| Line | Branch | Exec | Source |
|---|---|---|---|
| 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 Hyperelastic | ||
| 10 | * \brief Local residual for the hyperelastic model | ||
| 11 | */ | ||
| 12 | #ifndef DUMUX_SOLIDMECHANICS_HYPERELASTIC_LOCAL_RESIDUAL_HH | ||
| 13 | #define DUMUX_SOLIDMECHANICS_HYPERELASTIC_LOCAL_RESIDUAL_HH | ||
| 14 | |||
| 15 | #include <dune/common/fvector.hh> | ||
| 16 | #include <dune/common/fmatrix.hh> | ||
| 17 | #include <dune/common/std/type_traits.hh> | ||
| 18 | #include <dune/common/exceptions.hh> | ||
| 19 | |||
| 20 | #include <dumux/common/math.hh> | ||
| 21 | #include <dumux/common/properties.hh> | ||
| 22 | #include <dumux/common/numeqvector.hh> | ||
| 23 | #include <dumux/discretization/extrusion.hh> | ||
| 24 | #include <dumux/discretization/defaultlocaloperator.hh> | ||
| 25 | |||
| 26 | namespace Dumux { | ||
| 27 | |||
| 28 | #ifndef DOXYGEN | ||
| 29 | namespace Detail::Hyperelastic { | ||
| 30 | // helper struct detecting if the user-defined problem class has a solidDensity method | ||
| 31 | template <typename T, typename ...Ts> | ||
| 32 | using SolidDensityDetector = decltype(std::declval<T>().solidDensity(std::declval<Ts>()...)); | ||
| 33 | |||
| 34 | template<class T, typename ...Args> | ||
| 35 | static constexpr bool hasSolidDensity() | ||
| 36 | { return Dune::Std::is_detected<SolidDensityDetector, T, Args...>::value; } | ||
| 37 | |||
| 38 | // helper struct detecting if the user-defined problem class has a acceleration method | ||
| 39 | template <typename T, typename ...Ts> | ||
| 40 | using AccelerationDetector = decltype(std::declval<T>().acceleration(std::declval<Ts>()...)); | ||
| 41 | |||
| 42 | template<class T, typename ...Args> | ||
| 43 | static constexpr bool hasAcceleration() | ||
| 44 | { return Dune::Std::is_detected<AccelerationDetector, T, Args...>::value; } | ||
| 45 | } // end namespace Detail::Hyperelastic | ||
| 46 | #endif | ||
| 47 | |||
| 48 | /*! | ||
| 49 | * \ingroup Hyperelastic | ||
| 50 | * \brief Local residual for the hyperelastic model | ||
| 51 | */ | ||
| 52 | template<class TypeTag> | ||
| 53 | class HyperelasticLocalResidual | ||
| 54 | : public DiscretizationDefaultLocalOperator<TypeTag> | ||
| 55 | { | ||
| 56 | using ParentType = DiscretizationDefaultLocalOperator<TypeTag>; | ||
| 57 | using Scalar = GetPropType<TypeTag, Properties::Scalar>; | ||
| 58 | using Problem = GetPropType<TypeTag, Properties::Problem>; | ||
| 59 | using NumEqVector = Dumux::NumEqVector<GetPropType<TypeTag, Properties::PrimaryVariables>>; | ||
| 60 | using VolumeVariables = GetPropType<TypeTag, Properties::VolumeVariables>; | ||
| 61 | using ElementVolumeVariables = typename GetPropType<TypeTag, Properties::GridVolumeVariables>::LocalView; | ||
| 62 | using ElementFluxVariablesCache = typename GetPropType<TypeTag, Properties::GridFluxVariablesCache>::LocalView; | ||
| 63 | using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>; | ||
| 64 | using FVElementGeometry = typename GridGeometry::LocalView; | ||
| 65 | using SubControlVolume = typename GridGeometry::SubControlVolume; | ||
| 66 | using SubControlVolumeFace = typename GridGeometry::SubControlVolumeFace; | ||
| 67 | using GridView = typename GridGeometry::GridView; | ||
| 68 | using Element = typename GridView::template Codim<0>::Entity; | ||
| 69 | using Extrusion = Extrusion_t<GridGeometry>; | ||
| 70 | using ModelTraits = GetPropType<TypeTag, Properties::ModelTraits>; | ||
| 71 | using Indices = typename ModelTraits::Indices; | ||
| 72 | static constexpr int dimWorld = GridView::dimensionworld; | ||
| 73 | public: | ||
| 74 | 595284 | using ParentType::ParentType; | |
| 75 | using ElementResidualVector = typename ParentType::ElementResidualVector; | ||
| 76 | |||
| 77 | using ParentType::evalStorage; | ||
| 78 | |||
| 79 | /*! | ||
| 80 | * \brief Evaluate the storage contribution to the residual: rho*d^2u/dt^2 | ||
| 81 | */ | ||
| 82 | 11468772 | void evalStorage(ElementResidualVector& residual, | |
| 83 | const Problem& problem, | ||
| 84 | const Element& element, | ||
| 85 | const FVElementGeometry& fvGeometry, | ||
| 86 | const ElementVolumeVariables& prevElemVolVars, | ||
| 87 | const ElementVolumeVariables& curElemVolVars, | ||
| 88 | const SubControlVolume& scv) const | ||
| 89 | { | ||
| 90 | 11468772 | const auto& curVolVars = curElemVolVars[scv]; | |
| 91 | |||
| 92 | if constexpr (Detail::Hyperelastic::hasSolidDensity<Problem, const Element&, const SubControlVolume&>() | ||
| 93 | && Detail::Hyperelastic::hasAcceleration<Problem, const Element&, const SubControlVolume&, Scalar, decltype(curVolVars.displacement())>()) | ||
| 94 | { | ||
| 95 | 11468772 | const auto& curVolVars = curElemVolVars[scv]; | |
| 96 | 11468772 | NumEqVector storage = problem.solidDensity(element, scv)*problem.acceleration( | |
| 97 | 11468772 | element, scv, this->timeLoop().timeStepSize(), curVolVars.displacement() | |
| 98 | ); | ||
| 99 | 11468772 | storage *= curVolVars.extrusionFactor()*Extrusion::volume(fvGeometry, scv); | |
| 100 | 11468772 | residual[scv.localDofIndex()] += storage; | |
| 101 | } | ||
| 102 | else | ||
| 103 | ✗ | DUNE_THROW(Dune::InvalidStateException, | |
| 104 | "Problem class must implement solidDensity and acceleration" | ||
| 105 | " methods to evaluate storage term" | ||
| 106 | ); | ||
| 107 | 11468772 | } | |
| 108 | |||
| 109 | /*! | ||
| 110 | * \brief Evaluate the fluxes over a face of a sub control volume | ||
| 111 | * flux: -div(P) where P is the 1st Piola-Kirchoff stress tensor (stress in reference configuration) | ||
| 112 | */ | ||
| 113 | 26214372 | NumEqVector computeFlux(const Problem& problem, | |
| 114 | const Element& element, | ||
| 115 | const FVElementGeometry& fvGeometry, | ||
| 116 | const ElementVolumeVariables& elemVolVars, | ||
| 117 | const SubControlVolumeFace& scvf, | ||
| 118 | const ElementFluxVariablesCache& elemFluxVarsCache) const | ||
| 119 | { | ||
| 120 | // the deformation gradient F = grad(d) + I | ||
| 121 | 52428744 | const auto F = [&]() | |
| 122 | { | ||
| 123 | 26214372 | const auto& fluxVarCache = elemFluxVarsCache[scvf]; | |
| 124 | 26214372 | Dune::FieldMatrix<Scalar, dimWorld, dimWorld> F(0.0); | |
| 125 |
2/2✓ Branch 0 taken 152371116 times.
✓ Branch 1 taken 26214372 times.
|
178585488 | for (const auto& scv : scvs(fvGeometry)) |
| 126 | { | ||
| 127 | 152371116 | const auto& volVars = elemVolVars[scv]; | |
| 128 |
2/2✓ Branch 0 taken 422707032 times.
✓ Branch 1 taken 152371116 times.
|
575078148 | for (int dir = 0; dir < dimWorld; ++dir) |
| 129 | 845414064 | F[dir].axpy(volVars.displacement(dir), fluxVarCache.gradN(scv.indexInElement())); | |
| 130 | } | ||
| 131 | |||
| 132 |
2/2✓ Branch 0 taken 67174344 times.
✓ Branch 1 taken 26214372 times.
|
93388716 | for (int dir = 0; dir < dimWorld; ++dir) |
| 133 | 67174344 | F[dir][dir] += 1; | |
| 134 | |||
| 135 | 26214372 | return F; | |
| 136 | 26214372 | }(); | |
| 137 | |||
| 138 | // numerical flux ==> -P*n*dA | ||
| 139 | 26214372 | NumEqVector flux(0.0); | |
| 140 | |||
| 141 | // problem implements the constitutive law P=P(F) | ||
| 142 | 26214372 | const auto P = problem.firstPiolaKirchhoffStressTensor(F); | |
| 143 | 52428744 | P.mv(scvf.unitOuterNormal(), flux); | |
| 144 | 26214372 | flux *= -scvf.area(); | |
| 145 | 26214372 | return flux; | |
| 146 | } | ||
| 147 | |||
| 148 | 21299172 | NumEqVector computeSource(const Problem& problem, | |
| 149 | const Element& element, | ||
| 150 | const FVElementGeometry& fvGeometry, | ||
| 151 | const ElementVolumeVariables& elemVolVars, | ||
| 152 | const SubControlVolume& scv) const | ||
| 153 | { | ||
| 154 | // loading and body forces are implemented in the problem | ||
| 155 | 21299172 | return ParentType::computeSource(problem, element, fvGeometry, elemVolVars, scv); | |
| 156 | } | ||
| 157 | }; | ||
| 158 | |||
| 159 | } // end namespace Dumux | ||
| 160 | |||
| 161 | #endif | ||
| 162 |