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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 Experimental | ||
| 10 | * \ingroup Assembly | ||
| 11 | * \ingroup CVFEDiscretization | ||
| 12 | * \brief An assembler for Jacobian and residual contribution per element (CVFE methods) | ||
| 13 | */ | ||
| 14 | #ifndef DUMUX_EXPERIMENTAL_CVFE_LOCAL_ASSEMBLER_HH | ||
| 15 | #define DUMUX_EXPERIMENTAL_CVFE_LOCAL_ASSEMBLER_HH | ||
| 16 | |||
| 17 | #include <dune/common/exceptions.hh> | ||
| 18 | #include <dune/common/hybridutilities.hh> | ||
| 19 | #include <dune/common/reservedvector.hh> | ||
| 20 | #include <dune/grid/common/gridenums.hh> | ||
| 21 | #include <dune/istl/matrixindexset.hh> | ||
| 22 | #include <dune/istl/bvector.hh> | ||
| 23 | |||
| 24 | #include <dumux/common/typetraits/typetraits.hh> | ||
| 25 | #include <dumux/common/properties.hh> | ||
| 26 | #include <dumux/common/parameters.hh> | ||
| 27 | #include <dumux/common/numericdifferentiation.hh> | ||
| 28 | #include <dumux/common/typetraits/localdofs_.hh> | ||
| 29 | |||
| 30 | #include <dumux/assembly/numericepsilon.hh> | ||
| 31 | #include <dumux/assembly/diffmethod.hh> | ||
| 32 | #include <dumux/experimental/assembly/fvlocalassemblerbase.hh> | ||
| 33 | #include <dumux/assembly/partialreassembler.hh> | ||
| 34 | #include <dumux/assembly/entitycolor.hh> | ||
| 35 | |||
| 36 | #include <dumux/discretization/cvfe/elementsolution.hh> | ||
| 37 | #include <dumux/discretization/cvfe/localdof.hh> | ||
| 38 | |||
| 39 | #include <dumux/assembly/cvfevolvarsdeflectionpolicy_.hh> | ||
| 40 | |||
| 41 | namespace Dumux::Experimental { | ||
| 42 | |||
| 43 | /*! | ||
| 44 | * \ingroup Experimental | ||
| 45 | * \ingroup Assembly | ||
| 46 | * \ingroup CVFEDiscretization | ||
| 47 | * \brief A base class for all local CVFE assemblers | ||
| 48 | * \tparam TypeTag The TypeTag | ||
| 49 | * \tparam Assembler The assembler type | ||
| 50 | * \tparam Implementation The actual implementation | ||
| 51 | */ | ||
| 52 | template<class TypeTag, class Assembler, class Implementation> | ||
| 53 | 51968 | class CVFELocalAssemblerBase : public Experimental::FVLocalAssemblerBase<TypeTag, Assembler, Implementation> | |
| 54 | { | ||
| 55 | using ParentType = Experimental::FVLocalAssemblerBase<TypeTag, Assembler, Implementation>; | ||
| 56 | using JacobianMatrix = GetPropType<TypeTag, Properties::JacobianMatrix>; | ||
| 57 | using GridVariables = GetPropType<TypeTag, Properties::GridVariables>; | ||
| 58 | using Problem = GetPropType<TypeTag, Properties::Problem>; | ||
| 59 | using ElementVolumeVariables = typename GridVariables::GridVolumeVariables::LocalView; | ||
| 60 | using SolutionVector = typename Assembler::SolutionVector; | ||
| 61 | |||
| 62 | static constexpr int numEq = GetPropType<TypeTag, Properties::ModelTraits>::numEq(); | ||
| 63 | static constexpr int dim = GetPropType<TypeTag, Properties::GridGeometry>::GridView::dimension; | ||
| 64 | |||
| 65 | public: | ||
| 66 | |||
| 67 | 38528 | using ParentType::ParentType; | |
| 68 | |||
| 69 | using LocalResidual = typename ParentType::LocalResidual; | ||
| 70 | using ElementResidualVector = typename LocalResidual::ElementResidualVector; | ||
| 71 | |||
| 72 | |||
| 73 | 33792 | void bindLocalViews() | |
| 74 | { | ||
| 75 | 33792 | ParentType::bindLocalViews(); | |
| 76 | 33792 | this->elemBcTypes().update(this->asImp_().problem(), this->element(), this->fvGeometry()); | |
| 77 | 33792 | } | |
| 78 | |||
| 79 | /*! | ||
| 80 | * \brief Computes the derivatives with respect to the given element and adds them | ||
| 81 | * to the global matrix. The element residual is written into the right hand side. | ||
| 82 | */ | ||
| 83 | template <class ResidualVector, class StageParams, class PartialReassembler = DefaultPartialReassembler, class CouplingFunction = Noop> | ||
| 84 | 29568 | void assembleJacobianAndResidual(JacobianMatrix& jac, ResidualVector& res, GridVariables& gridVariables, | |
| 85 | const StageParams& stageParams, ResidualVector& temporal, ResidualVector& spatial, | ||
| 86 | ResidualVector& constrainedDofs, | ||
| 87 | const PartialReassembler* partialReassembler = nullptr, | ||
| 88 | const CouplingFunction& maybeAssembleCouplingBlocks = noop) | ||
| 89 | { | ||
| 90 | 29568 | this->asImp_().bindLocalViews(); | |
| 91 | 29568 | const auto eIdxGlobal = this->asImp_().problem().gridGeometry().elementMapper().index(this->element()); | |
| 92 | |||
| 93 | 29568 | this->localResidual().spatialWeight(1.0); | |
| 94 | 29568 | this->localResidual().temporalWeight(1.0); | |
| 95 | |||
| 96 | 29568 | const auto sWeight = stageParams.spatialWeight(stageParams.size()-1); | |
| 97 | 29568 | const auto tWeight = stageParams.temporalWeight(stageParams.size()-1); | |
| 98 | |||
| 99 | 29568 | const auto flux = this->evalLocalFluxAndSourceResidual(this->curElemVolVars()); | |
| 100 | 29568 | const auto storage = this->localResidual().evalStorage(this->fvGeometry(), this->curElemVolVars()); | |
| 101 | 29568 | ElementResidualVector origResidual(flux.size()); | |
| 102 | 29568 | origResidual = 0.0; | |
| 103 |
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161664 | for (const auto& scv : scvs(this->fvGeometry())) |
| 104 | { | ||
| 105 | 132096 | spatial[scv.dofIndex()] += flux[scv.localDofIndex()]; | |
| 106 | 132096 | temporal[scv.dofIndex()] += storage[scv.localDofIndex()]; | |
| 107 | 528384 | origResidual[scv.localDofIndex()] += flux[scv.localDofIndex()]*sWeight + storage[scv.localDofIndex()]*tWeight; | |
| 108 | 264192 | res[scv.dofIndex()] += origResidual[scv.localDofIndex()]; | |
| 109 | } | ||
| 110 | |||
| 111 |
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29568 | this->localResidual().spatialWeight(sWeight); |
| 112 |
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29568 | this->localResidual().temporalWeight(tWeight); |
| 113 | |||
| 114 |
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26112 | if (partialReassembler && partialReassembler->elementColor(eIdxGlobal) == EntityColor::green) |
| 115 | { | ||
| 116 | // assemble the coupling blocks for coupled models (does nothing if not coupled) | ||
| 117 | 26112 | maybeAssembleCouplingBlocks(origResidual); | |
| 118 | } | ||
| 119 |
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29568 | else if (!this->elementIsGhost()) |
| 120 | { | ||
| 121 | 29568 | this->asImp_().assembleJacobian(jac, gridVariables, origResidual, partialReassembler); // forward to the internal implementation | |
| 122 | |||
| 123 | // assemble the coupling blocks for coupled models (does nothing if not coupled) | ||
| 124 | 29568 | maybeAssembleCouplingBlocks(origResidual); | |
| 125 | } | ||
| 126 | else | ||
| 127 | { | ||
| 128 | // Treatment of ghost elements | ||
| 129 | ✗ | assert(this->elementIsGhost()); | |
| 130 | |||
| 131 | // handle dofs per codimension | ||
| 132 | ✗ | const auto& gridGeometry = this->asImp_().problem().gridGeometry(); | |
| 133 | ✗ | Dune::Hybrid::forEach(std::make_integer_sequence<int, dim>{}, [&](auto d) | |
| 134 | { | ||
| 135 | ✗ | constexpr int codim = dim - d; | |
| 136 | ✗ | const auto& localCoeffs = gridGeometry.feCache().get(this->element().type()).localCoefficients(); | |
| 137 | ✗ | for (int idx = 0; idx < localCoeffs.size(); ++idx) | |
| 138 | { | ||
| 139 | ✗ | const auto& localKey = localCoeffs.localKey(idx); | |
| 140 | |||
| 141 | // skip if we are not handling this codim right now | ||
| 142 | ✗ | if (localKey.codim() != codim) | |
| 143 | ✗ | continue; | |
| 144 | |||
| 145 | // do not change the non-ghost entities | ||
| 146 | ✗ | auto entity = this->element().template subEntity<codim>(localKey.subEntity()); | |
| 147 | ✗ | if (entity.partitionType() == Dune::InteriorEntity || entity.partitionType() == Dune::BorderEntity) | |
| 148 | ✗ | continue; | |
| 149 | |||
| 150 | // WARNING: this only works if the mapping from codim+subEntity to | ||
| 151 | // global dofIndex is unique (on dof per entity of this codim). | ||
| 152 | // For more general mappings, we should use a proper local-global mapping here. | ||
| 153 | // For example through dune-functions. | ||
| 154 | ✗ | const auto dofIndex = gridGeometry.dofMapper().index(entity); | |
| 155 | |||
| 156 | // this might be a vector-valued dof | ||
| 157 | using BlockType = typename JacobianMatrix::block_type; | ||
| 158 | ✗ | BlockType &J = jac[dofIndex][dofIndex]; | |
| 159 | ✗ | for (int j = 0; j < BlockType::rows; ++j) | |
| 160 | ✗ | J[j][j] = 1.0; | |
| 161 | |||
| 162 | // set residual for the ghost dof | ||
| 163 | ✗ | res[dofIndex] = 0; | |
| 164 | ✗ | constrainedDofs[dofIndex] = 1; | |
| 165 | } | ||
| 166 | }); | ||
| 167 | } | ||
| 168 | |||
| 169 | 134176 | auto applyDirichlet = [&] (const auto& scvI, | |
| 170 | const auto& dirichletValues, | ||
| 171 | const auto eqIdx, | ||
| 172 | const auto pvIdx) | ||
| 173 | { | ||
| 174 | 52304 | res[scvI.dofIndex()][eqIdx] = this->curElemVolVars()[scvI].priVars()[pvIdx] - dirichletValues[pvIdx]; | |
| 175 | 52304 | constrainedDofs[scvI.dofIndex()][eqIdx] = 1; | |
| 176 | |||
| 177 | 52304 | auto& row = jac[scvI.dofIndex()]; | |
| 178 |
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858064 | for (auto col = row.begin(); col != row.end(); ++col) |
| 179 | 1611520 | row[col.index()][eqIdx] = 0.0; | |
| 180 | |||
| 181 | 52304 | jac[scvI.dofIndex()][scvI.dofIndex()][eqIdx][pvIdx] = 1.0; | |
| 182 | |||
| 183 | // if a periodic dof has Dirichlet values also apply the same Dirichlet values to the other dof | ||
| 184 | 104608 | if (this->asImp_().problem().gridGeometry().dofOnPeriodicBoundary(scvI.dofIndex())) | |
| 185 | { | ||
| 186 | ✗ | const auto periodicDof = this->asImp_().problem().gridGeometry().periodicallyMappedDof(scvI.dofIndex()); | |
| 187 | ✗ | res[periodicDof][eqIdx] = this->curElemVolVars()[scvI].priVars()[pvIdx] - dirichletValues[pvIdx]; | |
| 188 | ✗ | constrainedDofs[periodicDof][eqIdx] = 1; | |
| 189 | ✗ | const auto end = jac[periodicDof].end(); | |
| 190 | ✗ | for (auto it = jac[periodicDof].begin(); it != end; ++it) | |
| 191 | ✗ | (*it) = periodicDof != it.index() ? 0.0 : 1.0; | |
| 192 | } | ||
| 193 | }; | ||
| 194 | |||
| 195 | 59136 | this->asImp_().enforceDirichletConstraints(applyDirichlet); | |
| 196 | 29568 | } | |
| 197 | |||
| 198 | /*! | ||
| 199 | * \brief Computes the derivatives with respect to the given element and adds them | ||
| 200 | * to the global matrix. | ||
| 201 | */ | ||
| 202 | void assembleJacobian(JacobianMatrix& jac, GridVariables& gridVariables) | ||
| 203 | { | ||
| 204 | this->asImp_().bindLocalViews(); | ||
| 205 | this->asImp_().assembleJacobian(jac, gridVariables); // forward to the internal implementation | ||
| 206 | |||
| 207 | auto applyDirichlet = [&] (const auto& scvI, | ||
| 208 | const auto& dirichletValues, | ||
| 209 | const auto eqIdx, | ||
| 210 | const auto pvIdx) | ||
| 211 | { | ||
| 212 | auto& row = jac[scvI.dofIndex()]; | ||
| 213 | for (auto col = row.begin(); col != row.end(); ++col) | ||
| 214 | row[col.index()][eqIdx] = 0.0; | ||
| 215 | |||
| 216 | jac[scvI.dofIndex()][scvI.dofIndex()][eqIdx][pvIdx] = 1.0; | ||
| 217 | }; | ||
| 218 | |||
| 219 | this->asImp_().enforceDirichletConstraints(applyDirichlet); | ||
| 220 | } | ||
| 221 | |||
| 222 | /*! | ||
| 223 | * \brief Assemble the residual only | ||
| 224 | */ | ||
| 225 | template <class ResidualVector> | ||
| 226 | void assembleResidual(ResidualVector& res) | ||
| 227 | { | ||
| 228 | this->asImp_().bindLocalViews(); | ||
| 229 | const auto residual = this->evalLocalResidual(); | ||
| 230 | |||
| 231 | for (const auto& localDof : localDofs(this->fvGeometry())) | ||
| 232 | res[localDof.dofIndex()] += residual[localDof.index()]; | ||
| 233 | |||
| 234 | auto applyDirichlet = [&] (const auto& scvI, | ||
| 235 | const auto& dirichletValues, | ||
| 236 | const auto eqIdx, | ||
| 237 | const auto pvIdx) | ||
| 238 | { | ||
| 239 | res[scvI.dofIndex()][eqIdx] = this->curElemVolVars()[scvI].priVars()[pvIdx] - dirichletValues[pvIdx]; | ||
| 240 | }; | ||
| 241 | |||
| 242 | this->asImp_().enforceDirichletConstraints(applyDirichlet); | ||
| 243 | } | ||
| 244 | |||
| 245 | /*! | ||
| 246 | * \brief Assemble the residual only | ||
| 247 | */ | ||
| 248 | template<class ResidualVector> | ||
| 249 | 8960 | void assembleCurrentResidual(ResidualVector& spatialRes, ResidualVector& temporalRes) | |
| 250 | { | ||
| 251 | 8960 | this->asImp_().bindLocalViews(); | |
| 252 | 8960 | const auto flux = this->evalLocalFluxAndSourceResidual(this->curElemVolVars()); | |
| 253 | 8960 | const auto storage = this->localResidual().evalStorage(this->fvGeometry(), this->curElemVolVars()); | |
| 254 |
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49920 | for (const auto& scv : scvs(this->fvGeometry())) |
| 255 | { | ||
| 256 | 40960 | spatialRes[scv.dofIndex()] += flux[scv.localDofIndex()]; | |
| 257 | 81920 | temporalRes[scv.dofIndex()] += storage[scv.localDofIndex()]; | |
| 258 | } | ||
| 259 | 8960 | } | |
| 260 | |||
| 261 | //! Enforce Dirichlet constraints | ||
| 262 | template<typename ApplyFunction> | ||
| 263 | 29568 | void enforceDirichletConstraints(const ApplyFunction& applyDirichlet) | |
| 264 | { | ||
| 265 | // enforce Dirichlet boundary conditions | ||
| 266 | 29568 | this->asImp_().evalDirichletBoundaries(applyDirichlet); | |
| 267 | // take care of internal Dirichlet constraints (if enabled) | ||
| 268 | 29568 | this->asImp_().enforceInternalDirichletConstraints(applyDirichlet); | |
| 269 | } | ||
| 270 | |||
| 271 | /*! | ||
| 272 | * \brief Evaluates Dirichlet boundaries | ||
| 273 | */ | ||
| 274 | template< typename ApplyDirichletFunctionType > | ||
| 275 | 29568 | void evalDirichletBoundaries(ApplyDirichletFunctionType applyDirichlet) | |
| 276 | { | ||
| 277 | // enforce Dirichlet boundaries by overwriting partial derivatives with 1 or 0 | ||
| 278 | // and set the residual to (privar - dirichletvalue) | ||
| 279 |
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29568 | if (this->elemBcTypes().hasDirichlet()) |
| 280 | { | ||
| 281 |
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32656 | for (const auto& scvI : scvs(this->fvGeometry())) |
| 282 | { | ||
| 283 |
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28544 | const auto bcTypes = this->elemBcTypes().get(this->fvGeometry(), scvI); |
| 284 |
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28544 | if (bcTypes.hasDirichlet()) |
| 285 | { | ||
| 286 |
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18160 | const auto dirichletValues = this->asImp_().problem().dirichlet(this->element(), scvI); |
| 287 | |||
| 288 | // set the Dirichlet conditions in residual and jacobian | ||
| 289 |
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70464 | for (int eqIdx = 0; eqIdx < numEq; ++eqIdx) |
| 290 | { | ||
| 291 |
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52304 | if (bcTypes.isDirichlet(eqIdx)) |
| 292 | { | ||
| 293 |
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52304 | const auto pvIdx = bcTypes.eqToDirichletIndex(eqIdx); |
| 294 |
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52304 | assert(0 <= pvIdx && pvIdx < numEq); |
| 295 |
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52304 | applyDirichlet(scvI, dirichletValues, eqIdx, pvIdx); |
| 296 | } | ||
| 297 | } | ||
| 298 | } | ||
| 299 | } | ||
| 300 | } | ||
| 301 | 29568 | } | |
| 302 | |||
| 303 | /*! | ||
| 304 | * \brief Update the coupling context for coupled models. | ||
| 305 | * \note This does nothing per default (not a coupled model). | ||
| 306 | */ | ||
| 307 | template<class... Args> | ||
| 308 | void maybeUpdateCouplingContext(Args&&...) {} | ||
| 309 | |||
| 310 | /*! | ||
| 311 | * \brief Update the additional domain derivatives for coupled models. | ||
| 312 | * \note This does nothing per default (not a coupled model). | ||
| 313 | */ | ||
| 314 | template<class... Args> | ||
| 315 | void maybeEvalAdditionalDomainDerivatives(Args&&...) {} | ||
| 316 | }; | ||
| 317 | |||
| 318 | /*! | ||
| 319 | * \ingroup Experimental | ||
| 320 | * \ingroup Assembly | ||
| 321 | * \ingroup CVFEDiscretization | ||
| 322 | * \brief An assembler for Jacobian and residual contribution per element (CVFE methods) | ||
| 323 | * \tparam TypeTag The TypeTag | ||
| 324 | * \tparam diffMethod The differentiation method to residual compute derivatives | ||
| 325 | * \tparam Implementation via CRTP | ||
| 326 | */ | ||
| 327 | template<class TypeTag, class Assembler, DiffMethod diffMethod = DiffMethod::numeric, class Implementation = void> | ||
| 328 | class CVFELocalAssembler; | ||
| 329 | |||
| 330 | /*! | ||
| 331 | * \ingroup Experimental | ||
| 332 | * \ingroup Assembly | ||
| 333 | * \ingroup CVFEDiscretization | ||
| 334 | * \brief Control volume finite element local assembler using numeric differentiation | ||
| 335 | */ | ||
| 336 | template<class TypeTag, class Assembler, class Implementation> | ||
| 337 |
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51968 | class CVFELocalAssembler<TypeTag, Assembler, DiffMethod::numeric, Implementation> |
| 338 | : public CVFELocalAssemblerBase<TypeTag, Assembler, | ||
| 339 | NonVoidOr<CVFELocalAssembler<TypeTag, Assembler, DiffMethod::numeric, Implementation>, Implementation>> | ||
| 340 | { | ||
| 341 | using ThisType = CVFELocalAssembler<TypeTag, Assembler, DiffMethod::numeric, Implementation>; | ||
| 342 | using ParentType = CVFELocalAssemblerBase<TypeTag, Assembler, NonVoidOr<ThisType, Implementation>>; | ||
| 343 | using Scalar = GetPropType<TypeTag, Properties::Scalar>; | ||
| 344 | using GridVariables = GetPropType<TypeTag, Properties::GridVariables>; | ||
| 345 | using ElementVolumeVariables = typename GridVariables::GridVolumeVariables::LocalView; | ||
| 346 | using VolumeVariables = GetPropType<TypeTag, Properties::VolumeVariables>; | ||
| 347 | using JacobianMatrix = GetPropType<TypeTag, Properties::JacobianMatrix>; | ||
| 348 | |||
| 349 | static constexpr int numEq = GetPropType<TypeTag, Properties::ModelTraits>::numEq(); | ||
| 350 | static constexpr int dim = GetPropType<TypeTag, Properties::GridGeometry>::GridView::dimension; | ||
| 351 | |||
| 352 | static constexpr bool enableGridFluxVarsCache | ||
| 353 | = GridVariables::GridFluxVariablesCache::cachingEnabled; | ||
| 354 | static constexpr bool solutionDependentFluxVarsCache | ||
| 355 | = GridVariables::GridFluxVariablesCache::FluxVariablesCache::isSolDependent; | ||
| 356 | |||
| 357 | public: | ||
| 358 | |||
| 359 | using LocalResidual = typename ParentType::LocalResidual; | ||
| 360 | using ElementResidualVector = typename LocalResidual::ElementResidualVector; | ||
| 361 |
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38528 | using ParentType::ParentType; |
| 362 | |||
| 363 | template <class PartialReassembler = DefaultPartialReassembler> | ||
| 364 | 29568 | void assembleJacobian(JacobianMatrix& A, GridVariables& gridVariables, | |
| 365 | const ElementResidualVector& origResiduals, | ||
| 366 | const PartialReassembler* partialReassembler = nullptr) | ||
| 367 | { | ||
| 368 |
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29568 | if (this->isImplicit()) |
| 369 | 29568 | assembleJacobianImplicit_(A, gridVariables, origResiduals, partialReassembler); | |
| 370 | else | ||
| 371 | ✗ | assembleJacobianExplicit_(A, gridVariables, origResiduals, partialReassembler); | |
| 372 | 29568 | } | |
| 373 | |||
| 374 | private: | ||
| 375 | /*! | ||
| 376 | * \brief Computes the derivatives with respect to the given element and adds them | ||
| 377 | * to the global matrix. | ||
| 378 | * | ||
| 379 | * \return The element residual at the current solution. | ||
| 380 | */ | ||
| 381 | template <class PartialReassembler = DefaultPartialReassembler> | ||
| 382 | 29568 | void assembleJacobianImplicit_(JacobianMatrix& A, GridVariables& gridVariables, | |
| 383 | const ElementResidualVector& origResiduals, | ||
| 384 | const PartialReassembler* partialReassembler = nullptr) | ||
| 385 | { | ||
| 386 | // get some aliases for convenience | ||
| 387 |
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29568 | const auto& element = this->element(); |
| 388 |
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29568 | const auto& fvGeometry = this->fvGeometry(); |
| 389 |
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29568 | const auto& curSol = this->asImp_().curSol(); |
| 390 | |||
| 391 |
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29568 | auto&& curElemVolVars = this->curElemVolVars(); |
| 392 |
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29568 | auto&& elemFluxVarsCache = this->elemFluxVarsCache(); |
| 393 | |||
| 394 | ////////////////////////////////////////////////////////////////////////////////////////////////// | ||
| 395 | // // | ||
| 396 | // Calculate derivatives of all dofs in stencil with respect to the dofs in the element. In the // | ||
| 397 | // neighboring elements we do so by computing the derivatives of the fluxes which depend on the // | ||
| 398 | // actual element. In the actual element we evaluate the derivative of the entire residual. // | ||
| 399 | // // | ||
| 400 | ////////////////////////////////////////////////////////////////////////////////////////////////// | ||
| 401 | |||
| 402 | // if all volvars in the stencil have to be updated or if it's enough to only update the | ||
| 403 | // volVars for the scv whose associated dof has been deflected | ||
| 404 |
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29568 | static const bool updateAllVolVars = getParamFromGroup<bool>( |
| 405 |
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10 | this->asImp_().problem().paramGroup(), "Assembly.BoxVolVarsDependOnAllElementDofs", false |
| 406 | ); | ||
| 407 | |||
| 408 | // create the element solution | ||
| 409 | 29568 | auto elemSol = elementSolution(element, curSol, fvGeometry.gridGeometry()); | |
| 410 | |||
| 411 | // create the vector storing the partial derivatives | ||
| 412 | 29568 | ElementResidualVector partialDerivs(Dumux::Detail::LocalDofs::numLocalDofs(fvGeometry)); | |
| 413 | |||
| 414 | 29568 | auto deflectionPolicy = Detail::CVFE::makeVariablesDeflectionPolicy( | |
| 415 | 29568 | gridVariables.curGridVolVars(), | |
| 416 | curElemVolVars, | ||
| 417 | fvGeometry, | ||
| 418 | updateAllVolVars | ||
| 419 | ); | ||
| 420 | |||
| 421 | 293760 | auto assembleDerivative = [&, this](const auto& localDof) | |
| 422 | { | ||
| 423 | // dof index and corresponding actual pri vars | ||
| 424 | 132096 | const auto dofIdx = localDof.dofIndex(); | |
| 425 | 132096 | const auto localIdx = localDof.index(); | |
| 426 | 132096 | deflectionPolicy.store(localDof); | |
| 427 | |||
| 428 | // calculate derivatives w.r.t to the privars at the dof at hand | ||
| 429 |
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423936 | for (int pvIdx = 0; pvIdx < numEq; pvIdx++) |
| 430 | { | ||
| 431 | 291840 | partialDerivs = 0.0; | |
| 432 | |||
| 433 | 583680 | auto evalResiduals = [&](Scalar priVar) | |
| 434 | { | ||
| 435 | // update the volume variables and compute element residual | ||
| 436 | 291840 | elemSol[localIdx][pvIdx] = priVar; | |
| 437 | 291840 | deflectionPolicy.update(elemSol, localDof, this->asImp_().problem()); | |
| 438 | if constexpr (solutionDependentFluxVarsCache) | ||
| 439 | { | ||
| 440 | elemFluxVarsCache.update(element, fvGeometry, curElemVolVars); | ||
| 441 | if constexpr (enableGridFluxVarsCache) | ||
| 442 | gridVariables.gridFluxVarsCache().updateElement(element, fvGeometry, curElemVolVars); | ||
| 443 | } | ||
| 444 | 291840 | this->asImp_().maybeUpdateCouplingContext(localDof, elemSol, pvIdx); | |
| 445 | 291840 | return this->evalLocalResidual(); | |
| 446 | }; | ||
| 447 | |||
| 448 | // derive the residuals numerically | ||
| 449 |
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291840 | static const NumericEpsilon<Scalar, numEq> eps_{this->asImp_().problem().paramGroup()}; |
| 450 |
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291840 | static const int numDiffMethod = getParamFromGroup<int>(this->asImp_().problem().paramGroup(), "Assembly.NumericDifferenceMethod"); |
| 451 |
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291840 | NumericDifferentiation::partialDerivative(evalResiduals, elemSol[localIdx][pvIdx], partialDerivs, origResiduals, |
| 452 | 291840 | eps_(elemSol[localIdx][pvIdx], pvIdx), numDiffMethod); | |
| 453 | |||
| 454 | // update the global stiffness matrix with the current partial derivatives | ||
| 455 |
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1790976 | for (const auto& localDofJ : localDofs(fvGeometry)) |
| 456 | { | ||
| 457 | // don't add derivatives for green dofs | ||
| 458 | 835584 | if (!partialReassembler | |
| 459 |
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835584 | || partialReassembler->dofColor(localDofJ.dofIndex()) != EntityColor::green) |
| 460 | { | ||
| 461 |
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5160960 | for (int eqIdx = 0; eqIdx < numEq; eqIdx++) |
| 462 | { | ||
| 463 | // A[i][col][eqIdx][pvIdx] is the rate of change of | ||
| 464 | // the residual of equation 'eqIdx' at dof 'i' | ||
| 465 | // depending on the primary variable 'pvIdx' at dof | ||
| 466 | // 'col'. | ||
| 467 |
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3661824 | A[localDofJ.dofIndex()][dofIdx][eqIdx][pvIdx] += partialDerivs[localDofJ.index()][eqIdx]; |
| 468 | } | ||
| 469 | } | ||
| 470 | } | ||
| 471 | |||
| 472 | // restore the original state of the scv's volume variables | ||
| 473 | 291840 | deflectionPolicy.restore(localDof); | |
| 474 | |||
| 475 | // restore the original element solution | ||
| 476 |
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291840 | elemSol[localIdx][pvIdx] = curSol[localDof.dofIndex()][pvIdx]; |
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291840 | this->asImp_().maybeUpdateCouplingContext(localDof, elemSol, pvIdx); |
| 478 | } | ||
| 479 | }; | ||
| 480 | |||
| 481 | // calculation of the derivatives | ||
| 482 |
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161664 | for (const auto& localDof : localDofs(fvGeometry)) |
| 483 | 132096 | assembleDerivative(localDof); | |
| 484 | |||
| 485 | // restore original state of the flux vars cache in case of global caching. | ||
| 486 | // In the case of local caching this is obsolete because the elemFluxVarsCache used here goes out of scope after this. | ||
| 487 | if constexpr (enableGridFluxVarsCache) | ||
| 488 | 10368 | gridVariables.gridFluxVarsCache().updateElement(element, fvGeometry, curElemVolVars); | |
| 489 | |||
| 490 | // evaluate additional derivatives that might arise from the coupling (no-op if not coupled) | ||
| 491 | 29568 | this->asImp_().maybeEvalAdditionalDomainDerivatives(origResiduals, A, gridVariables); | |
| 492 | 29568 | } | |
| 493 | |||
| 494 | /*! | ||
| 495 | * \brief Computes the derivatives with respect to the given element and adds them | ||
| 496 | * to the global matrix. | ||
| 497 | * \return The element residual at the current solution. | ||
| 498 | */ | ||
| 499 | template <class PartialReassembler = DefaultPartialReassembler> | ||
| 500 | ✗ | void assembleJacobianExplicit_(JacobianMatrix& A, GridVariables& gridVariables, | |
| 501 | const ElementResidualVector& origResiduals, | ||
| 502 | const PartialReassembler* partialReassembler = nullptr) | ||
| 503 | { | ||
| 504 | ✗ | if (partialReassembler) | |
| 505 | ✗ | DUNE_THROW(Dune::NotImplemented, "partial reassembly for explicit time discretization"); | |
| 506 | |||
| 507 | // get some aliases for convenience | ||
| 508 | ✗ | const auto& element = this->element(); | |
| 509 | ✗ | const auto& fvGeometry = this->fvGeometry(); | |
| 510 | ✗ | const auto& curSol = this->asImp_().curSol(); | |
| 511 | ✗ | auto&& curElemVolVars = this->curElemVolVars(); | |
| 512 | |||
| 513 | // create the element solution | ||
| 514 | ✗ | auto elemSol = elementSolution(element, curSol, fvGeometry.gridGeometry()); | |
| 515 | |||
| 516 | // create the vector storing the partial derivatives | ||
| 517 | ✗ | ElementResidualVector partialDerivs(Dumux::Detail::LocalDofs::numLocalDofs(fvGeometry)); | |
| 518 | |||
| 519 | // calculation of the derivatives | ||
| 520 | ✗ | for (const auto& scv : scvs(fvGeometry)) | |
| 521 | { | ||
| 522 | // dof index and corresponding actual pri vars | ||
| 523 | ✗ | const auto dofIdx = scv.dofIndex(); | |
| 524 | ✗ | auto& curVolVars = this->getVolVarAccess(gridVariables.curGridVolVars(), curElemVolVars, scv); | |
| 525 | ✗ | const VolumeVariables origVolVars(curVolVars); | |
| 526 | |||
| 527 | // calculate derivatives w.r.t to the privars at the dof at hand | ||
| 528 | ✗ | for (int pvIdx = 0; pvIdx < numEq; pvIdx++) | |
| 529 | { | ||
| 530 | ✗ | partialDerivs = 0.0; | |
| 531 | |||
| 532 | ✗ | auto evalStorage = [&](Scalar priVar) | |
| 533 | { | ||
| 534 | ✗ | elemSol[scv.localDofIndex()][pvIdx] = priVar; | |
| 535 | ✗ | curVolVars.update(elemSol, this->asImp_().problem(), element, scv); | |
| 536 | ✗ | return this->evalStorage(); | |
| 537 | }; | ||
| 538 | |||
| 539 | // derive the residuals numerically | ||
| 540 | ✗ | static const NumericEpsilon<Scalar, numEq> eps_{this->asImp_().problem().paramGroup()}; | |
| 541 | ✗ | static const int numDiffMethod = getParamFromGroup<int>(this->asImp_().problem().paramGroup(), "Assembly.NumericDifferenceMethod"); | |
| 542 | ✗ | NumericDifferentiation::partialDerivative(evalStorage, elemSol[scv.localDofIndex()][pvIdx], partialDerivs, origResiduals, | |
| 543 | ✗ | eps_(elemSol[scv.localDofIndex()][pvIdx], pvIdx), numDiffMethod); | |
| 544 | |||
| 545 | // update the global stiffness matrix with the current partial derivatives | ||
| 546 | ✗ | for (int eqIdx = 0; eqIdx < numEq; eqIdx++) | |
| 547 | { | ||
| 548 | // A[i][col][eqIdx][pvIdx] is the rate of change of | ||
| 549 | // the residual of equation 'eqIdx' at dof 'i' | ||
| 550 | // depending on the primary variable 'pvIdx' at dof | ||
| 551 | // 'col'. | ||
| 552 | ✗ | A[dofIdx][dofIdx][eqIdx][pvIdx] += partialDerivs[scv.localDofIndex()][eqIdx]; | |
| 553 | } | ||
| 554 | |||
| 555 | // restore the original state of the scv's volume variables | ||
| 556 | ✗ | curVolVars = origVolVars; | |
| 557 | |||
| 558 | // restore the original element solution | ||
| 559 | ✗ | elemSol[scv.localDofIndex()][pvIdx] = curSol[scv.dofIndex()][pvIdx]; | |
| 560 | } | ||
| 561 | } | ||
| 562 | ✗ | } | |
| 563 | }; | ||
| 564 | |||
| 565 | } // end namespace Dumux | ||
| 566 | |||
| 567 | #endif | ||
| 568 |