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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 FacetCoupling | ||
| 10 | * \brief Modified upwind scheme for models using cell-centered schemes | ||
| 11 | * with coupling across element facets. | ||
| 12 | */ | ||
| 13 | #ifndef DUMUX_MIXEDDIMENSION_FACET_CC_UPWINDSCHEME_HH | ||
| 14 | #define DUMUX_MIXEDDIMENSION_FACET_CC_UPWINDSCHEME_HH | ||
| 15 | |||
| 16 | #include <dumux/common/properties.hh> | ||
| 17 | #include <dumux/common/parameters.hh> | ||
| 18 | #include <dumux/discretization/method.hh> | ||
| 19 | |||
| 20 | namespace Dumux { | ||
| 21 | |||
| 22 | /*! | ||
| 23 | * \ingroup FacetCoupling | ||
| 24 | * \brief The upwind scheme used for the advective fluxes. | ||
| 25 | * This is a modified scheme for models involving coupling | ||
| 26 | * with a lower-dimensional domain across the element facets. | ||
| 27 | */ | ||
| 28 | template<class GridGeometry> | ||
| 29 | class CCFacetCouplingUpwindScheme | ||
| 30 | { | ||
| 31 | using GridView = typename GridGeometry::GridView; | ||
| 32 | static constexpr int dim = GridView::dimension; | ||
| 33 | static constexpr int dimWorld = GridView::dimensionworld; | ||
| 34 | |||
| 35 | public: | ||
| 36 | // For surface and network grids (dim < dimWorld) we have to do a special upwind scheme | ||
| 37 | template<class FluxVariables, class UpwindTermFunction, class Scalar, int d = dim, int dw = dimWorld> | ||
| 38 | static typename std::enable_if<(d < dw), Scalar>::type | ||
| 39 | 27587296 | apply(const FluxVariables& fluxVars, | |
| 40 | const UpwindTermFunction& upwindTerm, | ||
| 41 | Scalar flux, int phaseIdx) | ||
| 42 | { | ||
| 43 |
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27587296 | static const Scalar upwindWeight = getParam<Scalar>("Flux.UpwindWeight"); |
| 44 | |||
| 45 | // the volume variables of the inside sub-control volume | ||
| 46 | 27587296 | const auto& scvf = fluxVars.scvFace(); | |
| 47 | 27587296 | const auto& elemVolVars = fluxVars.elemVolVars(); | |
| 48 | 32916388 | const auto& insideVolVars = elemVolVars[scvf.insideScvIdx()]; | |
| 49 | |||
| 50 | // check if this is an interior boundary | ||
| 51 |
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27587296 | const auto& cm = fluxVars.problem().couplingManager(); |
| 52 |
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55174592 | if (cm.isOnInteriorBoundary(fluxVars.element(), scvf)) |
| 53 | { | ||
| 54 | 919500 | const auto& outsideVolVars = cm.getLowDimVolVars(fluxVars.element(), scvf); | |
| 55 |
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1839000 | if (std::signbit(flux)) |
| 56 | 436034 | return flux*(upwindWeight*upwindTerm(outsideVolVars) | |
| 57 | 572298 | + (1.0 - upwindWeight)*upwindTerm(insideVolVars)); | |
| 58 | else | ||
| 59 | 483466 | return flux*(upwindWeight*upwindTerm(insideVolVars) | |
| 60 | 597942 | + (1.0 - upwindWeight)*upwindTerm(outsideVolVars)); | |
| 61 | } | ||
| 62 | else | ||
| 63 | { | ||
| 64 | // check if this is a branching point | ||
| 65 |
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53335592 | if (scvf.numOutsideScvs() > 1) |
| 66 | { | ||
| 67 | // more complicated upwind scheme | ||
| 68 | // we compute a flux-weighted average of all inflowing branches | ||
| 69 | ✗ | Scalar branchingPointUpwindTerm = 0.0; | |
| 70 | ✗ | Scalar sumUpwindFluxes = 0.0; | |
| 71 | |||
| 72 | // if the inside flux is positive (outflow) do fully upwind and return flux | ||
| 73 | ✗ | if (!std::signbit(flux)) | |
| 74 | ✗ | return upwindTerm(insideVolVars)*flux; | |
| 75 | else | ||
| 76 | ✗ | sumUpwindFluxes += flux; | |
| 77 | |||
| 78 | ✗ | for (unsigned int i = 0; i < scvf.numOutsideScvs(); ++i) | |
| 79 | { | ||
| 80 | // compute the outside flux | ||
| 81 | ✗ | const auto& fvGeometry = fluxVars.fvGeometry(); | |
| 82 | ✗ | const auto outsideScvIdx = scvf.outsideScvIdx(i); | |
| 83 | ✗ | const auto outsideElement = fvGeometry.gridGeometry().element(outsideScvIdx); | |
| 84 | ✗ | const auto& flippedScvf = fvGeometry.flipScvf(scvf.index(), i); | |
| 85 | |||
| 86 | using AdvectionType = typename FluxVariables::AdvectionType; | ||
| 87 | ✗ | const auto outsideFlux = AdvectionType::flux(fluxVars.problem(), | |
| 88 | outsideElement, | ||
| 89 | fvGeometry, | ||
| 90 | elemVolVars, | ||
| 91 | flippedScvf, | ||
| 92 | phaseIdx, | ||
| 93 | fluxVars.elemFluxVarsCache()); | ||
| 94 | |||
| 95 | ✗ | if (!std::signbit(outsideFlux)) | |
| 96 | ✗ | branchingPointUpwindTerm += upwindTerm(elemVolVars[outsideScvIdx])*outsideFlux; | |
| 97 | else | ||
| 98 | ✗ | sumUpwindFluxes += outsideFlux; | |
| 99 | } | ||
| 100 | |||
| 101 | // the flux might be zero | ||
| 102 | ✗ | if (sumUpwindFluxes != 0.0) | |
| 103 | ✗ | branchingPointUpwindTerm /= -sumUpwindFluxes; | |
| 104 | else | ||
| 105 | branchingPointUpwindTerm = 0.0; | ||
| 106 | |||
| 107 | // upwind scheme (always do fully upwind at branching points) | ||
| 108 | // a weighting here would lead to an error since the derivation is based on a fully upwind scheme | ||
| 109 | // TODO How to implement a weight of e.g. 0.5 | ||
| 110 | ✗ | if (std::signbit(flux)) | |
| 111 | ✗ | return flux*branchingPointUpwindTerm; | |
| 112 | else | ||
| 113 | return flux*upwindTerm(insideVolVars); | ||
| 114 | } | ||
| 115 | // non-branching points and boundaries | ||
| 116 | else | ||
| 117 | { | ||
| 118 | 53335592 | const auto& outsideVolVars = elemVolVars[scvf.outsideScvIdx()]; | |
| 119 |
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53335592 | if (std::signbit(flux)) |
| 120 | 12851503 | return flux*(upwindWeight*upwindTerm(outsideVolVars) | |
| 121 | 16645518 | + (1.0 - upwindWeight)*upwindTerm(insideVolVars)); | |
| 122 | else | ||
| 123 | 13816293 | return flux*(upwindWeight*upwindTerm(insideVolVars) | |
| 124 | 17842634 | + (1.0 - upwindWeight)*upwindTerm(outsideVolVars)); | |
| 125 | } | ||
| 126 | } | ||
| 127 | } | ||
| 128 | |||
| 129 | // For grids with dim == dimWorld we use a simple upwinding scheme | ||
| 130 | template<class FluxVariables, class UpwindTermFunction, class Scalar, int d = dim, int dw = dimWorld> | ||
| 131 | static typename std::enable_if<(d == dw), Scalar>::type | ||
| 132 | 39136373 | apply(const FluxVariables& fluxVars, | |
| 133 | const UpwindTermFunction& upwindTerm, | ||
| 134 | Scalar flux, int phaseIdx) | ||
| 135 | { | ||
| 136 |
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39136373 | static const Scalar upwindWeight = getParam<Scalar>("Flux.UpwindWeight"); |
| 137 | |||
| 138 | 39136373 | const auto& scvf = fluxVars.scvFace(); | |
| 139 | 39136373 | const auto& elemVolVars = fluxVars.elemVolVars(); | |
| 140 | 49197906 | const auto& insideVolVars = elemVolVars[scvf.insideScvIdx()]; | |
| 141 | |||
| 142 | // check if this is an interior boundary | ||
| 143 |
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39136373 | const auto& cm = fluxVars.problem().couplingManager(); |
| 144 |
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78272746 | if (cm.isOnInteriorBoundary(fluxVars.element(), scvf)) |
| 145 | { | ||
| 146 | // upwind scheme | ||
| 147 | 1604244 | const auto& outsideVolVars = cm.getLowDimVolVars(fluxVars.element(), scvf); | |
| 148 |
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3208488 | if (std::signbit(flux)) |
| 149 | 750598 | return flux*(upwindWeight*upwindTerm(outsideVolVars) | |
| 150 | 1255680 | + (1.0 - upwindWeight)*upwindTerm(insideVolVars)); | |
| 151 | else | ||
| 152 | 853646 | return flux*(upwindWeight*upwindTerm(insideVolVars) | |
| 153 | 1304280 | + (1.0 - upwindWeight)*upwindTerm(outsideVolVars)); | |
| 154 | } | ||
| 155 | else | ||
| 156 | { | ||
| 157 | 75064258 | const auto& outsideVolVars = elemVolVars[scvf.outsideScvIdx()]; | |
| 158 | |||
| 159 |
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75064258 | if (std::signbit(flux)) // if sign of flux is negative |
| 160 | 18141912 | return flux*(upwindWeight*upwindTerm(outsideVolVars) | |
| 161 | 27479474 | + (1.0 - upwindWeight)*upwindTerm(insideVolVars)); | |
| 162 | else | ||
| 163 | 19390217 | return flux*(upwindWeight*upwindTerm(insideVolVars) | |
| 164 | 29279024 | + (1.0 - upwindWeight)*upwindTerm(outsideVolVars)); | |
| 165 | } | ||
| 166 | } | ||
| 167 | }; | ||
| 168 | |||
| 169 | } // end namespace Dumux | ||
| 170 | |||
| 171 | #endif | ||
| 172 |