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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 NavierStokesModel | ||
| 10 | * \brief A helper function to add Brinkman term to the momentum balance | ||
| 11 | */ | ||
| 12 | #ifndef DUMUX_NAVIERSTOKES_MOMENTUM_BRINKMAN_TERM_HH | ||
| 13 | #define DUMUX_NAVIERSTOKES_MOMENTUM_BRINKMAN_TERM_HH | ||
| 14 | |||
| 15 | #include <type_traits> | ||
| 16 | #include <dune/common/typetraits.hh> | ||
| 17 | #include <dune/common/exceptions.hh> | ||
| 18 | |||
| 19 | #include <dumux/common/math.hh> | ||
| 20 | #include <dumux/discretization/method.hh> | ||
| 21 | #include <dumux/discretization/evalsolution.hh> | ||
| 22 | #include <dumux/discretization/cvfe/elementsolution.hh> | ||
| 23 | #include <dumux/freeflow/navierstokes/momentum/velocityreconstruction.hh> | ||
| 24 | |||
| 25 | namespace Dumux { | ||
| 26 | |||
| 27 | /*! | ||
| 28 | * \file | ||
| 29 | * \ingroup NavierStokesModel | ||
| 30 | * \brief A helper function to add the Brinkman term to the momentum balance | ||
| 31 | * \addtogroup NavierStokesModel | ||
| 32 | * @{ | ||
| 33 | * The Navier-Stokes model can be extended to a Darcy-Brinkman model by adding | ||
| 34 | * the term: | ||
| 35 | * \f[ | ||
| 36 | + \epsilon_B \mu \mathbf{K}^{-1} \mathbf{v} | ||
| 37 | * \f] | ||
| 38 | * to the momentum balance. This can be achieved with the helper function \ref addBrinkmanTerm. | ||
| 39 | * This function relies on the spatial parameters class being based on <code>BrinkmanSpatialParams</code> | ||
| 40 | * or providing the `brinkmanEpsilon` and `inversePermeability` interfaces. | ||
| 41 | * These interface functions provide the | ||
| 42 | * weighting factor \f$ \epsilon_B \f$ and the permeability tensor \f$ \mathbf{K} \f$. | ||
| 43 | * @} | ||
| 44 | */ | ||
| 45 | template<class NumEqVector, class Problem, class FVElementGeometry, class ElementVolumeVariables> | ||
| 46 | 1178720 | void addBrinkmanTerm( | |
| 47 | NumEqVector& source, | ||
| 48 | const Problem& problem, | ||
| 49 | const typename FVElementGeometry::Element& element, | ||
| 50 | const FVElementGeometry& fvGeometry, | ||
| 51 | const ElementVolumeVariables& elemVolVars, | ||
| 52 | const typename FVElementGeometry::SubControlVolume& scv | ||
| 53 | ){ | ||
| 54 |
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2357440 | if (problem.spatialParams().brinkmanEpsilon(element, fvGeometry, scv) > 0.0) |
| 55 | { | ||
| 56 | 669688 | const auto brinkmanEpsilon = problem.spatialParams().brinkmanEpsilon(element, fvGeometry, scv); | |
| 57 | 669688 | const auto invK = problem.spatialParams().inversePermeability(element, fvGeometry, scv); | |
| 58 | 334844 | const auto mu = problem.effectiveViscosity(element, fvGeometry, scv); | |
| 59 | |||
| 60 | using DM = typename FVElementGeometry::GridGeometry::DiscretizationMethod; | ||
| 61 | if constexpr (DiscretizationMethods::isCVFE<DM>) | ||
| 62 | { | ||
| 63 | 244500 | const auto velocity = elemVolVars[scv].velocity(); | |
| 64 | 733500 | source -= mu * brinkmanEpsilon * mv(invK, velocity); | |
| 65 | } | ||
| 66 | else if constexpr (DM{} == DiscretizationMethods::fcstaggered) | ||
| 67 | { | ||
| 68 | if constexpr (Dune::IsNumber<std::decay_t<decltype(invK)>>::value) | ||
| 69 | { | ||
| 70 | const auto velocity = elemVolVars[scv].velocity(); | ||
| 71 | source -= mu * brinkmanEpsilon * invK * velocity; | ||
| 72 | } | ||
| 73 | else | ||
| 74 | { | ||
| 75 | // permeability is tensor-valued, use velocity vector reconstruction | ||
| 76 | 271032 | const auto getVelocitySCV = [&](const auto& scv){ return elemVolVars[scv].velocity(); }; | |
| 77 | 90344 | const auto velocity = StaggeredVelocityReconstruction::faceVelocity(scv, fvGeometry, getVelocitySCV); | |
| 78 | 180688 | source -= mu * brinkmanEpsilon * mv(invK, velocity)[scv.dofAxis()]; | |
| 79 | } | ||
| 80 | } | ||
| 81 | else | ||
| 82 | DUNE_THROW(Dune::NotImplemented, "Brinkman term only implemented for CVFE and Staggered"); | ||
| 83 | } | ||
| 84 | 1178720 | } | |
| 85 | |||
| 86 | } // end namespace Dumux | ||
| 87 | |||
| 88 | #endif | ||
| 89 |