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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-FileCopyrightInfo: 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_GEOMECHANICS_HYPERELASTIC_LOCAL_RESIDUAL_HH | ||
| 13 | #define DUMUX_GEOMECHANICS_HYPERELASTIC_LOCAL_RESIDUAL_HH | ||
| 14 | |||
| 15 | #include <dune/common/fvector.hh> | ||
| 16 | #include <dune/common/fmatrix.hh> | ||
| 17 | |||
| 18 | #include <dumux/common/math.hh> | ||
| 19 | #include <dumux/common/properties.hh> | ||
| 20 | #include <dumux/common/numeqvector.hh> | ||
| 21 | #include <dumux/discretization/extrusion.hh> | ||
| 22 | |||
| 23 | namespace Dumux { | ||
| 24 | |||
| 25 | /*! | ||
| 26 | * \ingroup Hyperelastic | ||
| 27 | * \brief Local residual for the hyperelastic model | ||
| 28 | */ | ||
| 29 | template<class TypeTag> | ||
| 30 | class HyperelasticLocalResidual | ||
| 31 | : public GetPropType<TypeTag, Properties::BaseLocalResidual> | ||
| 32 | { | ||
| 33 | using ParentType = GetPropType<TypeTag, Properties::BaseLocalResidual>; | ||
| 34 | using Scalar = GetPropType<TypeTag, Properties::Scalar>; | ||
| 35 | using Problem = GetPropType<TypeTag, Properties::Problem>; | ||
| 36 | using NumEqVector = Dumux::NumEqVector<GetPropType<TypeTag, Properties::PrimaryVariables>>; | ||
| 37 | using VolumeVariables = GetPropType<TypeTag, Properties::VolumeVariables>; | ||
| 38 | using ElementVolumeVariables = typename GetPropType<TypeTag, Properties::GridVolumeVariables>::LocalView; | ||
| 39 | using ElementFluxVariablesCache = typename GetPropType<TypeTag, Properties::GridFluxVariablesCache>::LocalView; | ||
| 40 | using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>; | ||
| 41 | using FVElementGeometry = typename GridGeometry::LocalView; | ||
| 42 | using SubControlVolume = typename GridGeometry::SubControlVolume; | ||
| 43 | using SubControlVolumeFace = typename GridGeometry::SubControlVolumeFace; | ||
| 44 | using GridView = typename GridGeometry::GridView; | ||
| 45 | using Element = typename GridView::template Codim<0>::Entity; | ||
| 46 | using Extrusion = Extrusion_t<GridGeometry>; | ||
| 47 | using ModelTraits = GetPropType<TypeTag, Properties::ModelTraits>; | ||
| 48 | using Indices = typename ModelTraits::Indices; | ||
| 49 | static constexpr int dimWorld = GridView::dimensionworld; | ||
| 50 | public: | ||
| 51 | 98304 | using ParentType::ParentType; | |
| 52 | using ElementResidualVector = typename ParentType::ElementResidualVector; | ||
| 53 | |||
| 54 | /*! | ||
| 55 | * \brief Evaluate the rate of change of all conserved quantities | ||
| 56 | */ | ||
| 57 | ✗ | NumEqVector computeStorage(const Problem& problem, | |
| 58 | const SubControlVolume& scv, | ||
| 59 | const VolumeVariables& volVars) const | ||
| 60 | { | ||
| 61 | // only the static model is implemented so far | ||
| 62 | ✗ | return NumEqVector(0.0); | |
| 63 | } | ||
| 64 | |||
| 65 | /*! | ||
| 66 | * \brief Evaluate the fluxes over a face of a sub control volume | ||
| 67 | * flux: -div(P) where P is the 1st Piola-Kirchoff stress tensor (stress in reference configuration) | ||
| 68 | */ | ||
| 69 | 14745600 | NumEqVector computeFlux(const Problem& problem, | |
| 70 | const Element& element, | ||
| 71 | const FVElementGeometry& fvGeometry, | ||
| 72 | const ElementVolumeVariables& elemVolVars, | ||
| 73 | const SubControlVolumeFace& scvf, | ||
| 74 | const ElementFluxVariablesCache& elemFluxVarsCache) const | ||
| 75 | { | ||
| 76 | // the deformation gradient F = grad(d) + I | ||
| 77 | 14745600 | const auto F = [&]() | |
| 78 | { | ||
| 79 | 14745600 | const auto& fluxVarCache = elemFluxVarsCache[scvf]; | |
| 80 | 14745600 | Dune::FieldMatrix<Scalar, dimWorld, dimWorld> F(0.0); | |
| 81 |
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147456000 | for (const auto& scv : scvs(fvGeometry)) |
| 82 | { | ||
| 83 | 117964800 | const auto& volVars = elemVolVars[scv]; | |
| 84 |
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471859200 | for (int dir = 0; dir < dimWorld; ++dir) |
| 85 | 1769472000 | F[dir].axpy(volVars.displacement(dir), fluxVarCache.gradN(scv.indexInElement())); | |
| 86 | } | ||
| 87 | |||
| 88 |
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58982400 | for (int dir = 0; dir < dimWorld; ++dir) |
| 89 | 132710400 | F[dir][dir] += 1; | |
| 90 | |||
| 91 | 14745600 | return F; | |
| 92 | 14745600 | }(); | |
| 93 | |||
| 94 | // numerical flux ==> -P*n*dA | ||
| 95 | 14745600 | NumEqVector flux(0.0); | |
| 96 | |||
| 97 | // problem implements the constitutive law P=P(F) | ||
| 98 | 14745600 | const auto P = problem.firstPiolaKirchhoffStressTensor(F); | |
| 99 | 29491200 | P.mv(scvf.unitOuterNormal(), flux); | |
| 100 | 14745600 | flux *= -scvf.area(); | |
| 101 | 14745600 | return flux; | |
| 102 | } | ||
| 103 | |||
| 104 | NumEqVector computeSource(const Problem& problem, | ||
| 105 | const Element& element, | ||
| 106 | const FVElementGeometry& fvGeometry, | ||
| 107 | const ElementVolumeVariables& elemVolVars, | ||
| 108 | const SubControlVolume& scv) const | ||
| 109 | { | ||
| 110 | // loading and body forces are implemented in the problem | ||
| 111 | 9830400 | return ParentType::computeSource(problem, element, fvGeometry, elemVolVars, scv); | |
| 112 | } | ||
| 113 | }; | ||
| 114 | |||
| 115 | } // end namespace Dumux | ||
| 116 | |||
| 117 | #endif | ||
| 118 |