<TypeTag, Assembler, | ||
| 500 | Detail::CVFE::Impl<Implementation, CVFELocalAssembler<TypeTag, Assembler, DiffMethod::numeric, false, Implementation>>, | ||
| 501 | false> | ||
| 502 | { | ||
| 503 | using ThisType = CVFELocalAssembler<TypeTag, Assembler, DiffMethod::numeric, false, Implementation>; | ||
| 504 | using ParentType = CVFELocalAssemblerBase<TypeTag, Assembler, Detail::CVFE::Impl<Implementation, ThisType>, false>; | ||
| 505 | using Scalar = GetPropType<TypeTag, Properties::Scalar>; | ||
| 506 | using GridVariables = GetPropType<TypeTag, Properties::GridVariables>; | ||
| 507 | using VolumeVariables = GetPropType<TypeTag, Properties::VolumeVariables>; | ||
| 508 | using JacobianMatrix = GetPropType<TypeTag, Properties::JacobianMatrix>; | ||
| 509 | |||
| 510 | static constexpr int numEq = GetPropType<TypeTag, Properties::ModelTraits>::numEq(); | ||
| 511 | static constexpr int dim = GetPropType<TypeTag, Properties::GridGeometry>::GridView::dimension; | ||
| 512 | |||
| 513 | public: | ||
| 514 | |||
| 515 | using LocalResidual = typename ParentType::LocalResidual; | ||
| 516 | using ElementResidualVector = typename LocalResidual::ElementResidualVector; | ||
| 517 |
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1014000 | using ParentType::ParentType; |
| 518 | |||
| 519 | /*! | ||
| 520 | * \brief Computes the derivatives with respect to the given element and adds them | ||
| 521 | * to the global matrix. | ||
| 522 | * | ||
| 523 | * \return The element residual at the current solution. | ||
| 524 | */ | ||
| 525 | template <class PartialReassembler = DefaultPartialReassembler> | ||
| 526 | 1014000 | ElementResidualVector assembleJacobianAndResidualImpl(JacobianMatrix& A, GridVariables& gridVariables, | |
| 527 | const PartialReassembler* partialReassembler = nullptr) | ||
| 528 | { | ||
| 529 | 1014000 | if (partialReassembler) | |
| 530 | ✗ | DUNE_THROW(Dune::NotImplemented, "partial reassembly for explicit time discretization"); | |
| 531 | |||
| 532 | // get some aliases for convenience | ||
| 533 | 1014000 | const auto& element = this->element(); | |
| 534 | 1014000 | const auto& fvGeometry = this->fvGeometry(); | |
| 535 | 1014000 | const auto& curSol = this->asImp_().curSol(); | |
| 536 | 1014000 | auto&& curElemVolVars = this->curElemVolVars(); | |
| 537 | |||
| 538 | // get the vecor of the actual element residuals | ||
| 539 | 1014000 | const auto origResiduals = this->evalLocalResidual(); | |
| 540 | 1014000 | const auto origStorageResiduals = this->evalLocalStorageResidual(); | |
| 541 | |||
| 542 | ////////////////////////////////////////////////////////////////////////////////////////////////// | ||
| 543 | // // | ||
| 544 | // Calculate derivatives of all dofs in stencil with respect to the dofs in the element. In the // | ||
| 545 | // neighboring elements we do so by computing the derivatives of the fluxes which depend on the // | ||
| 546 | // actual element. In the actual element we evaluate the derivative of the entire residual. // | ||
| 547 | // // | ||
| 548 | ////////////////////////////////////////////////////////////////////////////////////////////////// | ||
| 549 | |||
| 550 | // create the element solution | ||
| 551 | 2028000 | auto elemSol = elementSolution(element, curSol, fvGeometry.gridGeometry()); | |
| 552 | |||
| 553 | // create the vector storing the partial derivatives | ||
| 554 | 2028000 | ElementResidualVector partialDerivs(Detail::LocalDofs::numLocalDofs(fvGeometry)); | |
| 555 | |||
| 556 | // calculation of the derivatives | ||
| 557 | 4006000 | for (const auto& scv : scvs(fvGeometry)) | |
| 558 | { | ||
| 559 | // dof index and corresponding actual pri vars | ||
| 560 | 2992000 | const auto localIdx = scv.localDofIndex(); | |
| 561 | 2992000 | const auto dofIdx = scv.dofIndex(); | |
| 562 | 2992000 | auto& curVolVars = this->getVolVarAccess(gridVariables.curGridVolVars(), curElemVolVars, scv); | |
| 563 | 2992000 | const VolumeVariables origVolVars(curVolVars); | |
| 564 | |||
| 565 | // calculate derivatives w.r.t to the privars at the dof at hand | ||
| 566 | 5984000 | for (int pvIdx = 0; pvIdx < numEq; pvIdx++) | |
| 567 | { | ||
| 568 | 2992000 | partialDerivs = 0.0; | |
| 569 | |||
| 570 | 5984000 | auto evalStorage = [&](Scalar priVar) | |
| 571 | { | ||
| 572 | // auto partialDerivsTmp = partialDerivs; | ||
| 573 | 2992000 | elemSol[localIdx][pvIdx] = priVar; | |
| 574 | 2992000 | curVolVars.update(elemSol, this->asImp_().problem(), element, scv); | |
| 575 | 2992000 | return this->evalLocalStorageResidual(); | |
| 576 | }; | ||
| 577 | |||
| 578 | // derive the residuals numerically | ||
| 579 | 2992000 | static const NumericEpsilon<Scalar, numEq> eps_{this->asImp_().problem().paramGroup()}; | |
| 580 | 2992000 | static const int numDiffMethod = getParamFromGroup<int>(this->asImp_().problem().paramGroup(), "Assembly.NumericDifferenceMethod"); | |
| 581 | 2992000 | NumericDifferentiation::partialDerivative(evalStorage, elemSol[localIdx][pvIdx], partialDerivs, origStorageResiduals, | |
| 582 | 2992000 | eps_(elemSol[localIdx][pvIdx], pvIdx), numDiffMethod); | |
| 583 | |||
| 584 | // update the global stiffness matrix with the current partial derivatives | ||
| 585 | 5984000 | for (int eqIdx = 0; eqIdx < numEq; eqIdx++) | |
| 586 | { | ||
| 587 | // A[i][col][eqIdx][pvIdx] is the rate of change of | ||
| 588 | // the residual of equation 'eqIdx' at dof 'i' | ||
| 589 | // depending on the primary variable 'pvIdx' at dof | ||
| 590 | // 'col'. | ||
| 591 | 2992000 | A[dofIdx][dofIdx][eqIdx][pvIdx] += partialDerivs[localIdx][eqIdx]; | |
| 592 | } | ||
| 593 | |||
| 594 | // restore the original state of the scv's volume variables | ||
| 595 | 2992000 | curVolVars = origVolVars; | |
| 596 | |||
| 597 | // restore the original element solution | ||
| 598 | 2992000 | elemSol[localIdx][pvIdx] = curSol[dofIdx][pvIdx]; | |
| 599 | // TODO additional dof dependencies | ||
| 600 | } | ||
| 601 | } | ||
| 602 | |||
| 603 | 1014000 | return origResiduals; | |
| 604 | } | ||
| 605 | }; // explicit CVFEAssembler with numeric Jacobian | ||
| 606 | |||
| 607 | /*! | ||
| 608 | * \ingroup Assembly | ||
| 609 | * \ingroup CVFEDiscretization | ||
| 610 | * \brief Control volume finite element local assembler using analytic differentiation and implicit time discretization | ||
| 611 | */ | ||
| 612 | template<class TypeTag, class Assembler, class Implementation> | ||
| 613 |
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1259597 | class CVFELocalAssembler<TypeTag, Assembler, DiffMethod::analytic, /*implicit=*/true, Implementation> |
| 614 | : public CVFELocalAssemblerBase<TypeTag, Assembler, | ||
| 615 | Detail::CVFE::Impl<Implementation, CVFELocalAssembler<TypeTag, Assembler, DiffMethod::analytic, true, Implementation>>, | ||
| 616 | true> | ||
| 617 | { | ||
| 618 | using ThisType = CVFELocalAssembler<TypeTag, Assembler, DiffMethod::analytic, true, Implementation>; | ||
| 619 | using ParentType = CVFELocalAssemblerBase<TypeTag, Assembler, Detail::CVFE::Impl<Implementation, ThisType>, true>; | ||
| 620 | using GridVariables = GetPropType<TypeTag, Properties::GridVariables>; | ||
| 621 | using JacobianMatrix = GetPropType<TypeTag, Properties::JacobianMatrix>; | ||
| 622 | |||
| 623 | public: | ||
| 624 | |||
| 625 | using LocalResidual = typename ParentType::LocalResidual; | ||
| 626 | using ElementResidualVector = typename LocalResidual::ElementResidualVector; | ||
| 627 |
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754597 | using ParentType::ParentType; |
| 628 | |||
| 629 | /*! | ||
| 630 | * \brief Computes the derivatives with respect to the given element and adds them | ||
| 631 | * to the global matrix. | ||
| 632 | * | ||
| 633 | * \return The element residual at the current solution. | ||
| 634 | */ | ||
| 635 | template <class PartialReassembler = DefaultPartialReassembler> | ||
| 636 | 253869 | ElementResidualVector assembleJacobianAndResidualImpl(JacobianMatrix& A, GridVariables& gridVariables, | |
| 637 | const PartialReassembler* partialReassembler = nullptr) | ||
| 638 | { | ||
| 639 |
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253869 | if (partialReassembler) |
| 640 | ✗ | DUNE_THROW(Dune::NotImplemented, "partial reassembly for analytic differentiation"); | |
| 641 | |||
| 642 | // get some aliases for convenience | ||
| 643 | 253869 | const auto& element = this->element(); | |
| 644 | 253869 | const auto& fvGeometry = this->fvGeometry(); | |
| 645 | 253869 | const auto& problem = this->asImp_().problem(); | |
| 646 | 253869 | const auto& curElemVolVars = this->curElemVolVars(); | |
| 647 | 253869 | const auto& elemFluxVarsCache = this->elemFluxVarsCache(); | |
| 648 | |||
| 649 | // get the vecor of the actual element residuals | ||
| 650 | 253869 | const auto origResiduals = this->evalLocalResidual(); | |
| 651 | |||
| 652 | ////////////////////////////////////////////////////////////////////////////////////////////////// | ||
| 653 | // // | ||
| 654 | // Calculate derivatives of all dofs in stencil with respect to the dofs in the element. In the // | ||
| 655 | // neighboring elements we do so by computing the derivatives of the fluxes which depend on the // | ||
| 656 | // actual element. In the actual element we evaluate the derivative of the entire residual. // | ||
| 657 | // // | ||
| 658 | ////////////////////////////////////////////////////////////////////////////////////////////////// | ||
| 659 | |||
| 660 | // calculation of the source and storage derivatives | ||
| 661 |
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999135 | for (const auto& scv : scvs(fvGeometry)) |
| 662 | { | ||
| 663 | // dof index and corresponding actual pri vars | ||
| 664 |
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745266 | const auto dofIdx = scv.dofIndex(); |
| 665 | 745266 | const auto& volVars = curElemVolVars[scv]; | |
| 666 | |||
| 667 | // derivative of this scv residual w.r.t the d.o.f. of the same scv (because of mass lumping) | ||
| 668 | // only if the problem is instationary we add derivative of storage term | ||
| 669 | // TODO if e.g. porosity depends on all dofs in the element, we would have off-diagonal matrix entries!? | ||
| 670 |
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745266 | if (!this->assembler().isStationaryProblem()) |
| 671 | 611000 | this->localResidual().addStorageDerivatives(A[dofIdx][dofIdx], | |
| 672 | problem, | ||
| 673 | element, | ||
| 674 | fvGeometry, | ||
| 675 | volVars, | ||
| 676 | scv); | ||
| 677 | |||
| 678 | // derivative of this scv residual w.r.t the d.o.f. of the same scv (because of mass lumping) | ||
| 679 | // add source term derivatives | ||
| 680 | 745266 | this->localResidual().addSourceDerivatives(A[dofIdx][dofIdx], | |
| 681 | problem, | ||
| 682 | element, | ||
| 683 | fvGeometry, | ||
| 684 | volVars, | ||
| 685 | scv); | ||
| 686 | } | ||
| 687 | |||
| 688 | // localJacobian[scvIdx][otherScvIdx][eqIdx][priVarIdx] of the fluxes | ||
| 689 |
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890388 | for (const auto& scvf : scvfs(fvGeometry)) |
| 690 | { | ||
| 691 |
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635914 | if (!scvf.boundary()) |
| 692 | { | ||
| 693 | // add flux term derivatives | ||
| 694 | 610161 | this->localResidual().addFluxDerivatives(A, | |
| 695 | problem, | ||
| 696 | element, | ||
| 697 | fvGeometry, | ||
| 698 | curElemVolVars, | ||
| 699 | elemFluxVarsCache, | ||
| 700 | scvf); | ||
| 701 | } | ||
| 702 | |||
| 703 | // the boundary gets special treatment to simplify | ||
| 704 | // for the user | ||
| 705 | else | ||
| 706 | { | ||
| 707 | 26358 | const auto& insideScv = fvGeometry.scv(scvf.insideScvIdx()); | |
| 708 | 26358 | if (this->elemBcTypes().get(fvGeometry, insideScv).hasNeumann()) | |
| 709 | { | ||
| 710 | // add flux term derivatives | ||
| 711 | 26358 | this->localResidual().addRobinFluxDerivatives(A[insideScv.dofIndex()], | |
| 712 | problem, | ||
| 713 | element, | ||
| 714 | fvGeometry, | ||
| 715 | curElemVolVars, | ||
| 716 | elemFluxVarsCache, | ||
| 717 | scvf); | ||
| 718 | } | ||
| 719 | } | ||
| 720 | } | ||
| 721 | |||
| 722 | 253869 | return origResiduals; | |
| 723 | } | ||
| 724 | |||
| 725 | }; // implicit CVFEAssembler with analytic Jacobian | ||
| 726 | |||
| 727 | /*! | ||
| 728 | * \ingroup Assembly | ||
| 729 | * \ingroup CVFEDiscretization | ||
| 730 | * \brief Control volume finite element local assembler using analytic differentiation and explicit time discretization | ||
| 731 | */ | ||
| 732 | template<class TypeTag, class Assembler, class Implementation> | ||
| 733 |
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1010000 | class CVFELocalAssembler<TypeTag, Assembler, DiffMethod::analytic, /*implicit=*/false, Implementation> |
| 734 | : public CVFELocalAssemblerBase<TypeTag, Assembler, | ||
| 735 | Detail::CVFE::Impl<Implementation, CVFELocalAssembler<TypeTag, Assembler, DiffMethod::analytic, false, Implementation>>, | ||
| 736 | false> | ||
| 737 | { | ||
| 738 | using ThisType = CVFELocalAssembler<TypeTag, Assembler, DiffMethod::analytic, false, Implementation>; | ||
| 739 | using ParentType = CVFELocalAssemblerBase<TypeTag, Assembler, Detail::CVFE::Impl<Implementation, ThisType>, false>; | ||
| 740 | using GridVariables = GetPropType<TypeTag, Properties::GridVariables>; | ||
| 741 | using JacobianMatrix = GetPropType<TypeTag, Properties::JacobianMatrix>; | ||
| 742 | |||
| 743 | public: | ||
| 744 | |||
| 745 | using LocalResidual = typename ParentType::LocalResidual; | ||
| 746 | using ElementResidualVector = typename LocalResidual::ElementResidualVector; | ||
| 747 |
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505000 | using ParentType::ParentType; |
| 748 | |||
| 749 | /*! | ||
| 750 | * \brief Computes the derivatives with respect to the given element and adds them | ||
| 751 | * to the global matrix. | ||
| 752 | * | ||
| 753 | * \return The element residual at the current solution. | ||
| 754 | */ | ||
| 755 | template <class PartialReassembler = DefaultPartialReassembler> | ||
| 756 | 5000 | ElementResidualVector assembleJacobianAndResidualImpl(JacobianMatrix& A, GridVariables& gridVariables, | |
| 757 | const PartialReassembler* partialReassembler = nullptr) | ||
| 758 | { | ||
| 759 |
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5000 | if (partialReassembler) |
| 760 | ✗ | DUNE_THROW(Dune::NotImplemented, "partial reassembly for explicit time discretization"); | |
| 761 | |||
| 762 | // get some aliases for convenience | ||
| 763 | 5000 | const auto& element = this->element(); | |
| 764 | 5000 | const auto& fvGeometry = this->fvGeometry(); | |
| 765 | 5000 | const auto& problem = this->asImp_().problem(); | |
| 766 | 5000 | const auto& curElemVolVars = this->curElemVolVars(); | |
| 767 | |||
| 768 | // get the vecor of the actual element residuals | ||
| 769 | 5000 | const auto origResiduals = this->evalLocalResidual(); | |
| 770 | |||
| 771 | ////////////////////////////////////////////////////////////////////////////////////////////////// | ||
| 772 | // // | ||
| 773 | // Calculate derivatives of all dofs in stencil with respect to the dofs in the element. In the // | ||
| 774 | // neighboring elements we do so by computing the derivatives of the fluxes which depend on the // | ||
| 775 | // actual element. In the actual element we evaluate the derivative of the entire residual. // | ||
| 776 | // // | ||
| 777 | ////////////////////////////////////////////////////////////////////////////////////////////////// | ||
| 778 | |||
| 779 | // calculation of the source and storage derivatives | ||
| 780 |
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25000 | for (const auto& scv : scvs(fvGeometry)) |
| 781 | { | ||
| 782 | // dof index and corresponding actual pri vars | ||
| 783 | 20000 | const auto dofIdx = scv.dofIndex(); | |
| 784 | 20000 | const auto& volVars = curElemVolVars[scv]; | |
| 785 | |||
| 786 | // derivative of this scv residual w.r.t the d.o.f. of the same scv (because of mass lumping) | ||
| 787 | // only if the problem is instationary we add derivative of storage term | ||
| 788 | 20000 | this->localResidual().addStorageDerivatives(A[dofIdx][dofIdx], | |
| 789 | problem, | ||
| 790 | element, | ||
| 791 | fvGeometry, | ||
| 792 | volVars, | ||
| 793 | scv); | ||
| 794 | } | ||
| 795 | |||
| 796 | 5000 | return origResiduals; | |
| 797 | } | ||
| 798 | |||
| 799 | }; // explicit CVFEAssembler with analytic Jacobian | ||
| 800 | |||
| 801 | } // end namespace Dumux | ||
| 802 | |||
| 803 | #endif | ||
| 804 |