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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 | /*! | ||
| 9 | * \file | ||
| 10 | * \ingroup NavierStokesTests | ||
| 11 | * \brief Darcy Brinkman model for a single-domain evaluation of coupled freeflow and porous medium flows | ||
| 12 | */ | ||
| 13 | |||
| 14 | #ifndef DUMUX_BRINKMAN_SPATIAL_PARAMS_HH | ||
| 15 | #define DUMUX_BRINKMAN_SPATIAL_PARAMS_HH | ||
| 16 | |||
| 17 | #include <cmath> | ||
| 18 | #include <numeric> | ||
| 19 | #include <algorithm> | ||
| 20 | #include <dune/common/fmatrix.hh> | ||
| 21 | #include <dumux/freeflow/spatialparams.hh> | ||
| 22 | |||
| 23 | namespace Dumux { | ||
| 24 | |||
| 25 | /*! | ||
| 26 | * \ingroup NavierStokesTests | ||
| 27 | * \brief The spatial parameters class for the Darcy-Brinkman model test | ||
| 28 | */ | ||
| 29 | template<class GridGeometry, class Scalar> | ||
| 30 |
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4 | class BrinkmanTestSpatialParams |
| 31 | : public BrinkmanSpatialParams<GridGeometry, Scalar, BrinkmanTestSpatialParams<GridGeometry, Scalar>> | ||
| 32 | { | ||
| 33 | using ParentType = BrinkmanSpatialParams<GridGeometry, Scalar, BrinkmanTestSpatialParams<GridGeometry, Scalar>>; | ||
| 34 | using GridView = typename GridGeometry::GridView; | ||
| 35 | using Element = typename GridView::template Codim<0>::Entity; | ||
| 36 | using FVElementGeometry = typename GridGeometry::LocalView; | ||
| 37 | using SubControlVolume = typename FVElementGeometry::SubControlVolume; | ||
| 38 | |||
| 39 | static constexpr int dimWorld = GridView::dimensionworld; | ||
| 40 | using GlobalPosition = typename Element::Geometry::GlobalCoordinate; | ||
| 41 | using DimWorldMatrix = Dune::FieldMatrix<Scalar, dimWorld, dimWorld>; | ||
| 42 | |||
| 43 | public: | ||
| 44 | using PermeabilityType = DimWorldMatrix; | ||
| 45 | |||
| 46 | 8 | BrinkmanTestSpatialParams(std::shared_ptr<const GridGeometry> gridGeometry) | |
| 47 | : ParentType(gridGeometry) | ||
| 48 | , permeability_(0.0) | ||
| 49 |
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64 | , inversePermeability_(0.0) |
| 50 | { | ||
| 51 |
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8 | initPermeability_(); |
| 52 | |||
| 53 |
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8 | pmLowerLeft_ = getParam<GlobalPosition>("SpatialParams.PorousMediumLowerLeft"); |
| 54 |
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8 | pmUpperRight_ = getParam<GlobalPosition>("SpatialParams.PorousMediumUpperRight"); |
| 55 | 16 | pmCenter_ = 0.5*(pmLowerLeft_ + pmUpperRight_); | |
| 56 | 8 | pmDimensions_ = pmUpperRight_ - pmLowerLeft_; | |
| 57 |
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8 | pmRoundedness_ = getParam<Scalar>("SpatialParams.PorousMediumRoundedness", 0.0); |
| 58 |
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8 | pmTransitionHalfLength_ = 0.5*getParam<Scalar>("SpatialParams.PorousMediumTransitionLength"); |
| 59 | 8 | } | |
| 60 | |||
| 61 | 10800 | PermeabilityType permeabilityAtPos(const GlobalPosition& globalPos) const | |
| 62 | 10800 | { return permeability_ * brinkmanEpsilonAtPos(globalPos); } | |
| 63 | |||
| 64 | ✗ | PermeabilityType inversePermeability(const Element& element, const FVElementGeometry& fvGeometry, const SubControlVolume& scv) const | |
| 65 | 334844 | { return inversePermeability_; } | |
| 66 | |||
| 67 | ✗ | Scalar brinkmanEpsilon(const Element& element, const FVElementGeometry& fvGeometry, const SubControlVolume& scv) const | |
| 68 | 2692284 | { return brinkmanEpsilonAtPos(scv.dofPosition()); } | |
| 69 | |||
| 70 | 3070328 | Scalar brinkmanEpsilonAtPos(const GlobalPosition& globalPos) const | |
| 71 | { | ||
| 72 | 3070328 | const auto p = globalPos - pmCenter_; | |
| 73 | 3070328 | GlobalPosition q(0.0); | |
| 74 |
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9210984 | for (int i = 0; i < dimWorld; ++i) |
| 75 | 30703280 | q[i] += std::abs(p[i]) - 0.5*pmDimensions_[i] + pmRoundedness_; | |
| 76 | |||
| 77 |
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11028968 | const auto length = std::hypot(std::max(q[0], 0.0), std::max(q[1], 0.0)); |
| 78 |
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9809752 | const auto sdf = std::min(std::max(q[0], q[1]), 0.0) + length - pmRoundedness_; |
| 79 |
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3070328 | const auto clampedSDF = -std::clamp(sdf, -pmTransitionHalfLength_, pmTransitionHalfLength_) + pmTransitionHalfLength_; |
| 80 | 3070328 | return 0.5*clampedSDF/pmTransitionHalfLength_; | |
| 81 | } | ||
| 82 | |||
| 83 | private: | ||
| 84 | 8 | void initPermeability_() | |
| 85 | { | ||
| 86 | 8 | Scalar k = getParam<Scalar>("SpatialParams.Permeability"); | |
| 87 | 8 | Scalar anisotropyRatio = getParam<Scalar>("SpatialParams.AnisotropyRatio", 0.0); | |
| 88 | 16 | permeability_[0][0] = k; | |
| 89 | 16 | permeability_[1][1] = k * anisotropyRatio; | |
| 90 | |||
| 91 | // rotate the tensor by theta | ||
| 92 | 8 | Scalar theta_ = getParam<Scalar>("SpatialParams.PermeabilityRotation", 0.0); | |
| 93 | |||
| 94 | // degrees to Radians for the rotation angle, store rotation entries | ||
| 95 | 8 | Scalar radTheta = theta_ * M_PI / 180.0; | |
| 96 | 8 | Scalar cosTheta = std::cos(radTheta); | |
| 97 | 8 | Scalar sinTheta = std::sin(radTheta); | |
| 98 | |||
| 99 | // create a rotation matrix according to the rotation angle | ||
| 100 | PermeabilityType rotationMatrix; | ||
| 101 | 16 | rotationMatrix[0][0] = cosTheta; | |
| 102 | 16 | rotationMatrix[0][1] = sinTheta * -1.0; | |
| 103 | 16 | rotationMatrix[1][0] = sinTheta; | |
| 104 | 16 | rotationMatrix[1][1] = cosTheta; | |
| 105 | |||
| 106 | // rotate the permeability tensor | ||
| 107 | 8 | PermeabilityType originalPermeability = permeability_; | |
| 108 | 24 | permeability_ = rotationMatrix * originalPermeability * getTransposed(rotationMatrix); | |
| 109 | |||
| 110 | 8 | inversePermeability_ = permeability_; | |
| 111 | 16 | inversePermeability_.invert(); | |
| 112 | 8 | } | |
| 113 | |||
| 114 | PermeabilityType permeability_; | ||
| 115 | PermeabilityType inversePermeability_; | ||
| 116 | |||
| 117 | PermeabilityType ffPermeability_; | ||
| 118 | |||
| 119 | GlobalPosition pmLowerLeft_; | ||
| 120 | GlobalPosition pmUpperRight_; | ||
| 121 | GlobalPosition pmCenter_; | ||
| 122 | GlobalPosition pmDimensions_; | ||
| 123 | Scalar pmRoundedness_; | ||
| 124 | Scalar pmTransitionHalfLength_; | ||
| 125 | |||
| 126 | static constexpr Scalar eps_ = 1e-7; | ||
| 127 | }; | ||
| 128 | |||
| 129 | } // end namespace Dumux | ||
| 130 | |||
| 131 | #endif | ||
| 132 |