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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 | |||
| 27 | #include <dumux/assembly/numericepsilon.hh> | ||
| 28 | #include <dumux/assembly/diffmethod.hh> | ||
| 29 | #include <dumux/assembly/fvlocalassemblerbase.hh> | ||
| 30 | #include <dumux/assembly/partialreassembler.hh> | ||
| 31 | #include <dumux/assembly/entitycolor.hh> | ||
| 32 | |||
| 33 | #include <dumux/discretization/cvfe/elementsolution.hh> | ||
| 34 | |||
| 35 | #include "volvardeflectionhelper_.hh" | ||
| 36 | |||
| 37 | namespace Dumux { | ||
| 38 | |||
| 39 | #ifndef DOXYGEN | ||
| 40 | namespace Detail::CVFE { | ||
| 41 | |||
| 42 | struct NoOperator | ||
| 43 | { | ||
| 44 | template<class... Args> | ||
| 45 | constexpr void operator()(Args&&...) const {} | ||
| 46 | }; | ||
| 47 | |||
| 48 | template<class X, class Y> | ||
| 49 | using Impl = std::conditional_t<!std::is_same_v<X, void>, X, Y>; | ||
| 50 | |||
| 51 | } // end namespace Detail | ||
| 52 | #endif // DOXYGEN | ||
| 53 | |||
| 54 | /*! | ||
| 55 | * \ingroup Assembly | ||
| 56 | * \ingroup CVFEDiscretization | ||
| 57 | * \brief A base class for all local CVFE assemblers | ||
| 58 | * \tparam TypeTag The TypeTag | ||
| 59 | * \tparam Assembler The assembler type | ||
| 60 | * \tparam Implementation The actual implementation | ||
| 61 | * \tparam implicit Specifies whether the time discretization is implicit or not not (i.e. explicit) | ||
| 62 | */ | ||
| 63 | template<class TypeTag, class Assembler, class Implementation, bool implicit> | ||
| 64 | 20200727 | class CVFELocalAssemblerBase : public FVLocalAssemblerBase<TypeTag, Assembler, Implementation, implicit> | |
| 65 | { | ||
| 66 | using ParentType = FVLocalAssemblerBase<TypeTag, Assembler, Implementation, implicit>; | ||
| 67 | using JacobianMatrix = GetPropType<TypeTag, Properties::JacobianMatrix>; | ||
| 68 | using GridVariables = GetPropType<TypeTag, Properties::GridVariables>; | ||
| 69 | using ElementVolumeVariables = typename GridVariables::GridVolumeVariables::LocalView; | ||
| 70 | using SolutionVector = typename Assembler::SolutionVector; | ||
| 71 | |||
| 72 | static constexpr int numEq = GetPropType<TypeTag, Properties::ModelTraits>::numEq(); | ||
| 73 | static constexpr int dim = GetPropType<TypeTag, Properties::GridGeometry>::GridView::dimension; | ||
| 74 | |||
| 75 | public: | ||
| 76 | |||
| 77 | 16662088 | using ParentType::ParentType; | |
| 78 | |||
| 79 | 13569764 | void bindLocalViews() | |
| 80 | { | ||
| 81 | 13569764 | ParentType::bindLocalViews(); | |
| 82 | 13569764 | this->elemBcTypes().update(this->asImp_().problem(), this->element(), this->fvGeometry()); | |
| 83 | 13569764 | } | |
| 84 | |||
| 85 | |||
| 86 | /*! | ||
| 87 | * \brief Computes the derivatives with respect to the given element and adds them | ||
| 88 | * to the global matrix. The element residual is written into the right hand side. | ||
| 89 | */ | ||
| 90 | template <class ResidualVector, class PartialReassembler = DefaultPartialReassembler, class CouplingFunction = Detail::CVFE::NoOperator> | ||
| 91 | 16632986 | void assembleJacobianAndResidual(JacobianMatrix& jac, ResidualVector& res, GridVariables& gridVariables, | |
| 92 | const PartialReassembler* partialReassembler = nullptr, | ||
| 93 | const CouplingFunction& maybeAssembleCouplingBlocks = {}) | ||
| 94 | { | ||
| 95 | 16632986 | this->asImp_().bindLocalViews(); | |
| 96 | 16632986 | const auto eIdxGlobal = this->asImp_().problem().gridGeometry().elementMapper().index(this->element()); | |
| 97 | if (partialReassembler | ||
| 98 |
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12150199 | && partialReassembler->elementColor(eIdxGlobal) == EntityColor::green) |
| 99 | { | ||
| 100 | 101622 | const auto residual = this->asImp_().evalLocalResidual(); // forward to the internal implementation | |
| 101 |
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508110 | for (const auto& scv : scvs(this->fvGeometry())) |
| 102 | 812976 | res[scv.dofIndex()] += residual[scv.localDofIndex()]; | |
| 103 | |||
| 104 | // assemble the coupling blocks for coupled models (does nothing if not coupled) | ||
| 105 | maybeAssembleCouplingBlocks(residual); | ||
| 106 | } | ||
| 107 |
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16531364 | else if (!this->elementIsGhost()) |
| 108 | { | ||
| 109 | 16461860 | const auto residual = this->asImp_().assembleJacobianAndResidualImpl(jac, gridVariables, partialReassembler); // forward to the internal implementation | |
| 110 |
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70409936 | for (const auto& scv : scvs(this->fvGeometry())) |
| 111 | 91603184 | res[scv.dofIndex()] += residual[scv.localDofIndex()]; | |
| 112 | |||
| 113 | // assemble the coupling blocks for coupled models (does nothing if not coupled) | ||
| 114 | 4327926 | maybeAssembleCouplingBlocks(residual); | |
| 115 | } | ||
| 116 | else | ||
| 117 | { | ||
| 118 | // Treatment of ghost elements | ||
| 119 | 69504 | assert(this->elementIsGhost()); | |
| 120 | |||
| 121 | // handle dofs per codimension | ||
| 122 | 69504 | const auto& gridGeometry = this->asImp_().problem().gridGeometry(); | |
| 123 | 419904 | Dune::Hybrid::forEach(std::make_integer_sequence<int, dim>{}, [&](auto d) | |
| 124 | { | ||
| 125 | 139008 | constexpr int codim = dim - d; | |
| 126 | 139008 | const auto& localCoeffs = gridGeometry.feCache().get(this->element().type()).localCoefficients(); | |
| 127 |
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828060 | for (int idx = 0; idx < localCoeffs.size(); ++idx) |
| 128 | { | ||
| 129 |
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554280 | const auto& localKey = localCoeffs.localKey(idx); |
| 130 | |||
| 131 | // skip if we are not handling this codim right now | ||
| 132 |
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554280 | if (localKey.codim() != codim) |
| 133 | 414792 | continue; | |
| 134 | |||
| 135 | // do not change the non-ghost entities | ||
| 136 |
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277140 | auto entity = this->element().template subEntity<codim>(localKey.subEntity()); |
| 137 |
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282900 | if (entity.partitionType() == Dune::InteriorEntity || entity.partitionType() == Dune::BorderEntity) |
| 138 | 2880 | continue; | |
| 139 | |||
| 140 | // WARNING: this only works if the mapping from codim+subEntity to | ||
| 141 | // global dofIndex is unique (on dof per entity of this codim). | ||
| 142 | // For more general mappings, we should use a proper local-global mapping here. | ||
| 143 | // For example through dune-functions. | ||
| 144 |
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139488 | const auto dofIndex = gridGeometry.dofMapper().index(entity); |
| 145 | |||
| 146 | // this might be a vector-valued dof | ||
| 147 | using BlockType = typename JacobianMatrix::block_type; | ||
| 148 |
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139488 | BlockType &J = jac[dofIndex][dofIndex]; |
| 149 |
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478584 | for (int j = 0; j < BlockType::rows; ++j) |
| 150 | 339096 | J[j][j] = 1.0; | |
| 151 | |||
| 152 | // set residual for the ghost dof | ||
| 153 |
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271776 | res[dofIndex] = 0; |
| 154 | } | ||
| 155 | }); | ||
| 156 | } | ||
| 157 | |||
| 158 | 19988708 | auto applyDirichlet = [&] (const auto& scvI, | |
| 159 | const auto& dirichletValues, | ||
| 160 | const auto eqIdx, | ||
| 161 | const auto pvIdx) | ||
| 162 | { | ||
| 163 | 1677861 | res[scvI.dofIndex()][eqIdx] = this->curElemVolVars()[scvI].priVars()[pvIdx] - dirichletValues[pvIdx]; | |
| 164 | |||
| 165 | 1677861 | auto& row = jac[scvI.dofIndex()]; | |
| 166 |
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13976493 | for (auto col = row.begin(); col != row.end(); ++col) |
| 167 | 23189509 | row[col.index()][eqIdx] = 0.0; | |
| 168 | |||
| 169 | 1677861 | jac[scvI.dofIndex()][scvI.dofIndex()][eqIdx][pvIdx] = 1.0; | |
| 170 | |||
| 171 | // if a periodic dof has Dirichlet values also apply the same Dirichlet values to the other dof | ||
| 172 | 2529417 | if (this->asImp_().problem().gridGeometry().dofOnPeriodicBoundary(scvI.dofIndex())) | |
| 173 | { | ||
| 174 | 4 | const auto periodicDof = this->asImp_().problem().gridGeometry().periodicallyMappedDof(scvI.dofIndex()); | |
| 175 | 4 | res[periodicDof][eqIdx] = this->asImp_().curSol()[periodicDof][pvIdx] - dirichletValues[pvIdx]; | |
| 176 | |||
| 177 | 4 | auto& rowP = jac[periodicDof]; | |
| 178 |
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30 | for (auto col = rowP.begin(); col != rowP.end(); ++col) |
| 179 | 26 | rowP[col.index()][eqIdx] = 0.0; | |
| 180 | |||
| 181 | 4 | rowP[periodicDof][eqIdx][pvIdx] = 1.0; | |
| 182 | } | ||
| 183 | }; | ||
| 184 | |||
| 185 | 33265972 | this->asImp_().enforceDirichletConstraints(applyDirichlet); | |
| 186 | 16632986 | } | |
| 187 | |||
| 188 | /*! | ||
| 189 | * \brief Computes the derivatives with respect to the given element and adds them | ||
| 190 | * to the global matrix. | ||
| 191 | */ | ||
| 192 | 1136 | void assembleJacobian(JacobianMatrix& jac, GridVariables& gridVariables) | |
| 193 | { | ||
| 194 | 1136 | this->asImp_().bindLocalViews(); | |
| 195 | 1136 | this->asImp_().assembleJacobianAndResidualImpl(jac, gridVariables); // forward to the internal implementation | |
| 196 | |||
| 197 | 1816 | auto applyDirichlet = [&] (const auto& scvI, | |
| 198 | const auto& dirichletValues, | ||
| 199 | const auto eqIdx, | ||
| 200 | const auto pvIdx) | ||
| 201 | { | ||
| 202 | 336 | auto& row = jac[scvI.dofIndex()]; | |
| 203 |
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2416 | for (auto col = row.begin(); col != row.end(); ++col) |
| 204 | 2080 | row[col.index()][eqIdx] = 0.0; | |
| 205 | |||
| 206 | 336 | jac[scvI.dofIndex()][scvI.dofIndex()][eqIdx][pvIdx] = 1.0; | |
| 207 | }; | ||
| 208 | |||
| 209 | 2272 | this->asImp_().enforceDirichletConstraints(applyDirichlet); | |
| 210 | 1136 | } | |
| 211 | |||
| 212 | /*! | ||
| 213 | * \brief Assemble the residual only | ||
| 214 | */ | ||
| 215 | template <class ResidualVector> | ||
| 216 | 2820927 | void assembleResidual(ResidualVector& res) | |
| 217 | { | ||
| 218 | 2820927 | this->asImp_().bindLocalViews(); | |
| 219 | 2820927 | const auto residual = this->evalLocalResidual(); | |
| 220 | |||
| 221 |
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13747617 | for (const auto& scv : scvs(this->fvGeometry())) |
| 222 | 18773356 | res[scv.dofIndex()] += residual[scv.localDofIndex()]; | |
| 223 | |||
| 224 | 2962729 | auto applyDirichlet = [&] (const auto& scvI, | |
| 225 | const auto& dirichletValues, | ||
| 226 | const auto eqIdx, | ||
| 227 | const auto pvIdx) | ||
| 228 | { | ||
| 229 | 141802 | res[scvI.dofIndex()][eqIdx] = this->curElemVolVars()[scvI].priVars()[pvIdx] - dirichletValues[pvIdx]; | |
| 230 | }; | ||
| 231 | |||
| 232 | 5641854 | this->asImp_().enforceDirichletConstraints(applyDirichlet); | |
| 233 | 2820927 | } | |
| 234 | |||
| 235 | //! Enforce Dirichlet constraints | ||
| 236 | template<typename ApplyFunction> | ||
| 237 | 15962568 | void enforceDirichletConstraints(const ApplyFunction& applyDirichlet) | |
| 238 | { | ||
| 239 | // enforce Dirichlet boundary conditions | ||
| 240 | 15962568 | this->asImp_().evalDirichletBoundaries(applyDirichlet); | |
| 241 | // take care of internal Dirichlet constraints (if enabled) | ||
| 242 | 15956168 | this->asImp_().enforceInternalDirichletConstraints(applyDirichlet); | |
| 243 | } | ||
| 244 | |||
| 245 | /*! | ||
| 246 | * \brief Evaluates Dirichlet boundaries | ||
| 247 | */ | ||
| 248 | template< typename ApplyDirichletFunctionType > | ||
| 249 | 31907652 | void evalDirichletBoundaries(ApplyDirichletFunctionType applyDirichlet) | |
| 250 | { | ||
| 251 | // enforce Dirichlet boundaries by overwriting partial derivatives with 1 or 0 | ||
| 252 | // and set the residual to (privar - dirichletvalue) | ||
| 253 |
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31907652 | if (this->elemBcTypes().hasDirichlet()) |
| 254 | { | ||
| 255 |
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4821760 | for (const auto& scvI : scvs(this->fvGeometry())) |
| 256 | { | ||
| 257 |
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3737762 | const auto bcTypes = this->elemBcTypes().get(this->fvGeometry(), scvI); |
| 258 |
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3737762 | if (bcTypes.hasDirichlet()) |
| 259 | { | ||
| 260 |
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1787248 | const auto dirichletValues = this->asImp_().problem().dirichlet(this->element(), scvI); |
| 261 | |||
| 262 | // set the Dirichlet conditions in residual and jacobian | ||
| 263 |
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5470202 | for (int eqIdx = 0; eqIdx < numEq; ++eqIdx) |
| 264 | { | ||
| 265 |
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3682954 | if (bcTypes.isDirichlet(eqIdx)) |
| 266 | { | ||
| 267 |
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3634046 | const auto pvIdx = bcTypes.eqToDirichletIndex(eqIdx); |
| 268 |
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3634046 | assert(0 <= pvIdx && pvIdx < numEq); |
| 269 |
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3634046 | applyDirichlet(scvI, dirichletValues, eqIdx, pvIdx); |
| 270 | } | ||
| 271 | } | ||
| 272 | } | ||
| 273 | } | ||
| 274 | } | ||
| 275 | 31907652 | } | |
| 276 | |||
| 277 | /*! | ||
| 278 | * \brief Update the coupling context for coupled models. | ||
| 279 | * \note This does nothing per default (not a coupled model). | ||
| 280 | */ | ||
| 281 | template<class... Args> | ||
| 282 | void maybeUpdateCouplingContext(Args&&...) {} | ||
| 283 | |||
| 284 | /*! | ||
| 285 | * \brief Update the additional domain derivatives for coupled models. | ||
| 286 | * \note This does nothing per default (not a coupled model). | ||
| 287 | */ | ||
| 288 | template<class... Args> | ||
| 289 | void maybeEvalAdditionalDomainDerivatives(Args&&...) {} | ||
| 290 | }; | ||
| 291 | |||
| 292 | /*! | ||
| 293 | * \ingroup Assembly | ||
| 294 | * \ingroup CVFEDiscretization | ||
| 295 | * \brief An assembler for Jacobian and residual contribution per element (CVFE methods) | ||
| 296 | * \tparam TypeTag The TypeTag | ||
| 297 | * \tparam diffMethod The differentiation method to residual compute derivatives | ||
| 298 | * \tparam implicit Specifies whether the time discretization is implicit or not not (i.e. explicit) | ||
| 299 | * \tparam Implementation via CRTP | ||
| 300 | */ | ||
| 301 | template<class TypeTag, class Assembler, DiffMethod diffMethod = DiffMethod::numeric, bool implicit = true, class Implementation = void> | ||
| 302 | class CVFELocalAssembler; | ||
| 303 | |||
| 304 | /*! | ||
| 305 | * \ingroup Assembly | ||
| 306 | * \ingroup CVFEDiscretization | ||
| 307 | * \brief Control volume finite element local assembler using numeric differentiation and implicit time discretization | ||
| 308 | */ | ||
| 309 | template<class TypeTag, class Assembler, class Implementation> | ||
| 310 |
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16917130 | class CVFELocalAssembler<TypeTag, Assembler, DiffMethod::numeric, /*implicit=*/true, Implementation> |
| 311 | : public CVFELocalAssemblerBase<TypeTag, Assembler, | ||
| 312 | Detail::CVFE::Impl<Implementation, CVFELocalAssembler<TypeTag, Assembler, DiffMethod::numeric, true, Implementation>>, | ||
| 313 | true> | ||
| 314 | { | ||
| 315 | using ThisType = CVFELocalAssembler<TypeTag, Assembler, DiffMethod::numeric, true, Implementation>; | ||
| 316 | using ParentType = CVFELocalAssemblerBase<TypeTag, Assembler, Detail::CVFE::Impl<Implementation, ThisType>, true>; | ||
| 317 | using Scalar = GetPropType<TypeTag, Properties::Scalar>; | ||
| 318 | using GridVariables = GetPropType<TypeTag, Properties::GridVariables>; | ||
| 319 | using VolumeVariables = GetPropType<TypeTag, Properties::VolumeVariables>; | ||
| 320 | using JacobianMatrix = GetPropType<TypeTag, Properties::JacobianMatrix>; | ||
| 321 | |||
| 322 | static constexpr int numEq = GetPropType<TypeTag, Properties::ModelTraits>::numEq(); | ||
| 323 | static constexpr int dim = GetPropType<TypeTag, Properties::GridGeometry>::GridView::dimension; | ||
| 324 | |||
| 325 | static constexpr bool enableGridFluxVarsCache | ||
| 326 | = GridVariables::GridFluxVariablesCache::cachingEnabled; | ||
| 327 | static constexpr bool solutionDependentFluxVarsCache | ||
| 328 | = GridVariables::GridFluxVariablesCache::FluxVariablesCache::isSolDependent; | ||
| 329 | |||
| 330 | public: | ||
| 331 | |||
| 332 | using LocalResidual = typename ParentType::LocalResidual; | ||
| 333 | using ElementResidualVector = typename LocalResidual::ElementResidualVector; | ||
| 334 |
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13682112 | using ParentType::ParentType; |
| 335 | |||
| 336 | /*! | ||
| 337 | * \brief Computes the derivatives with respect to the given element and adds them | ||
| 338 | * to the global matrix. | ||
| 339 | * | ||
| 340 | * \return The element residual at the current solution. | ||
| 341 | */ | ||
| 342 | template <class PartialReassembler = DefaultPartialReassembler> | ||
| 343 | 12227870 | ElementResidualVector assembleJacobianAndResidualImpl(JacobianMatrix& A, GridVariables& gridVariables, | |
| 344 | const PartialReassembler* partialReassembler = nullptr) | ||
| 345 | { | ||
| 346 | // get some aliases for convenience | ||
| 347 | 12227870 | const auto& element = this->element(); | |
| 348 | 12227870 | const auto& fvGeometry = this->fvGeometry(); | |
| 349 | 12227870 | const auto& curSol = this->asImp_().curSol(); | |
| 350 | |||
| 351 | 12227870 | auto&& curElemVolVars = this->curElemVolVars(); | |
| 352 | 12227870 | auto&& elemFluxVarsCache = this->elemFluxVarsCache(); | |
| 353 | |||
| 354 | // get the vector of the actual element residuals | ||
| 355 | 12227870 | const auto origResiduals = this->evalLocalResidual(); | |
| 356 | |||
| 357 | ////////////////////////////////////////////////////////////////////////////////////////////////// | ||
| 358 | // // | ||
| 359 | // Calculate derivatives of all dofs in stencil with respect to the dofs in the element. In the // | ||
| 360 | // neighboring elements we do so by computing the derivatives of the fluxes which depend on the // | ||
| 361 | // actual element. In the actual element we evaluate the derivative of the entire residual. // | ||
| 362 | // // | ||
| 363 | ////////////////////////////////////////////////////////////////////////////////////////////////// | ||
| 364 | |||
| 365 | // if all volvars in the stencil have to be updated or if it's enough to only update the | ||
| 366 | // volVars for the scv whose associated dof has been deflected | ||
| 367 |
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12227870 | static const bool updateAllVolVars = getParamFromGroup<bool>( |
| 368 |
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452 | this->asImp_().problem().paramGroup(), "Assembly.BoxVolVarsDependOnAllElementDofs", false |
| 369 | ); | ||
| 370 | |||
| 371 | // create the element solution | ||
| 372 | 13942736 | auto elemSol = elementSolution(element, curSol, fvGeometry.gridGeometry()); | |
| 373 | |||
| 374 | // create the vector storing the partial derivatives | ||
| 375 | 12227870 | ElementResidualVector partialDerivs(fvGeometry.numScv()); | |
| 376 | |||
| 377 | 12227870 | Detail::VolVarsDeflectionHelper deflectionHelper( | |
| 378 | 28658638 | [&] (const auto& scv) -> VolumeVariables& { | |
| 379 | 234852218 | return this->getVolVarAccess(gridVariables.curGridVolVars(), curElemVolVars, scv); | |
| 380 | }, | ||
| 381 | fvGeometry, | ||
| 382 | updateAllVolVars | ||
| 383 | ); | ||
| 384 | |||
| 385 | // calculation of the derivatives | ||
| 386 |
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53963088 | for (const auto& scv : scvs(fvGeometry)) |
| 387 | { | ||
| 388 | // dof index and corresponding actual pri vars | ||
| 389 |
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41735218 | const auto dofIdx = scv.dofIndex(); |
| 390 | 41735218 | deflectionHelper.setCurrent(scv); | |
| 391 | |||
| 392 | // calculate derivatives w.r.t to the privars at the dof at hand | ||
| 393 |
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134019494 | for (int pvIdx = 0; pvIdx < numEq; pvIdx++) |
| 394 | { | ||
| 395 | 92284276 | partialDerivs = 0.0; | |
| 396 | |||
| 397 | 185890536 | auto evalResiduals = [&](Scalar priVar) | |
| 398 | { | ||
| 399 | // update the volume variables and compute element residual | ||
| 400 | 93606260 | elemSol[scv.localDofIndex()][pvIdx] = priVar; | |
| 401 | 93606260 | deflectionHelper.deflect(elemSol, scv, this->asImp_().problem()); | |
| 402 | if constexpr (solutionDependentFluxVarsCache) | ||
| 403 | { | ||
| 404 | 3127718 | elemFluxVarsCache.update(element, fvGeometry, curElemVolVars); | |
| 405 | if constexpr (enableGridFluxVarsCache) | ||
| 406 | gridVariables.gridFluxVarsCache().updateElement(element, fvGeometry, curElemVolVars); | ||
| 407 | } | ||
| 408 | 93606260 | this->asImp_().maybeUpdateCouplingContext(scv, elemSol, pvIdx); | |
| 409 | 93606260 | return this->evalLocalResidual(); | |
| 410 | }; | ||
| 411 | |||
| 412 | // derive the residuals numerically | ||
| 413 |
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92284276 | static const NumericEpsilon<Scalar, numEq> eps_{this->asImp_().problem().paramGroup()}; |
| 414 |
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92284276 | static const int numDiffMethod = getParamFromGroup<int>(this->asImp_().problem().paramGroup(), "Assembly.NumericDifferenceMethod"); |
| 415 |
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92284276 | NumericDifferentiation::partialDerivative(evalResiduals, elemSol[scv.localDofIndex()][pvIdx], partialDerivs, origResiduals, |
| 416 | 92284276 | eps_(elemSol[scv.localDofIndex()][pvIdx], pvIdx), numDiffMethod); | |
| 417 | |||
| 418 | // update the global stiffness matrix with the current partial derivatives | ||
| 419 |
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431994646 | for (const auto& scvJ : scvs(fvGeometry)) |
| 420 | { | ||
| 421 | // don't add derivatives for green dofs | ||
| 422 | if (!partialReassembler | ||
| 423 |
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299818798 | || partialReassembler->dofColor(scvJ.dofIndex()) != EntityColor::green) |
| 424 | { | ||
| 425 |
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1208715008 | for (int eqIdx = 0; eqIdx < numEq; eqIdx++) |
| 426 | { | ||
| 427 | // A[i][col][eqIdx][pvIdx] is the rate of change of | ||
| 428 | // the residual of equation 'eqIdx' at dof 'i' | ||
| 429 | // depending on the primary variable 'pvIdx' at dof | ||
| 430 | // 'col'. | ||
| 431 |
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869377110 | A[scvJ.dofIndex()][dofIdx][eqIdx][pvIdx] += partialDerivs[scvJ.localDofIndex()][eqIdx]; |
| 432 | } | ||
| 433 | } | ||
| 434 | } | ||
| 435 | |||
| 436 | // restore the original state of the scv's volume variables | ||
| 437 | 92284276 | deflectionHelper.restore(scv); | |
| 438 | |||
| 439 | // restore the original element solution | ||
| 440 |
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92284276 | elemSol[scv.localDofIndex()][pvIdx] = curSol[scv.dofIndex()][pvIdx]; |
| 441 |
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92341316 | this->asImp_().maybeUpdateCouplingContext(scv, elemSol, pvIdx); |
| 442 | } | ||
| 443 | } | ||
| 444 | |||
| 445 | // restore original state of the flux vars cache in case of global caching. | ||
| 446 | // In the case of local caching this is obsolete because the elemFluxVarsCache used here goes out of scope after this. | ||
| 447 | if constexpr (enableGridFluxVarsCache) | ||
| 448 | 3850564 | gridVariables.gridFluxVarsCache().updateElement(element, fvGeometry, curElemVolVars); | |
| 449 | |||
| 450 | // evaluate additional derivatives that might arise from the coupling (no-op if not coupled) | ||
| 451 | 10858843 | this->asImp_().maybeEvalAdditionalDomainDerivatives(origResiduals, A, gridVariables); | |
| 452 | |||
| 453 | 12227870 | return origResiduals; | |
| 454 | } | ||
| 455 | |||
| 456 | }; // implicit CVFEAssembler with numeric Jacobian | ||
| 457 | |||
| 458 | /*! | ||
| 459 | * \ingroup Assembly | ||
| 460 | * \ingroup CVFEDiscretization | ||
| 461 | * \brief Control volume finite element local assembler using numeric differentiation and explicit time discretization | ||
| 462 | */ | ||
| 463 | template<class TypeTag, class Assembler, class Implementation> | ||
| 464 | 1014000 | class CVFELocalAssembler<TypeTag, Assembler, DiffMethod::numeric, /*implicit=*/false, Implementation> | |
| 465 | : public CVFELocalAssemblerBase<TypeTag, Assembler, | ||
| 466 | Detail::CVFE::Impl<Implementation, CVFELocalAssembler<TypeTag, Assembler, DiffMethod::numeric, false, Implementation>>, | ||
| 467 | false> | ||
| 468 | { | ||
| 469 | using ThisType = CVFELocalAssembler<TypeTag, Assembler, DiffMethod::numeric, false, Implementation>; | ||
| 470 | using ParentType = CVFELocalAssemblerBase<TypeTag, Assembler, Detail::CVFE::Impl<Implementation, ThisType>, false>; | ||
| 471 | using Scalar = GetPropType<TypeTag, Properties::Scalar>; | ||
| 472 | using GridVariables = GetPropType<TypeTag, Properties::GridVariables>; | ||
| 473 | using VolumeVariables = GetPropType<TypeTag, Properties::VolumeVariables>; | ||
| 474 | using JacobianMatrix = GetPropType<TypeTag, Properties::JacobianMatrix>; | ||
| 475 | |||
| 476 | static constexpr int numEq = GetPropType<TypeTag, Properties::ModelTraits>::numEq(); | ||
| 477 | static constexpr int dim = GetPropType<TypeTag, Properties::GridGeometry>::GridView::dimension; | ||
| 478 | |||
| 479 | public: | ||
| 480 | |||
| 481 | using LocalResidual = typename ParentType::LocalResidual; | ||
| 482 | using ElementResidualVector = typename LocalResidual::ElementResidualVector; | ||
| 483 |
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1014000 | using ParentType::ParentType; |
| 484 | |||
| 485 | /*! | ||
| 486 | * \brief Computes the derivatives with respect to the given element and adds them | ||
| 487 | * to the global matrix. | ||
| 488 | * | ||
| 489 | * \return The element residual at the current solution. | ||
| 490 | */ | ||
| 491 | template <class PartialReassembler = DefaultPartialReassembler> | ||
| 492 | 1014000 | ElementResidualVector assembleJacobianAndResidualImpl(JacobianMatrix& A, GridVariables& gridVariables, | |
| 493 | const PartialReassembler* partialReassembler = nullptr) | ||
| 494 | { | ||
| 495 | 1014000 | if (partialReassembler) | |
| 496 | ✗ | DUNE_THROW(Dune::NotImplemented, "partial reassembly for explicit time discretization"); | |
| 497 | |||
| 498 | // get some aliases for convenience | ||
| 499 | 1014000 | const auto& element = this->element(); | |
| 500 | 1014000 | const auto& fvGeometry = this->fvGeometry(); | |
| 501 | 1014000 | const auto& curSol = this->asImp_().curSol(); | |
| 502 | 1014000 | auto&& curElemVolVars = this->curElemVolVars(); | |
| 503 | |||
| 504 | // get the vecor of the actual element residuals | ||
| 505 | 1014000 | const auto origResiduals = this->evalLocalResidual(); | |
| 506 | 1014000 | const auto origStorageResiduals = this->evalLocalStorageResidual(); | |
| 507 | |||
| 508 | ////////////////////////////////////////////////////////////////////////////////////////////////// | ||
| 509 | // // | ||
| 510 | // Calculate derivatives of all dofs in stencil with respect to the dofs in the element. In the // | ||
| 511 | // neighboring elements we do so by computing the derivatives of the fluxes which depend on the // | ||
| 512 | // actual element. In the actual element we evaluate the derivative of the entire residual. // | ||
| 513 | // // | ||
| 514 | ////////////////////////////////////////////////////////////////////////////////////////////////// | ||
| 515 | |||
| 516 | // create the element solution | ||
| 517 | 2028000 | auto elemSol = elementSolution(element, curSol, fvGeometry.gridGeometry()); | |
| 518 | |||
| 519 | // create the vector storing the partial derivatives | ||
| 520 | 2028000 | ElementResidualVector partialDerivs(fvGeometry.numScv()); | |
| 521 | |||
| 522 | // calculation of the derivatives | ||
| 523 | 4006000 | for (const auto& scv : scvs(fvGeometry)) | |
| 524 | { | ||
| 525 | // dof index and corresponding actual pri vars | ||
| 526 | 2992000 | const auto dofIdx = scv.dofIndex(); | |
| 527 | 2992000 | auto& curVolVars = this->getVolVarAccess(gridVariables.curGridVolVars(), curElemVolVars, scv); | |
| 528 | 2992000 | const VolumeVariables origVolVars(curVolVars); | |
| 529 | |||
| 530 | // calculate derivatives w.r.t to the privars at the dof at hand | ||
| 531 | 5984000 | for (int pvIdx = 0; pvIdx < numEq; pvIdx++) | |
| 532 | { | ||
| 533 | 2992000 | partialDerivs = 0.0; | |
| 534 | |||
| 535 | 5984000 | auto evalStorage = [&](Scalar priVar) | |
| 536 | { | ||
| 537 | // auto partialDerivsTmp = partialDerivs; | ||
| 538 | 2992000 | elemSol[scv.localDofIndex()][pvIdx] = priVar; | |
| 539 | 2992000 | curVolVars.update(elemSol, this->asImp_().problem(), element, scv); | |
| 540 | 2992000 | return this->evalLocalStorageResidual(); | |
| 541 | }; | ||
| 542 | |||
| 543 | // derive the residuals numerically | ||
| 544 | 2992000 | static const NumericEpsilon<Scalar, numEq> eps_{this->asImp_().problem().paramGroup()}; | |
| 545 | 2992000 | static const int numDiffMethod = getParamFromGroup<int>(this->asImp_().problem().paramGroup(), "Assembly.NumericDifferenceMethod"); | |
| 546 | 2992000 | NumericDifferentiation::partialDerivative(evalStorage, elemSol[scv.localDofIndex()][pvIdx], partialDerivs, origStorageResiduals, | |
| 547 | 2992000 | eps_(elemSol[scv.localDofIndex()][pvIdx], pvIdx), numDiffMethod); | |
| 548 | |||
| 549 | // update the global stiffness matrix with the current partial derivatives | ||
| 550 | 5984000 | for (int eqIdx = 0; eqIdx < numEq; eqIdx++) | |
| 551 | { | ||
| 552 | // A[i][col][eqIdx][pvIdx] is the rate of change of | ||
| 553 | // the residual of equation 'eqIdx' at dof 'i' | ||
| 554 | // depending on the primary variable 'pvIdx' at dof | ||
| 555 | // 'col'. | ||
| 556 | 2992000 | A[dofIdx][dofIdx][eqIdx][pvIdx] += partialDerivs[scv.localDofIndex()][eqIdx]; | |
| 557 | } | ||
| 558 | |||
| 559 | // restore the original state of the scv's volume variables | ||
| 560 | 2992000 | curVolVars = origVolVars; | |
| 561 | |||
| 562 | // restore the original element solution | ||
| 563 | 2992000 | elemSol[scv.localDofIndex()][pvIdx] = curSol[scv.dofIndex()][pvIdx]; | |
| 564 | // TODO additional dof dependencies | ||
| 565 | } | ||
| 566 | } | ||
| 567 | |||
| 568 | 1014000 | return origResiduals; | |
| 569 | } | ||
| 570 | }; // explicit CVFEAssembler with numeric Jacobian | ||
| 571 | |||
| 572 | /*! | ||
| 573 | * \ingroup Assembly | ||
| 574 | * \ingroup CVFEDiscretization | ||
| 575 | * \brief Control volume finite element local assembler using analytic differentiation and implicit time discretization | ||
| 576 | */ | ||
| 577 | template<class TypeTag, class Assembler, class Implementation> | ||
| 578 |
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1259597 | class CVFELocalAssembler<TypeTag, Assembler, DiffMethod::analytic, /*implicit=*/true, Implementation> |
| 579 | : public CVFELocalAssemblerBase<TypeTag, Assembler, | ||
| 580 | Detail::CVFE::Impl<Implementation, CVFELocalAssembler<TypeTag, Assembler, DiffMethod::analytic, true, Implementation>>, | ||
| 581 | true> | ||
| 582 | { | ||
| 583 | using ThisType = CVFELocalAssembler<TypeTag, Assembler, DiffMethod::analytic, true, Implementation>; | ||
| 584 | using ParentType = CVFELocalAssemblerBase<TypeTag, Assembler, Detail::CVFE::Impl<Implementation, ThisType>, true>; | ||
| 585 | using GridVariables = GetPropType<TypeTag, Properties::GridVariables>; | ||
| 586 | using JacobianMatrix = GetPropType<TypeTag, Properties::JacobianMatrix>; | ||
| 587 | |||
| 588 | public: | ||
| 589 | |||
| 590 | using LocalResidual = typename ParentType::LocalResidual; | ||
| 591 | using ElementResidualVector = typename LocalResidual::ElementResidualVector; | ||
| 592 |
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754597 | using ParentType::ParentType; |
| 593 | |||
| 594 | /*! | ||
| 595 | * \brief Computes the derivatives with respect to the given element and adds them | ||
| 596 | * to the global matrix. | ||
| 597 | * | ||
| 598 | * \return The element residual at the current solution. | ||
| 599 | */ | ||
| 600 | template <class PartialReassembler = DefaultPartialReassembler> | ||
| 601 | 253869 | ElementResidualVector assembleJacobianAndResidualImpl(JacobianMatrix& A, GridVariables& gridVariables, | |
| 602 | const PartialReassembler* partialReassembler = nullptr) | ||
| 603 | { | ||
| 604 |
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253869 | if (partialReassembler) |
| 605 | ✗ | DUNE_THROW(Dune::NotImplemented, "partial reassembly for analytic differentiation"); | |
| 606 | |||
| 607 | // get some aliases for convenience | ||
| 608 | 253869 | const auto& element = this->element(); | |
| 609 | 253869 | const auto& fvGeometry = this->fvGeometry(); | |
| 610 | 253869 | const auto& problem = this->asImp_().problem(); | |
| 611 | 253869 | const auto& curElemVolVars = this->curElemVolVars(); | |
| 612 | 253869 | const auto& elemFluxVarsCache = this->elemFluxVarsCache(); | |
| 613 | |||
| 614 | // get the vecor of the actual element residuals | ||
| 615 | 253869 | const auto origResiduals = this->evalLocalResidual(); | |
| 616 | |||
| 617 | ////////////////////////////////////////////////////////////////////////////////////////////////// | ||
| 618 | // // | ||
| 619 | // Calculate derivatives of all dofs in stencil with respect to the dofs in the element. In the // | ||
| 620 | // neighboring elements we do so by computing the derivatives of the fluxes which depend on the // | ||
| 621 | // actual element. In the actual element we evaluate the derivative of the entire residual. // | ||
| 622 | // // | ||
| 623 | ////////////////////////////////////////////////////////////////////////////////////////////////// | ||
| 624 | |||
| 625 | // calculation of the source and storage derivatives | ||
| 626 |
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999135 | for (const auto& scv : scvs(fvGeometry)) |
| 627 | { | ||
| 628 | // dof index and corresponding actual pri vars | ||
| 629 |
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745266 | const auto dofIdx = scv.dofIndex(); |
| 630 | 745266 | const auto& volVars = curElemVolVars[scv]; | |
| 631 | |||
| 632 | // derivative of this scv residual w.r.t the d.o.f. of the same scv (because of mass lumping) | ||
| 633 | // only if the problem is instationary we add derivative of storage term | ||
| 634 | // TODO if e.g. porosity depends on all dofs in the element, we would have off-diagonal matrix entries!? | ||
| 635 |
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745266 | if (!this->assembler().isStationaryProblem()) |
| 636 | 611000 | this->localResidual().addStorageDerivatives(A[dofIdx][dofIdx], | |
| 637 | problem, | ||
| 638 | element, | ||
| 639 | fvGeometry, | ||
| 640 | volVars, | ||
| 641 | scv); | ||
| 642 | |||
| 643 | // derivative of this scv residual w.r.t the d.o.f. of the same scv (because of mass lumping) | ||
| 644 | // add source term derivatives | ||
| 645 | 745266 | this->localResidual().addSourceDerivatives(A[dofIdx][dofIdx], | |
| 646 | problem, | ||
| 647 | element, | ||
| 648 | fvGeometry, | ||
| 649 | volVars, | ||
| 650 | scv); | ||
| 651 | } | ||
| 652 | |||
| 653 | // localJacobian[scvIdx][otherScvIdx][eqIdx][priVarIdx] of the fluxes | ||
| 654 |
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890388 | for (const auto& scvf : scvfs(fvGeometry)) |
| 655 | { | ||
| 656 |
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635914 | if (!scvf.boundary()) |
| 657 | { | ||
| 658 | // add flux term derivatives | ||
| 659 | 610161 | this->localResidual().addFluxDerivatives(A, | |
| 660 | problem, | ||
| 661 | element, | ||
| 662 | fvGeometry, | ||
| 663 | curElemVolVars, | ||
| 664 | elemFluxVarsCache, | ||
| 665 | scvf); | ||
| 666 | } | ||
| 667 | |||
| 668 | // the boundary gets special treatment to simplify | ||
| 669 | // for the user | ||
| 670 | else | ||
| 671 | { | ||
| 672 | 26358 | const auto& insideScv = fvGeometry.scv(scvf.insideScvIdx()); | |
| 673 | 26358 | if (this->elemBcTypes().get(fvGeometry, insideScv).hasNeumann()) | |
| 674 | { | ||
| 675 | // add flux term derivatives | ||
| 676 | 26358 | this->localResidual().addRobinFluxDerivatives(A[insideScv.dofIndex()], | |
| 677 | problem, | ||
| 678 | element, | ||
| 679 | fvGeometry, | ||
| 680 | curElemVolVars, | ||
| 681 | elemFluxVarsCache, | ||
| 682 | scvf); | ||
| 683 | } | ||
| 684 | } | ||
| 685 | } | ||
| 686 | |||
| 687 | 253869 | return origResiduals; | |
| 688 | } | ||
| 689 | |||
| 690 | }; // implicit CVFEAssembler with analytic Jacobian | ||
| 691 | |||
| 692 | /*! | ||
| 693 | * \ingroup Assembly | ||
| 694 | * \ingroup CVFEDiscretization | ||
| 695 | * \brief Control volume finite element local assembler using analytic differentiation and explicit time discretization | ||
| 696 | */ | ||
| 697 | template<class TypeTag, class Assembler, class Implementation> | ||
| 698 |
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1010000 | class CVFELocalAssembler<TypeTag, Assembler, DiffMethod::analytic, /*implicit=*/false, Implementation> |
| 699 | : public CVFELocalAssemblerBase<TypeTag, Assembler, | ||
| 700 | Detail::CVFE::Impl<Implementation, CVFELocalAssembler<TypeTag, Assembler, DiffMethod::analytic, false, Implementation>>, | ||
| 701 | false> | ||
| 702 | { | ||
| 703 | using ThisType = CVFELocalAssembler<TypeTag, Assembler, DiffMethod::analytic, false, Implementation>; | ||
| 704 | using ParentType = CVFELocalAssemblerBase<TypeTag, Assembler, Detail::CVFE::Impl<Implementation, ThisType>, false>; | ||
| 705 | using GridVariables = GetPropType<TypeTag, Properties::GridVariables>; | ||
| 706 | using JacobianMatrix = GetPropType<TypeTag, Properties::JacobianMatrix>; | ||
| 707 | |||
| 708 | public: | ||
| 709 | |||
| 710 | using LocalResidual = typename ParentType::LocalResidual; | ||
| 711 | using ElementResidualVector = typename LocalResidual::ElementResidualVector; | ||
| 712 |
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505000 | using ParentType::ParentType; |
| 713 | |||
| 714 | /*! | ||
| 715 | * \brief Computes the derivatives with respect to the given element and adds them | ||
| 716 | * to the global matrix. | ||
| 717 | * | ||
| 718 | * \return The element residual at the current solution. | ||
| 719 | */ | ||
| 720 | template <class PartialReassembler = DefaultPartialReassembler> | ||
| 721 | 5000 | ElementResidualVector assembleJacobianAndResidualImpl(JacobianMatrix& A, GridVariables& gridVariables, | |
| 722 | const PartialReassembler* partialReassembler = nullptr) | ||
| 723 | { | ||
| 724 |
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5000 | if (partialReassembler) |
| 725 | ✗ | DUNE_THROW(Dune::NotImplemented, "partial reassembly for explicit time discretization"); | |
| 726 | |||
| 727 | // get some aliases for convenience | ||
| 728 | 5000 | const auto& element = this->element(); | |
| 729 | 5000 | const auto& fvGeometry = this->fvGeometry(); | |
| 730 | 5000 | const auto& problem = this->asImp_().problem(); | |
| 731 | 5000 | const auto& curElemVolVars = this->curElemVolVars(); | |
| 732 | |||
| 733 | // get the vecor of the actual element residuals | ||
| 734 | 5000 | const auto origResiduals = this->evalLocalResidual(); | |
| 735 | |||
| 736 | ////////////////////////////////////////////////////////////////////////////////////////////////// | ||
| 737 | // // | ||
| 738 | // Calculate derivatives of all dofs in stencil with respect to the dofs in the element. In the // | ||
| 739 | // neighboring elements we do so by computing the derivatives of the fluxes which depend on the // | ||
| 740 | // actual element. In the actual element we evaluate the derivative of the entire residual. // | ||
| 741 | // // | ||
| 742 | ////////////////////////////////////////////////////////////////////////////////////////////////// | ||
| 743 | |||
| 744 | // calculation of the source and storage derivatives | ||
| 745 |
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25000 | for (const auto& scv : scvs(fvGeometry)) |
| 746 | { | ||
| 747 | // dof index and corresponding actual pri vars | ||
| 748 | 20000 | const auto dofIdx = scv.dofIndex(); | |
| 749 | 20000 | const auto& volVars = curElemVolVars[scv]; | |
| 750 | |||
| 751 | // derivative of this scv residual w.r.t the d.o.f. of the same scv (because of mass lumping) | ||
| 752 | // only if the problem is instationary we add derivative of storage term | ||
| 753 | 20000 | this->localResidual().addStorageDerivatives(A[dofIdx][dofIdx], | |
| 754 | problem, | ||
| 755 | element, | ||
| 756 | fvGeometry, | ||
| 757 | volVars, | ||
| 758 | scv); | ||
| 759 | } | ||
| 760 | |||
| 761 | 5000 | return origResiduals; | |
| 762 | } | ||
| 763 | |||
| 764 | }; // explicit CVFEAssembler with analytic Jacobian | ||
| 765 | |||
| 766 | } // end namespace Dumux | ||
| 767 | |||
| 768 | #endif | ||
| 769 |