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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 BoxFlux | ||
| 10 | * \brief Specialization of the effective stress law for the box scheme. This computes the stress | ||
| 11 | * tensor and surface forces resulting from mechanical deformation and the pore pressure. | ||
| 12 | */ | ||
| 13 | #ifndef DUMUX_DISCRETIZATION_BOX_EFFECTIVE_STRESS_LAW_HH | ||
| 14 | #define DUMUX_DISCRETIZATION_BOX_EFFECTIVE_STRESS_LAW_HH | ||
| 15 | |||
| 16 | #include <dumux/flux/effectivestresslaw.hh> | ||
| 17 | #include <dumux/discretization/method.hh> | ||
| 18 | #include <dumux/discretization/extrusion.hh> | ||
| 19 | |||
| 20 | namespace Dumux { | ||
| 21 | |||
| 22 | /*! | ||
| 23 | * \ingroup BoxFlux | ||
| 24 | * \brief Effective stress law for box scheme | ||
| 25 | * \tparam StressType type used for the computation of | ||
| 26 | * purely mechanical stresses (i.e. material law) | ||
| 27 | * \tparam GridGeometry the finite volume grid geometry | ||
| 28 | */ | ||
| 29 | template<class StressType, class GridGeometry> | ||
| 30 | class EffectiveStressLaw<StressType, GridGeometry, typename GridGeometry::DiscretizationMethod> | ||
| 31 | { | ||
| 32 | using FVElementGeometry = typename GridGeometry::LocalView; | ||
| 33 | using SubControlVolumeFace = typename FVElementGeometry::SubControlVolumeFace; | ||
| 34 | using Extrusion = Extrusion_t<GridGeometry>; | ||
| 35 | |||
| 36 | using GridView = typename GridGeometry::GridView; | ||
| 37 | using Element = typename GridView::template Codim<0>::Entity; | ||
| 38 | |||
| 39 | static constexpr int dim = GridView::dimension; | ||
| 40 | static constexpr int dimWorld = GridView::dimensionworld; | ||
| 41 | static_assert(dim == dimWorld, "EffectiveStressLaw not implemented for network/surface grids"); | ||
| 42 | static_assert(StressType::discMethod == DiscretizationMethods::box, "The provided stress type must be specialized for the box scheme"); | ||
| 43 | |||
| 44 | public: | ||
| 45 | //! export the type used for scalar values | ||
| 46 | using Scalar = typename StressType::Scalar; | ||
| 47 | //! export the type used for the stress tensor | ||
| 48 | using StressTensor = typename StressType::StressTensor; | ||
| 49 | //! export the type used for force vectors | ||
| 50 | using ForceVector = typename StressType::ForceVector; | ||
| 51 | //! state the discretization method this implementation belongs to | ||
| 52 | |||
| 53 | using DiscretizationMethod = DiscretizationMethods::Box; | ||
| 54 | // state the discretization method this implementation belongs to | ||
| 55 | static constexpr DiscretizationMethod discMethod{}; | ||
| 56 | |||
| 57 | /*! | ||
| 58 | * \brief Computes the force (in Newton) acting on a sub-control volume face. | ||
| 59 | */ | ||
| 60 | template<class Problem, class ElementVolumeVariables, class ElementFluxVarsCache> | ||
| 61 | 1196976 | static ForceVector force(const Problem& problem, | |
| 62 | const Element& element, | ||
| 63 | const FVElementGeometry& fvGeometry, | ||
| 64 | const ElementVolumeVariables& elemVolVars, | ||
| 65 | const SubControlVolumeFace& scvf, | ||
| 66 | const ElementFluxVarsCache& elemFluxVarCache) | ||
| 67 | { | ||
| 68 | 2393952 | const auto sigma = stressTensor(problem, element, fvGeometry, elemVolVars, elemFluxVarCache[scvf]); | |
| 69 | |||
| 70 | 1196976 | ForceVector scvfForce(0.0); | |
| 71 | 1196976 | sigma.mv(scvf.unitOuterNormal(), scvfForce); | |
| 72 | 2393952 | scvfForce *= Extrusion::area(fvGeometry, scvf); | |
| 73 | |||
| 74 | 1196976 | return scvfForce; | |
| 75 | } | ||
| 76 | |||
| 77 | //! assembles the (total) stress tensor of the porous medium at a given integration point | ||
| 78 | template<class Problem, class ElementVolumeVariables, class FluxVarsCache> | ||
| 79 | 1197176 | static StressTensor stressTensor(const Problem& problem, | |
| 80 | const Element& element, | ||
| 81 | const FVElementGeometry& fvGeometry, | ||
| 82 | const ElementVolumeVariables& elemVolVars, | ||
| 83 | const FluxVarsCache& fluxVarsCache) | ||
| 84 | { | ||
| 85 | // compute the purely mechanical stress | ||
| 86 | 1197176 | auto sigma = StressType::stressTensor(problem, element, fvGeometry, elemVolVars, fluxVarsCache); | |
| 87 | |||
| 88 | // obtain biot coefficient and effective pore pressure | ||
| 89 | 2394352 | const auto biotCoeff = problem.spatialParams().biotCoefficient(element, fvGeometry, elemVolVars, fluxVarsCache); | |
| 90 | 1210376 | const auto effPress = problem.spatialParams().effectivePorePressure(element, fvGeometry, elemVolVars, fluxVarsCache); | |
| 91 | |||
| 92 | // subtract pore pressure from the diagonal entries | ||
| 93 | 1197176 | const auto bcp = biotCoeff*effPress; | |
| 94 |
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4768104 | for (int i = 0; i < dim; ++i) |
| 95 | 10712784 | sigma[i][i] -= bcp; | |
| 96 | |||
| 97 | 1197176 | return sigma; | |
| 98 | } | ||
| 99 | |||
| 100 | //! assembles the (effective) stress tensor of the solid skeleton at a given integration point | ||
| 101 | template<class Problem, class ElementVolumeVariables, class FluxVarsCache> | ||
| 102 | static StressTensor effectiveStressTensor(const Problem& problem, | ||
| 103 | const Element& element, | ||
| 104 | const FVElementGeometry& fvGeometry, | ||
| 105 | const ElementVolumeVariables& elemVolVars, | ||
| 106 | const FluxVarsCache& fluxVarsCache) | ||
| 107 | 200 | { return StressType::stressTensor(problem, element, fvGeometry, elemVolVars, fluxVarsCache); } | |
| 108 | }; | ||
| 109 | |||
| 110 | } // end namespace Dumux | ||
| 111 | |||
| 112 | #endif | ||
| 113 |