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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 "cvfevolvarsdeflectionpolicy_.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 | } // end namespace Detail | ||
| 54 | #endif // DOXYGEN | ||
| 55 | |||
| 56 | /*! | ||
| 57 | * \ingroup Assembly | ||
| 58 | * \ingroup CVFEDiscretization | ||
| 59 | * \brief A base class for all local CVFE assemblers | ||
| 60 | * \tparam TypeTag The TypeTag | ||
| 61 | * \tparam Assembler The assembler type | ||
| 62 | * \tparam Implementation The actual implementation | ||
| 63 | * \tparam implicit Specifies whether the time discretization is implicit or not not (i.e. explicit) | ||
| 64 | */ | ||
| 65 | template<class TypeTag, class Assembler, class Implementation, bool implicit> | ||
| 66 | 20435351 | class CVFELocalAssemblerBase : public FVLocalAssemblerBase<TypeTag, Assembler, Implementation, implicit> | |
| 67 | { | ||
| 68 | using ParentType = FVLocalAssemblerBase<TypeTag, Assembler, Implementation, implicit>; | ||
| 69 | using JacobianMatrix = GetPropType<TypeTag, Properties::JacobianMatrix>; | ||
| 70 | using GridVariables = GetPropType<TypeTag, Properties::GridVariables>; | ||
| 71 | using GridVolumeVariables = typename GridVariables::GridVolumeVariables; | ||
| 72 | using ElementVolumeVariables = typename GridVariables::GridVolumeVariables::LocalView; | ||
| 73 | using VolumeVariables = GetPropType<TypeTag, Properties::VolumeVariables>; | ||
| 74 | using SolutionVector = typename Assembler::SolutionVector; | ||
| 75 | |||
| 76 | static constexpr int numEq = GetPropType<TypeTag, Properties::ModelTraits>::numEq(); | ||
| 77 | static constexpr int dim = GetPropType<TypeTag, Properties::GridGeometry>::GridView::dimension; | ||
| 78 | |||
| 79 | public: | ||
| 80 | |||
| 81 | 16896712 | using ParentType::ParentType; | |
| 82 | |||
| 83 | 13804388 | void bindLocalViews() | |
| 84 | { | ||
| 85 | 13804388 | ParentType::bindLocalViews(); | |
| 86 | 13804388 | this->elemBcTypes().update(this->asImp_().problem(), this->element(), this->fvGeometry()); | |
| 87 | 13804388 | } | |
| 88 | |||
| 89 | |||
| 90 | /*! | ||
| 91 | * \brief Computes the derivatives with respect to the given element and adds them | ||
| 92 | * to the global matrix. The element residual is written into the right hand side. | ||
| 93 | */ | ||
| 94 | template <class ResidualVector, class PartialReassembler = DefaultPartialReassembler, class CouplingFunction = Detail::CVFE::NoOperator> | ||
| 95 | 15578632 | void assembleJacobianAndResidual(JacobianMatrix& jac, ResidualVector& res, GridVariables& gridVariables, | |
| 96 | const PartialReassembler* partialReassembler = nullptr, | ||
| 97 | const CouplingFunction& maybeAssembleCouplingBlocks = {}) | ||
| 98 | { | ||
| 99 | 15578632 | this->asImp_().bindLocalViews(); | |
| 100 | 15578632 | const auto eIdxGlobal = this->asImp_().problem().gridGeometry().elementMapper().index(this->element()); | |
| 101 | if (partialReassembler | ||
| 102 |
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11095845 | && partialReassembler->elementColor(eIdxGlobal) == EntityColor::green) |
| 103 | { | ||
| 104 | 101622 | const auto residual = this->asImp_().evalLocalResidual(); // forward to the internal implementation | |
| 105 | |||
| 106 |
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508110 | for (const auto& localDof : localDofs(this->fvGeometry())) |
| 107 | 812976 | res[localDof.dofIndex()] += residual[localDof.index()]; | |
| 108 | |||
| 109 | // assemble the coupling blocks for coupled models (does nothing if not coupled) | ||
| 110 | maybeAssembleCouplingBlocks(residual); | ||
| 111 | } | ||
| 112 |
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15477010 | else if (!this->elementIsGhost()) |
| 113 | { | ||
| 114 | 15407506 | const auto residual = this->asImp_().assembleJacobianAndResidualImpl(jac, gridVariables, partialReassembler); // forward to the internal implementation | |
| 115 | |||
| 116 |
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66297800 | for (const auto& localDof : localDofs(this->fvGeometry())) |
| 117 | 84490048 | res[localDof.dofIndex()] += residual[localDof.index()]; | |
| 118 | |||
| 119 | // assemble the coupling blocks for coupled models (does nothing if not coupled) | ||
| 120 | 4327926 | maybeAssembleCouplingBlocks(residual); | |
| 121 | } | ||
| 122 | else | ||
| 123 | { | ||
| 124 | // Treatment of ghost elements | ||
| 125 | 69504 | assert(this->elementIsGhost()); | |
| 126 | |||
| 127 | // handle dofs per codimension | ||
| 128 | 69504 | const auto& gridGeometry = this->asImp_().problem().gridGeometry(); | |
| 129 | 419904 | Dune::Hybrid::forEach(std::make_integer_sequence<int, dim>{}, [&](auto d) | |
| 130 | { | ||
| 131 | 139008 | constexpr int codim = dim - d; | |
| 132 | 139008 | const auto& localCoeffs = gridGeometry.feCache().get(this->element().type()).localCoefficients(); | |
| 133 |
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828060 | for (int idx = 0; idx < localCoeffs.size(); ++idx) |
| 134 | { | ||
| 135 |
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554280 | const auto& localKey = localCoeffs.localKey(idx); |
| 136 | |||
| 137 | // skip if we are not handling this codim right now | ||
| 138 |
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554280 | if (localKey.codim() != codim) |
| 139 | 414792 | continue; | |
| 140 | |||
| 141 | // do not change the non-ghost entities | ||
| 142 |
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277140 | auto entity = this->element().template subEntity<codim>(localKey.subEntity()); |
| 143 |
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282900 | if (entity.partitionType() == Dune::InteriorEntity || entity.partitionType() == Dune::BorderEntity) |
| 144 | 2880 | continue; | |
| 145 | |||
| 146 | // WARNING: this only works if the mapping from codim+subEntity to | ||
| 147 | // global dofIndex is unique (on dof per entity of this codim). | ||
| 148 | // For more general mappings, we should use a proper local-global mapping here. | ||
| 149 | // For example through dune-functions. | ||
| 150 |
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139488 | const auto dofIndex = gridGeometry.dofMapper().index(entity); |
| 151 | |||
| 152 | // this might be a vector-valued dof | ||
| 153 | using BlockType = typename JacobianMatrix::block_type; | ||
| 154 |
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139488 | BlockType &J = jac[dofIndex][dofIndex]; |
| 155 |
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478584 | for (int j = 0; j < BlockType::rows; ++j) |
| 156 | 339096 | J[j][j] = 1.0; | |
| 157 | |||
| 158 | // set residual for the ghost dof | ||
| 159 |
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271776 | res[dofIndex] = 0; |
| 160 | } | ||
| 161 | }); | ||
| 162 | } | ||
| 163 | |||
| 164 | 18956154 | auto applyDirichlet = [&] (const auto& scvOrLocalDofI, | |
| 165 | const auto& dirichletValues, | ||
| 166 | const auto eqIdx, | ||
| 167 | const auto pvIdx) | ||
| 168 | { | ||
| 169 | 1688761 | res[scvOrLocalDofI.dofIndex()][eqIdx] = this->curElemVolVars()[scvOrLocalDofI].priVars()[pvIdx] - dirichletValues[pvIdx]; | |
| 170 | |||
| 171 | 1688761 | auto& row = jac[scvOrLocalDofI.dofIndex()]; | |
| 172 |
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14754545 | for (auto col = row.begin(); col != row.end(); ++col) |
| 173 | 24723813 | row[col.index()][eqIdx] = 0.0; | |
| 174 | |||
| 175 | 1688761 | jac[scvOrLocalDofI.dofIndex()][scvOrLocalDofI.dofIndex()][eqIdx][pvIdx] = 1.0; | |
| 176 | |||
| 177 | // if a periodic dof has Dirichlet values also apply the same Dirichlet values to the other dof | ||
| 178 | 2534541 | if (this->asImp_().problem().gridGeometry().dofOnPeriodicBoundary(scvOrLocalDofI.dofIndex())) | |
| 179 | { | ||
| 180 | 4 | const auto periodicDof = this->asImp_().problem().gridGeometry().periodicallyMappedDof(scvOrLocalDofI.dofIndex()); | |
| 181 | 4 | res[periodicDof][eqIdx] = this->asImp_().curSol()[periodicDof][pvIdx] - dirichletValues[pvIdx]; | |
| 182 | |||
| 183 | 4 | auto& rowP = jac[periodicDof]; | |
| 184 |
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30 | for (auto col = rowP.begin(); col != rowP.end(); ++col) |
| 185 | 26 | rowP[col.index()][eqIdx] = 0.0; | |
| 186 | |||
| 187 | 4 | rowP[periodicDof][eqIdx][pvIdx] = 1.0; | |
| 188 | } | ||
| 189 | }; | ||
| 190 | |||
| 191 | 31157264 | this->asImp_().enforceDirichletConstraints(applyDirichlet); | |
| 192 | 15578632 | } | |
| 193 | |||
| 194 | /*! | ||
| 195 | * \brief Computes the derivatives with respect to the given element and adds them | ||
| 196 | * to the global matrix. | ||
| 197 | */ | ||
| 198 | 1136 | void assembleJacobian(JacobianMatrix& jac, GridVariables& gridVariables) | |
| 199 | { | ||
| 200 | 1136 | this->asImp_().bindLocalViews(); | |
| 201 | 1136 | this->asImp_().assembleJacobianAndResidualImpl(jac, gridVariables); // forward to the internal implementation | |
| 202 | |||
| 203 | 1816 | auto applyDirichlet = [&] (const auto& scvOrLocalDofI, | |
| 204 | const auto& dirichletValues, | ||
| 205 | const auto eqIdx, | ||
| 206 | const auto pvIdx) | ||
| 207 | { | ||
| 208 | 336 | auto& row = jac[scvOrLocalDofI.dofIndex()]; | |
| 209 |
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2416 | for (auto col = row.begin(); col != row.end(); ++col) |
| 210 | 2080 | row[col.index()][eqIdx] = 0.0; | |
| 211 | |||
| 212 | 336 | jac[scvOrLocalDofI.dofIndex()][scvOrLocalDofI.dofIndex()][eqIdx][pvIdx] = 1.0; | |
| 213 | }; | ||
| 214 | |||
| 215 | 2272 | this->asImp_().enforceDirichletConstraints(applyDirichlet); | |
| 216 | 1136 | } | |
| 217 | |||
| 218 | /*! | ||
| 219 | * \brief Assemble the residual only | ||
| 220 | */ | ||
| 221 | template <class ResidualVector> | ||
| 222 | 4109905 | void assembleResidual(ResidualVector& res) | |
| 223 | { | ||
| 224 | 4109905 | this->asImp_().bindLocalViews(); | |
| 225 | 4109905 | const auto residual = this->evalLocalResidual(); | |
| 226 | |||
| 227 |
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19833333 | for (const auto& localDof : localDofs(this->fvGeometry())) |
| 228 | 27153324 | res[localDof.dofIndex()] += residual[localDof.index()]; | |
| 229 | |||
| 230 | 4812349 | auto applyDirichlet = [&] (const auto& scvOrLocalDofI, | |
| 231 | const auto& dirichletValues, | ||
| 232 | const auto eqIdx, | ||
| 233 | const auto pvIdx) | ||
| 234 | { | ||
| 235 | 702444 | res[scvOrLocalDofI.dofIndex()][eqIdx] = this->curElemVolVars()[scvOrLocalDofI].priVars()[pvIdx] - dirichletValues[pvIdx]; | |
| 236 | }; | ||
| 237 | |||
| 238 | 8219810 | this->asImp_().enforceDirichletConstraints(applyDirichlet); | |
| 239 | 4109905 | } | |
| 240 | |||
| 241 | //! Enforce Dirichlet constraints | ||
| 242 | template<typename ApplyFunction> | ||
| 243 | 16197192 | void enforceDirichletConstraints(const ApplyFunction& applyDirichlet) | |
| 244 | { | ||
| 245 | // enforce Dirichlet boundary conditions | ||
| 246 | 16197192 | this->asImp_().evalDirichletBoundaries(applyDirichlet); | |
| 247 | // take care of internal Dirichlet constraints (if enabled) | ||
| 248 | 16190792 | this->asImp_().enforceInternalDirichletConstraints(applyDirichlet); | |
| 249 | } | ||
| 250 | |||
| 251 | /*! | ||
| 252 | * \brief Evaluates Dirichlet boundaries | ||
| 253 | */ | ||
| 254 | template< typename ApplyDirichletFunctionType > | ||
| 255 | 32376900 | void evalDirichletBoundaries(ApplyDirichletFunctionType applyDirichlet) | |
| 256 | { | ||
| 257 | // enforce Dirichlet boundaries by overwriting partial derivatives with 1 or 0 | ||
| 258 | // and set the residual to (privar - dirichletvalue) | ||
| 259 |
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32376900 | if (this->elemBcTypes().hasDirichlet()) |
| 260 | { | ||
| 261 |
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6219528 | for (const auto& scvI : scvs(this->fvGeometry())) |
| 262 | { | ||
| 263 |
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4865078 | const auto bcTypes = this->elemBcTypes().get(this->fvGeometry(), scvI); |
| 264 |
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4865078 | if (bcTypes.hasDirichlet()) |
| 265 | { | ||
| 266 |
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2358790 | const auto dirichletValues = this->asImp_().problem().dirichlet(this->element(), scvI); |
| 267 | |||
| 268 | // set the Dirichlet conditions in residual and jacobian | ||
| 269 |
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7184828 | for (int eqIdx = 0; eqIdx < numEq; ++eqIdx) |
| 270 | { | ||
| 271 |
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4826038 | if (bcTypes.isDirichlet(eqIdx)) |
| 272 | { | ||
| 273 |
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4777130 | const auto pvIdx = bcTypes.eqToDirichletIndex(eqIdx); |
| 274 |
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4777130 | assert(0 <= pvIdx && pvIdx < numEq); |
| 275 |
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4777130 | applyDirichlet(scvI, dirichletValues, eqIdx, pvIdx); |
| 276 | } | ||
| 277 | } | ||
| 278 | } | ||
| 279 | } | ||
| 280 | } | ||
| 281 | 32376900 | } | |
| 282 | |||
| 283 | /*! | ||
| 284 | * \brief Update the coupling context for coupled models. | ||
| 285 | * \note This does nothing per default (not a coupled model). | ||
| 286 | */ | ||
| 287 | template<class... Args> | ||
| 288 | void maybeUpdateCouplingContext(Args&&...) {} | ||
| 289 | |||
| 290 | /*! | ||
| 291 | * \brief Update the additional domain derivatives for coupled models. | ||
| 292 | * \note This does nothing per default (not a coupled model). | ||
| 293 | */ | ||
| 294 | template<class... Args> | ||
| 295 | void maybeEvalAdditionalDomainDerivatives(Args&&...) {} | ||
| 296 | |||
| 297 | }; | ||
| 298 | |||
| 299 | /*! | ||
| 300 | * \ingroup Assembly | ||
| 301 | * \ingroup CVFEDiscretization | ||
| 302 | * \brief An assembler for Jacobian and residual contribution per element (CVFE methods) | ||
| 303 | * \tparam TypeTag The TypeTag | ||
| 304 | * \tparam diffMethod The differentiation method to residual compute derivatives | ||
| 305 | * \tparam implicit Specifies whether the time discretization is implicit or not not (i.e. explicit) | ||
| 306 | * \tparam Implementation via CRTP | ||
| 307 | */ | ||
| 308 | template<class TypeTag, class Assembler, DiffMethod diffMethod = DiffMethod::numeric, bool implicit = true, class Implementation = void> | ||
| 309 | class CVFELocalAssembler; | ||
| 310 | |||
| 311 | /*! | ||
| 312 | * \ingroup Assembly | ||
| 313 | * \ingroup CVFEDiscretization | ||
| 314 | * \brief Control volume finite element local assembler using numeric differentiation and implicit time discretization | ||
| 315 | */ | ||
| 316 | template<class TypeTag, class Assembler, class Implementation> | ||
| 317 |
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17151754 | class CVFELocalAssembler<TypeTag, Assembler, DiffMethod::numeric, /*implicit=*/true, Implementation> |
| 318 | : public CVFELocalAssemblerBase<TypeTag, Assembler, | ||
| 319 | Detail::CVFE::Impl<Implementation, CVFELocalAssembler<TypeTag, Assembler, DiffMethod::numeric, true, Implementation>>, | ||
| 320 | true> | ||
| 321 | { | ||
| 322 | using ThisType = CVFELocalAssembler<TypeTag, Assembler, DiffMethod::numeric, true, Implementation>; | ||
| 323 | using ParentType = CVFELocalAssemblerBase<TypeTag, Assembler, Detail::CVFE::Impl<Implementation, ThisType>, true>; | ||
| 324 | using Scalar = GetPropType<TypeTag, Properties::Scalar>; | ||
| 325 | using GridVariables = GetPropType<TypeTag, Properties::GridVariables>; | ||
| 326 | using GridVolumeVariables = GetPropType<TypeTag, Properties::GridVolumeVariables>; | ||
| 327 | using ElementVolumeVariables = typename GridVariables::GridVolumeVariables::LocalView; | ||
| 328 | using VolumeVariables = GetPropType<TypeTag, Properties::VolumeVariables>; | ||
| 329 | using JacobianMatrix = GetPropType<TypeTag, Properties::JacobianMatrix>; | ||
| 330 | |||
| 331 | static constexpr int numEq = GetPropType<TypeTag, Properties::ModelTraits>::numEq(); | ||
| 332 | static constexpr int dim = GetPropType<TypeTag, Properties::GridGeometry>::GridView::dimension; | ||
| 333 | |||
| 334 | static constexpr bool enableGridFluxVarsCache | ||
| 335 | = GridVariables::GridFluxVariablesCache::cachingEnabled; | ||
| 336 | static constexpr bool solutionDependentFluxVarsCache | ||
| 337 | = GridVariables::GridFluxVariablesCache::FluxVariablesCache::isSolDependent; | ||
| 338 | |||
| 339 | public: | ||
| 340 | |||
| 341 | using LocalResidual = typename ParentType::LocalResidual; | ||
| 342 | using ElementResidualVector = typename LocalResidual::ElementResidualVector; | ||
| 343 |
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13916736 | using ParentType::ParentType; |
| 344 | |||
| 345 | /*! | ||
| 346 | * \brief Computes the derivatives with respect to the given element and adds them | ||
| 347 | * to the global matrix. | ||
| 348 | * | ||
| 349 | * \return The element residual at the current solution. | ||
| 350 | */ | ||
| 351 | template <class PartialReassembler = DefaultPartialReassembler> | ||
| 352 | 11173516 | ElementResidualVector assembleJacobianAndResidualImpl(JacobianMatrix& A, GridVariables& gridVariables, | |
| 353 | const PartialReassembler* partialReassembler = nullptr) | ||
| 354 | { | ||
| 355 | // get some aliases for convenience | ||
| 356 | 11173516 | const auto& element = this->element(); | |
| 357 | 11173516 | const auto& fvGeometry = this->fvGeometry(); | |
| 358 | 11173516 | const auto& curSol = this->asImp_().curSol(); | |
| 359 | |||
| 360 | 11173516 | auto&& curElemVolVars = this->curElemVolVars(); | |
| 361 | 11173516 | auto&& elemFluxVarsCache = this->elemFluxVarsCache(); | |
| 362 | |||
| 363 | // get the vector of the actual element residuals | ||
| 364 | 11173516 | const auto origResiduals = this->evalLocalResidual(); | |
| 365 | |||
| 366 | ////////////////////////////////////////////////////////////////////////////////////////////////// | ||
| 367 | // // | ||
| 368 | // Calculate derivatives of all dofs in stencil with respect to the dofs in the element. In the // | ||
| 369 | // neighboring elements we do so by computing the derivatives of the fluxes which depend on the // | ||
| 370 | // actual element. In the actual element we evaluate the derivative of the entire residual. // | ||
| 371 | // // | ||
| 372 | ////////////////////////////////////////////////////////////////////////////////////////////////// | ||
| 373 | |||
| 374 | // if all volvars in the stencil have to be updated or if it's enough to only update the | ||
| 375 | // volVars for the scv whose associated dof has been deflected | ||
| 376 |
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11173516 | static const bool updateAllVolVars = getParamFromGroup<bool>( |
| 377 |
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452 | this->asImp_().problem().paramGroup(), "Assembly.BoxVolVarsDependOnAllElementDofs", false |
| 378 | ); | ||
| 379 | |||
| 380 | // create the element solution | ||
| 381 | 12888382 | auto elemSol = elementSolution(element, curSol, fvGeometry.gridGeometry()); | |
| 382 | |||
| 383 | // create the vector storing the partial derivatives | ||
| 384 | 11173516 | ElementResidualVector partialDerivs(Detail::LocalDofs::numLocalDofs(fvGeometry)); | |
| 385 | |||
| 386 | 11230876 | auto deflectionPolicy = Detail::CVFE::makeVariablesDeflectionPolicy( | |
| 387 | 11173516 | gridVariables.curGridVolVars(), | |
| 388 | curElemVolVars, | ||
| 389 | fvGeometry, | ||
| 390 | updateAllVolVars | ||
| 391 | ); | ||
| 392 | |||
| 393 |
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87482944 | auto assembleDerivative = [&, this](const auto& localDof) |
| 394 | { | ||
| 395 | // dof index and corresponding actual pri vars | ||
| 396 |
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38154714 | const auto dofIdx = localDof.dofIndex(); |
| 397 | 38154714 | const auto localIdx = localDof.index(); | |
| 398 |
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38154714 | deflectionPolicy.store(localDof); |
| 399 | |||
| 400 | // calculate derivatives w.r.t to the privars at the dof at hand | ||
| 401 |
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123301918 | for (int pvIdx = 0; pvIdx < numEq; pvIdx++) |
| 402 | { | ||
| 403 | 85147204 | partialDerivs = 0.0; | |
| 404 | |||
| 405 | 171640328 | auto evalResiduals = [&](Scalar priVar) | |
| 406 | { | ||
| 407 | // update the volume variables and compute element residual | ||
| 408 | 86493124 | elemSol[localIdx][pvIdx] = priVar; | |
| 409 | 86493124 | deflectionPolicy.update(elemSol, localDof, this->asImp_().problem()); | |
| 410 | if constexpr (solutionDependentFluxVarsCache) | ||
| 411 | { | ||
| 412 | 3127718 | elemFluxVarsCache.update(element, fvGeometry, curElemVolVars); | |
| 413 | if constexpr (enableGridFluxVarsCache) | ||
| 414 | gridVariables.gridFluxVarsCache().updateElement(element, fvGeometry, curElemVolVars); | ||
| 415 | } | ||
| 416 | 86493124 | this->asImp_().maybeUpdateCouplingContext(localDof, elemSol, pvIdx); | |
| 417 | 86493124 | return this->evalLocalResidual(); | |
| 418 | }; | ||
| 419 | |||
| 420 | // derive the residuals numerically | ||
| 421 |
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85147204 | static const NumericEpsilon<Scalar, numEq> eps_{this->asImp_().problem().paramGroup()}; |
| 422 |
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85147204 | static const int numDiffMethod = getParamFromGroup<int>(this->asImp_().problem().paramGroup(), "Assembly.NumericDifferenceMethod"); |
| 423 |
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85147204 | NumericDifferentiation::partialDerivative(evalResiduals, elemSol[localIdx][pvIdx], partialDerivs, origResiduals, |
| 424 | 85147204 | eps_(elemSol[localIdx][pvIdx], pvIdx), numDiffMethod); | |
| 425 | |||
| 426 | // update the global stiffness matrix with the current partial derivatives | ||
| 427 |
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402196774 | for (const auto& localDofJ : localDofs(fvGeometry)) |
| 428 | { | ||
| 429 | // don't add derivatives for green dofs | ||
| 430 | 278223070 | if (!partialReassembler | |
| 431 |
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273979070 | || partialReassembler->dofColor(localDofJ.dofIndex()) != EntityColor::green) |
| 432 | { | ||
| 433 |
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1131053808 | for (int eqIdx = 0; eqIdx < numEq; eqIdx++) |
| 434 | { | ||
| 435 | // A[i][col][eqIdx][pvIdx] is the rate of change of | ||
| 436 | // the residual of equation 'eqIdx' at dof 'i' | ||
| 437 | // depending on the primary variable 'pvIdx' at dof | ||
| 438 | // 'col'. | ||
| 439 |
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817626646 | A[localDofJ.dofIndex()][dofIdx][eqIdx][pvIdx] += partialDerivs[localDofJ.index()][eqIdx]; |
| 440 | } | ||
| 441 | } | ||
| 442 | } | ||
| 443 | |||
| 444 | // restore the original state of the scv's volume variables | ||
| 445 | 85147204 | deflectionPolicy.restore(localDof); | |
| 446 | |||
| 447 | // restore the original element solution | ||
| 448 |
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85147204 | elemSol[localIdx][pvIdx] = curSol[localDof.dofIndex()][pvIdx]; |
| 449 |
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85203444 | this->asImp_().maybeUpdateCouplingContext(localDof, elemSol, pvIdx); |
| 450 | } | ||
| 451 | }; | ||
| 452 | |||
| 453 | // calculation of the derivatives | ||
| 454 |
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49352166 | for (const auto& localDof : localDofs(fvGeometry)) |
| 455 | 38178650 | assembleDerivative(localDof); | |
| 456 | |||
| 457 | // restore original state of the flux vars cache in case of global caching. | ||
| 458 | // In the case of local caching this is obsolete because the elemFluxVarsCache used here goes out of scope after this. | ||
| 459 | if constexpr (enableGridFluxVarsCache) | ||
| 460 | 3850564 | gridVariables.gridFluxVarsCache().updateElement(element, fvGeometry, curElemVolVars); | |
| 461 | |||
| 462 | // evaluate additional derivatives that might arise from the coupling (no-op if not coupled) | ||
| 463 | 9804489 | this->asImp_().maybeEvalAdditionalDomainDerivatives(origResiduals, A, gridVariables); | |
| 464 | |||
| 465 | 11173516 | return origResiduals; | |
| 466 | } | ||
| 467 | |||
| 468 | }; // implicit CVFEAssembler with numeric Jacobian | ||
| 469 | |||
| 470 | /*! | ||
| 471 | * \ingroup Assembly | ||
| 472 | * \ingroup CVFEDiscretization | ||
| 473 | * \brief Control volume finite element local assembler using numeric differentiation and explicit time discretization | ||
| 474 | */ | ||
| 475 | template<class TypeTag, class Assembler, class Implementation> | ||
| 476 | 1014000 | class CVFELocalAssembler<TypeTag, Assembler, DiffMethod::numeric, /*implicit=*/false, Implementation> | |
| 477 | : public CVFELocalAssemblerBase<TypeTag, Assembler, | ||
| 478 | Detail::CVFE::Impl<Implementation, CVFELocalAssembler<TypeTag, Assembler, DiffMethod::numeric, false, Implementation>>, | ||
| 479 | false> | ||
| 480 | { | ||
| 481 | using ThisType = CVFELocalAssembler<TypeTag, Assembler, DiffMethod::numeric, false, Implementation>; | ||
| 482 | using ParentType = CVFELocalAssemblerBase<TypeTag, Assembler, Detail::CVFE::Impl<Implementation, ThisType>, false>; | ||
| 483 | using Scalar = GetPropType<TypeTag, Properties::Scalar>; | ||
| 484 | using GridVariables = GetPropType<TypeTag, Properties::GridVariables>; | ||
| 485 | using VolumeVariables = GetPropType<TypeTag, Properties::VolumeVariables>; | ||
| 486 | using JacobianMatrix = GetPropType<TypeTag, Properties::JacobianMatrix>; | ||
| 487 | |||
| 488 | static constexpr int numEq = GetPropType<TypeTag, Properties::ModelTraits>::numEq(); | ||
| 489 | static constexpr int dim = GetPropType<TypeTag, Properties::GridGeometry>::GridView::dimension; | ||
| 490 | |||
| 491 | public: | ||
| 492 | |||
| 493 | using LocalResidual = typename ParentType::LocalResidual; | ||
| 494 | using ElementResidualVector = typename LocalResidual::ElementResidualVector; | ||
| 495 |
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1014000 | using ParentType::ParentType; |
| 496 | |||
| 497 | /*! | ||
| 498 | * \brief Computes the derivatives with respect to the given element and adds them | ||
| 499 | * to the global matrix. | ||
| 500 | * | ||
| 501 | * \return The element residual at the current solution. | ||
| 502 | */ | ||
| 503 | template <class PartialReassembler = DefaultPartialReassembler> | ||
| 504 | 1014000 | ElementResidualVector assembleJacobianAndResidualImpl(JacobianMatrix& A, GridVariables& gridVariables, | |
| 505 | const PartialReassembler* partialReassembler = nullptr) | ||
| 506 | { | ||
| 507 | 1014000 | if (partialReassembler) | |
| 508 | ✗ | DUNE_THROW(Dune::NotImplemented, "partial reassembly for explicit time discretization"); | |
| 509 | |||
| 510 | // get some aliases for convenience | ||
| 511 | 1014000 | const auto& element = this->element(); | |
| 512 | 1014000 | const auto& fvGeometry = this->fvGeometry(); | |
| 513 | 1014000 | const auto& curSol = this->asImp_().curSol(); | |
| 514 | 1014000 | auto&& curElemVolVars = this->curElemVolVars(); | |
| 515 | |||
| 516 | // get the vecor of the actual element residuals | ||
| 517 | 1014000 | const auto origResiduals = this->evalLocalResidual(); | |
| 518 | 1014000 | const auto origStorageResiduals = this->evalLocalStorageResidual(); | |
| 519 | |||
| 520 | ////////////////////////////////////////////////////////////////////////////////////////////////// | ||
| 521 | // // | ||
| 522 | // Calculate derivatives of all dofs in stencil with respect to the dofs in the element. In the // | ||
| 523 | // neighboring elements we do so by computing the derivatives of the fluxes which depend on the // | ||
| 524 | // actual element. In the actual element we evaluate the derivative of the entire residual. // | ||
| 525 | // // | ||
| 526 | ////////////////////////////////////////////////////////////////////////////////////////////////// | ||
| 527 | |||
| 528 | // create the element solution | ||
| 529 | 2028000 | auto elemSol = elementSolution(element, curSol, fvGeometry.gridGeometry()); | |
| 530 | |||
| 531 | // create the vector storing the partial derivatives | ||
| 532 | 2028000 | ElementResidualVector partialDerivs(Detail::LocalDofs::numLocalDofs(fvGeometry)); | |
| 533 | |||
| 534 | // calculation of the derivatives | ||
| 535 | 4006000 | for (const auto& scv : scvs(fvGeometry)) | |
| 536 | { | ||
| 537 | // dof index and corresponding actual pri vars | ||
| 538 | 2992000 | const auto localIdx = scv.localDofIndex(); | |
| 539 | 2992000 | const auto dofIdx = scv.dofIndex(); | |
| 540 | 2992000 | auto& curVolVars = this->getVolVarAccess(gridVariables.curGridVolVars(), curElemVolVars, scv); | |
| 541 | 2992000 | const VolumeVariables origVolVars(curVolVars); | |
| 542 | |||
| 543 | // calculate derivatives w.r.t to the privars at the dof at hand | ||
| 544 | 5984000 | for (int pvIdx = 0; pvIdx < numEq; pvIdx++) | |
| 545 | { | ||
| 546 | 2992000 | partialDerivs = 0.0; | |
| 547 | |||
| 548 | 5984000 | auto evalStorage = [&](Scalar priVar) | |
| 549 | { | ||
| 550 | // auto partialDerivsTmp = partialDerivs; | ||
| 551 | 2992000 | elemSol[localIdx][pvIdx] = priVar; | |
| 552 | 2992000 | curVolVars.update(elemSol, this->asImp_().problem(), element, scv); | |
| 553 | 2992000 | return this->evalLocalStorageResidual(); | |
| 554 | }; | ||
| 555 | |||
| 556 | // derive the residuals numerically | ||
| 557 | 2992000 | static const NumericEpsilon<Scalar, numEq> eps_{this->asImp_().problem().paramGroup()}; | |
| 558 | 2992000 | static const int numDiffMethod = getParamFromGroup<int>(this->asImp_().problem().paramGroup(), "Assembly.NumericDifferenceMethod"); | |
| 559 | 2992000 | NumericDifferentiation::partialDerivative(evalStorage, elemSol[localIdx][pvIdx], partialDerivs, origStorageResiduals, | |
| 560 | 2992000 | eps_(elemSol[localIdx][pvIdx], pvIdx), numDiffMethod); | |
| 561 | |||
| 562 | // update the global stiffness matrix with the current partial derivatives | ||
| 563 | 5984000 | for (int eqIdx = 0; eqIdx < numEq; eqIdx++) | |
| 564 | { | ||
| 565 | // A[i][col][eqIdx][pvIdx] is the rate of change of | ||
| 566 | // the residual of equation 'eqIdx' at dof 'i' | ||
| 567 | // depending on the primary variable 'pvIdx' at dof | ||
| 568 | // 'col'. | ||
| 569 | 2992000 | A[dofIdx][dofIdx][eqIdx][pvIdx] += partialDerivs[localIdx][eqIdx]; | |
| 570 | } | ||
| 571 | |||
| 572 | // restore the original state of the scv's volume variables | ||
| 573 | 2992000 | curVolVars = origVolVars; | |
| 574 | |||
| 575 | // restore the original element solution | ||
| 576 | 2992000 | elemSol[localIdx][pvIdx] = curSol[dofIdx][pvIdx]; | |
| 577 | // TODO additional dof dependencies | ||
| 578 | } | ||
| 579 | } | ||
| 580 | |||
| 581 | 1014000 | return origResiduals; | |
| 582 | } | ||
| 583 | }; // explicit CVFEAssembler with numeric Jacobian | ||
| 584 | |||
| 585 | /*! | ||
| 586 | * \ingroup Assembly | ||
| 587 | * \ingroup CVFEDiscretization | ||
| 588 | * \brief Control volume finite element local assembler using analytic differentiation and implicit time discretization | ||
| 589 | */ | ||
| 590 | template<class TypeTag, class Assembler, class Implementation> | ||
| 591 |
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1259597 | class CVFELocalAssembler<TypeTag, Assembler, DiffMethod::analytic, /*implicit=*/true, Implementation> |
| 592 | : public CVFELocalAssemblerBase<TypeTag, Assembler, | ||
| 593 | Detail::CVFE::Impl<Implementation, CVFELocalAssembler<TypeTag, Assembler, DiffMethod::analytic, true, Implementation>>, | ||
| 594 | true> | ||
| 595 | { | ||
| 596 | using ThisType = CVFELocalAssembler<TypeTag, Assembler, DiffMethod::analytic, true, Implementation>; | ||
| 597 | using ParentType = CVFELocalAssemblerBase<TypeTag, Assembler, Detail::CVFE::Impl<Implementation, ThisType>, true>; | ||
| 598 | using GridVariables = GetPropType<TypeTag, Properties::GridVariables>; | ||
| 599 | using JacobianMatrix = GetPropType<TypeTag, Properties::JacobianMatrix>; | ||
| 600 | |||
| 601 | public: | ||
| 602 | |||
| 603 | using LocalResidual = typename ParentType::LocalResidual; | ||
| 604 | using ElementResidualVector = typename LocalResidual::ElementResidualVector; | ||
| 605 |
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754597 | using ParentType::ParentType; |
| 606 | |||
| 607 | /*! | ||
| 608 | * \brief Computes the derivatives with respect to the given element and adds them | ||
| 609 | * to the global matrix. | ||
| 610 | * | ||
| 611 | * \return The element residual at the current solution. | ||
| 612 | */ | ||
| 613 | template <class PartialReassembler = DefaultPartialReassembler> | ||
| 614 | 253869 | ElementResidualVector assembleJacobianAndResidualImpl(JacobianMatrix& A, GridVariables& gridVariables, | |
| 615 | const PartialReassembler* partialReassembler = nullptr) | ||
| 616 | { | ||
| 617 |
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253869 | if (partialReassembler) |
| 618 | ✗ | DUNE_THROW(Dune::NotImplemented, "partial reassembly for analytic differentiation"); | |
| 619 | |||
| 620 | // get some aliases for convenience | ||
| 621 | 253869 | const auto& element = this->element(); | |
| 622 | 253869 | const auto& fvGeometry = this->fvGeometry(); | |
| 623 | 253869 | const auto& problem = this->asImp_().problem(); | |
| 624 | 253869 | const auto& curElemVolVars = this->curElemVolVars(); | |
| 625 | 253869 | const auto& elemFluxVarsCache = this->elemFluxVarsCache(); | |
| 626 | |||
| 627 | // get the vecor of the actual element residuals | ||
| 628 | 253869 | const auto origResiduals = this->evalLocalResidual(); | |
| 629 | |||
| 630 | ////////////////////////////////////////////////////////////////////////////////////////////////// | ||
| 631 | // // | ||
| 632 | // Calculate derivatives of all dofs in stencil with respect to the dofs in the element. In the // | ||
| 633 | // neighboring elements we do so by computing the derivatives of the fluxes which depend on the // | ||
| 634 | // actual element. In the actual element we evaluate the derivative of the entire residual. // | ||
| 635 | // // | ||
| 636 | ////////////////////////////////////////////////////////////////////////////////////////////////// | ||
| 637 | |||
| 638 | // calculation of the source and storage derivatives | ||
| 639 |
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999135 | for (const auto& scv : scvs(fvGeometry)) |
| 640 | { | ||
| 641 | // dof index and corresponding actual pri vars | ||
| 642 |
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745266 | const auto dofIdx = scv.dofIndex(); |
| 643 | 745266 | const auto& volVars = curElemVolVars[scv]; | |
| 644 | |||
| 645 | // derivative of this scv residual w.r.t the d.o.f. of the same scv (because of mass lumping) | ||
| 646 | // only if the problem is instationary we add derivative of storage term | ||
| 647 | // TODO if e.g. porosity depends on all dofs in the element, we would have off-diagonal matrix entries!? | ||
| 648 |
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745266 | if (!this->assembler().isStationaryProblem()) |
| 649 | 611000 | this->localResidual().addStorageDerivatives(A[dofIdx][dofIdx], | |
| 650 | problem, | ||
| 651 | element, | ||
| 652 | fvGeometry, | ||
| 653 | volVars, | ||
| 654 | scv); | ||
| 655 | |||
| 656 | // derivative of this scv residual w.r.t the d.o.f. of the same scv (because of mass lumping) | ||
| 657 | // add source term derivatives | ||
| 658 | 745266 | this->localResidual().addSourceDerivatives(A[dofIdx][dofIdx], | |
| 659 | problem, | ||
| 660 | element, | ||
| 661 | fvGeometry, | ||
| 662 | volVars, | ||
| 663 | scv); | ||
| 664 | } | ||
| 665 | |||
| 666 | // localJacobian[scvIdx][otherScvIdx][eqIdx][priVarIdx] of the fluxes | ||
| 667 |
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890388 | for (const auto& scvf : scvfs(fvGeometry)) |
| 668 | { | ||
| 669 |
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635914 | if (!scvf.boundary()) |
| 670 | { | ||
| 671 | // add flux term derivatives | ||
| 672 | 610161 | this->localResidual().addFluxDerivatives(A, | |
| 673 | problem, | ||
| 674 | element, | ||
| 675 | fvGeometry, | ||
| 676 | curElemVolVars, | ||
| 677 | elemFluxVarsCache, | ||
| 678 | scvf); | ||
| 679 | } | ||
| 680 | |||
| 681 | // the boundary gets special treatment to simplify | ||
| 682 | // for the user | ||
| 683 | else | ||
| 684 | { | ||
| 685 | 26358 | const auto& insideScv = fvGeometry.scv(scvf.insideScvIdx()); | |
| 686 | 26358 | if (this->elemBcTypes().get(fvGeometry, insideScv).hasNeumann()) | |
| 687 | { | ||
| 688 | // add flux term derivatives | ||
| 689 | 26358 | this->localResidual().addRobinFluxDerivatives(A[insideScv.dofIndex()], | |
| 690 | problem, | ||
| 691 | element, | ||
| 692 | fvGeometry, | ||
| 693 | curElemVolVars, | ||
| 694 | elemFluxVarsCache, | ||
| 695 | scvf); | ||
| 696 | } | ||
| 697 | } | ||
| 698 | } | ||
| 699 | |||
| 700 | 253869 | return origResiduals; | |
| 701 | } | ||
| 702 | |||
| 703 | }; // implicit CVFEAssembler with analytic Jacobian | ||
| 704 | |||
| 705 | /*! | ||
| 706 | * \ingroup Assembly | ||
| 707 | * \ingroup CVFEDiscretization | ||
| 708 | * \brief Control volume finite element local assembler using analytic differentiation and explicit time discretization | ||
| 709 | */ | ||
| 710 | template<class TypeTag, class Assembler, class Implementation> | ||
| 711 |
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1010000 | class CVFELocalAssembler<TypeTag, Assembler, DiffMethod::analytic, /*implicit=*/false, Implementation> |
| 712 | : public CVFELocalAssemblerBase<TypeTag, Assembler, | ||
| 713 | Detail::CVFE::Impl<Implementation, CVFELocalAssembler<TypeTag, Assembler, DiffMethod::analytic, false, Implementation>>, | ||
| 714 | false> | ||
| 715 | { | ||
| 716 | using ThisType = CVFELocalAssembler<TypeTag, Assembler, DiffMethod::analytic, false, Implementation>; | ||
| 717 | using ParentType = CVFELocalAssemblerBase<TypeTag, Assembler, Detail::CVFE::Impl<Implementation, ThisType>, false>; | ||
| 718 | using GridVariables = GetPropType<TypeTag, Properties::GridVariables>; | ||
| 719 | using JacobianMatrix = GetPropType<TypeTag, Properties::JacobianMatrix>; | ||
| 720 | |||
| 721 | public: | ||
| 722 | |||
| 723 | using LocalResidual = typename ParentType::LocalResidual; | ||
| 724 | using ElementResidualVector = typename LocalResidual::ElementResidualVector; | ||
| 725 |
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505000 | using ParentType::ParentType; |
| 726 | |||
| 727 | /*! | ||
| 728 | * \brief Computes the derivatives with respect to the given element and adds them | ||
| 729 | * to the global matrix. | ||
| 730 | * | ||
| 731 | * \return The element residual at the current solution. | ||
| 732 | */ | ||
| 733 | template <class PartialReassembler = DefaultPartialReassembler> | ||
| 734 | 5000 | ElementResidualVector assembleJacobianAndResidualImpl(JacobianMatrix& A, GridVariables& gridVariables, | |
| 735 | const PartialReassembler* partialReassembler = nullptr) | ||
| 736 | { | ||
| 737 |
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5000 | if (partialReassembler) |
| 738 | ✗ | DUNE_THROW(Dune::NotImplemented, "partial reassembly for explicit time discretization"); | |
| 739 | |||
| 740 | // get some aliases for convenience | ||
| 741 | 5000 | const auto& element = this->element(); | |
| 742 | 5000 | const auto& fvGeometry = this->fvGeometry(); | |
| 743 | 5000 | const auto& problem = this->asImp_().problem(); | |
| 744 | 5000 | const auto& curElemVolVars = this->curElemVolVars(); | |
| 745 | |||
| 746 | // get the vecor of the actual element residuals | ||
| 747 | 5000 | const auto origResiduals = this->evalLocalResidual(); | |
| 748 | |||
| 749 | ////////////////////////////////////////////////////////////////////////////////////////////////// | ||
| 750 | // // | ||
| 751 | // Calculate derivatives of all dofs in stencil with respect to the dofs in the element. In the // | ||
| 752 | // neighboring elements we do so by computing the derivatives of the fluxes which depend on the // | ||
| 753 | // actual element. In the actual element we evaluate the derivative of the entire residual. // | ||
| 754 | // // | ||
| 755 | ////////////////////////////////////////////////////////////////////////////////////////////////// | ||
| 756 | |||
| 757 | // calculation of the source and storage derivatives | ||
| 758 |
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25000 | for (const auto& scv : scvs(fvGeometry)) |
| 759 | { | ||
| 760 | // dof index and corresponding actual pri vars | ||
| 761 | 20000 | const auto dofIdx = scv.dofIndex(); | |
| 762 | 20000 | const auto& volVars = curElemVolVars[scv]; | |
| 763 | |||
| 764 | // derivative of this scv residual w.r.t the d.o.f. of the same scv (because of mass lumping) | ||
| 765 | // only if the problem is instationary we add derivative of storage term | ||
| 766 | 20000 | this->localResidual().addStorageDerivatives(A[dofIdx][dofIdx], | |
| 767 | problem, | ||
| 768 | element, | ||
| 769 | fvGeometry, | ||
| 770 | volVars, | ||
| 771 | scv); | ||
| 772 | } | ||
| 773 | |||
| 774 | 5000 | return origResiduals; | |
| 775 | } | ||
| 776 | |||
| 777 | }; // explicit CVFEAssembler with analytic Jacobian | ||
| 778 | |||
| 779 | } // end namespace Dumux | ||
| 780 | |||
| 781 | #endif | ||
| 782 |