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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 Fluidmatrixinteractions | ||
| 10 | * \ingroup PoreNetworkModels | ||
| 11 | * \brief Implementation of the single-phase transmissibility laws for throats | ||
| 12 | */ | ||
| 13 | #ifndef DUMUX_PNM_THROAT_TRANSMISSIBILITY_1P_HH | ||
| 14 | #define DUMUX_PNM_THROAT_TRANSMISSIBILITY_1P_HH | ||
| 15 | |||
| 16 | #include <dumux/common/parameters.hh> | ||
| 17 | #include <dumux/porenetwork/common/throatproperties.hh> | ||
| 18 | #include "emptycache.hh" | ||
| 19 | |||
| 20 | namespace Dumux::PoreNetwork { | ||
| 21 | |||
| 22 | /*! | ||
| 23 | * \ingroup Fluidmatrixinteractions | ||
| 24 | * \ingroup PoreNetworkModels | ||
| 25 | * \brief Collection of single-phase flow throat transmissibilities based on | ||
| 26 | * Bruus, H. (2011). Acoustofluidics 1: Governing equations in microfluidics. Lab on a Chip, 11(22), 3742-3751. | ||
| 27 | * https://backend.orbit.dtu.dk/ws/portalfiles/portal/5900070/rsc%5B1%5D.pdf | ||
| 28 | */ | ||
| 29 | template<class Scalar> | ||
| 30 | class TransmissibilityBruus | ||
| 31 | { | ||
| 32 | public: | ||
| 33 | |||
| 34 | using SinglePhaseCache = EmptyCache; | ||
| 35 | |||
| 36 | template<class Problem, class Element, class FVElementGeometry, class ElementVolumeVariables, class FluxVariablesCache> | ||
| 37 | ✗ | static Scalar singlePhaseTransmissibility(const Problem& problem, | |
| 38 | const Element& element, | ||
| 39 | const FVElementGeometry& fvGeometry, | ||
| 40 | const typename FVElementGeometry::SubControlVolumeFace& scvf, | ||
| 41 | const ElementVolumeVariables& elemVolVars, | ||
| 42 | const FluxVariablesCache& fluxVarsCache, | ||
| 43 | const int phaseIdx) | ||
| 44 | { | ||
| 45 |
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780 | const auto shape = fluxVarsCache.throatCrossSectionShape(); |
| 46 |
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780 | const Scalar throatInscribedRadius = fluxVarsCache.throatInscribedRadius(); |
| 47 |
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780 | const Scalar throatLength = fluxVarsCache.throatLength(); |
| 48 |
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780 | const Scalar area = fluxVarsCache.throatCrossSectionalArea(); |
| 49 | 1560 | return singlePhaseTransmissibility(shape, throatInscribedRadius, throatLength, area); | |
| 50 | } | ||
| 51 | |||
| 52 | //! Returns the conductivity of a throat when only one phase is present. | ||
| 53 | static Scalar singlePhaseTransmissibility(const Throat::Shape shape, | ||
| 54 | const Scalar inscribedRadius, | ||
| 55 | const Scalar throatLength, | ||
| 56 | const Scalar area) | ||
| 57 | 780 | { return 1.0 / rHydThroat_(shape, inscribedRadius, throatLength, area); } | |
| 58 | |||
| 59 | protected: | ||
| 60 | |||
| 61 | 785 | static Scalar rHydThroat_(const Throat::Shape shape, | |
| 62 | const Scalar radius, | ||
| 63 | const Scalar length, | ||
| 64 | const Scalar area) | ||
| 65 | { | ||
| 66 |
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785 | switch(shape) |
| 67 | { | ||
| 68 | 457 | case Throat::Shape::square: | |
| 69 | { | ||
| 70 | 457 | const Scalar sideLength = 2.0*radius; | |
| 71 | 457 | return 28.4*length * 1.0/(sideLength*sideLength*sideLength*sideLength); | |
| 72 | } | ||
| 73 | 1 | case Throat::Shape::circle: | |
| 74 | { | ||
| 75 | 1 | return 8.0/M_PI * length * 1.0/(radius*radius*radius*radius); | |
| 76 | } | ||
| 77 | 1 | case Throat::Shape::equilateralTriangle: | |
| 78 | { | ||
| 79 | using std::sqrt; | ||
| 80 | static Scalar sqrt3 = sqrt(3.0); | ||
| 81 | 1 | const Scalar sideLength = 6.0/sqrt3 * radius; | |
| 82 | 1 | return 320.0/sqrt3 * length * 1.0/(sideLength*sideLength*sideLength*sideLength); | |
| 83 | } | ||
| 84 | 325 | case Throat::Shape::twoPlates: | |
| 85 | { | ||
| 86 | // the distance between the two parallel plates | ||
| 87 | 325 | const Scalar width = 2*radius; | |
| 88 | 325 | return 12.0/(width*width*width) * length; | |
| 89 | } | ||
| 90 | 1 | case Throat::Shape::rectangle: | |
| 91 | { | ||
| 92 | // requires width >> height for good accuracy | ||
| 93 | 1 | Scalar height = 2.0*radius; | |
| 94 | 1 | Scalar width = area/height; | |
| 95 | |||
| 96 | using std::swap; | ||
| 97 |
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1 | if (width < height) |
| 98 | ✗ | swap(width, height); | |
| 99 | |||
| 100 | 1 | return 12.0*length / (1.0 - 0.63*(height/width)) * 1.0/(height*height*height*width); | |
| 101 | } | ||
| 102 | ✗ | default: DUNE_THROW(Dune::InvalidStateException, "Throat geometry not supported"); | |
| 103 | } | ||
| 104 | } | ||
| 105 | }; | ||
| 106 | |||
| 107 | /*! | ||
| 108 | * \ingroup Fluidmatrixinteractions | ||
| 109 | * \ingroup PoreNetworkModels | ||
| 110 | * \brief Single-phase flow throat transmissibility based on Patzek & Silin (2001) https://doi.org/10.1006/jcis.2000.7413 | ||
| 111 | */ | ||
| 112 | template<class Scalar, bool considerPoreResistance = false, bool interpolateK = false> | ||
| 113 | class TransmissibilityPatzekSilin | ||
| 114 | { | ||
| 115 | static_assert(!interpolateK, "Interpolation of k not implemented"); | ||
| 116 | public: | ||
| 117 | |||
| 118 | using SinglePhaseCache = EmptyCache; | ||
| 119 | |||
| 120 | template<class Problem, class Element, class FVElementGeometry, class ElementVolumeVariables, class FluxVariablesCache> | ||
| 121 | 7230483 | static Scalar singlePhaseTransmissibility(const Problem& problem, | |
| 122 | const Element& element, | ||
| 123 | const FVElementGeometry& fvGeometry, | ||
| 124 | const typename FVElementGeometry::SubControlVolumeFace& scvf, | ||
| 125 | const ElementVolumeVariables& elemVolVars, | ||
| 126 | const FluxVariablesCache& fluxVarsCache, | ||
| 127 | const int phaseIdx) | ||
| 128 | { | ||
| 129 |
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7230486 | assert(fluxVarsCache.throatCrossSectionShape() != Throat::Shape::twoPlates && "TwoPlates not supported. Use TransmissibilityBruus instead!"); |
| 130 | |||
| 131 | 7230483 | const Scalar shapeFactor = fluxVarsCache.throatShapeFactor(); | |
| 132 |
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7230483 | const Scalar area = fluxVarsCache.throatCrossSectionalArea(); |
| 133 |
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7230483 | const Scalar throatLength = fluxVarsCache.throatLength(); |
| 134 | 14460966 | const Scalar throatTransmissibility = singlePhaseTransmissibility(shapeFactor, throatLength, area); | |
| 135 | |||
| 136 | if constexpr (!considerPoreResistance) | ||
| 137 | 3 | return throatTransmissibility; | |
| 138 | else | ||
| 139 | { | ||
| 140 |
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4 | static const bool considerPoreResistanceOnRuntime = getParamFromGroup<bool>(problem.paramGroup(), "Transmissibility.ConsiderPoreResistance", true); |
| 141 |
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7230480 | if (!considerPoreResistanceOnRuntime) |
| 142 | return throatTransmissibility; | ||
| 143 | |||
| 144 |
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14460960 | const auto& scv0 = fvGeometry.scv(scvf.insideScvIdx()); |
| 145 |
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14460960 | const auto& scv1 = fvGeometry.scv(scvf.outsideScvIdx()); |
| 146 | |||
| 147 |
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7230480 | const auto& spatialParams = problem.spatialParams(); |
| 148 |
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7230480 | const auto elemSol = elementSolution(element, elemVolVars, fvGeometry); |
| 149 | |||
| 150 | // TODO maybe include this in fluxVarsCache if this is general enough | ||
| 151 |
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7230480 | const Scalar poreLength0 = spatialParams.poreLength(element, scv0, elemSol); |
| 152 |
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7230480 | const Scalar poreLength1 = spatialParams.poreLength(element, scv1, elemSol); |
| 153 | |||
| 154 |
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7230480 | const Scalar poreShapeFactor0 = spatialParams.poreShapeFactor(element, scv0, elemSol); |
| 155 |
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7230480 | const Scalar poreShapeFactor1 = spatialParams.poreShapeFactor(element, scv1, elemSol); |
| 156 | |||
| 157 |
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7230480 | const Scalar poreCrossSectionalArea0 = spatialParams.poreCrossSectionalArea(element, scv0, elemSol); |
| 158 |
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7230480 | const Scalar poreCrossSectionalArea1 = spatialParams.poreCrossSectionalArea(element, scv1, elemSol); |
| 159 | |||
| 160 | 14460960 | const Scalar poreTransmissibility0 = singlePhaseTransmissibility(poreShapeFactor0, poreLength0, poreCrossSectionalArea0); | |
| 161 | 14460960 | const Scalar poreTransmissibility1 = singlePhaseTransmissibility(poreShapeFactor1, poreLength1, poreCrossSectionalArea1); | |
| 162 | |||
| 163 | 7230480 | return 1 / (1.0/throatTransmissibility + 1.0/poreTransmissibility0 + 1.0/poreTransmissibility1); | |
| 164 | } | ||
| 165 | } | ||
| 166 | |||
| 167 | //! Returns the conductivity of a throat when only one phase is present. See Patzek & Silin (2001) | ||
| 168 | static Scalar singlePhaseTransmissibility(const Scalar shapeFactor, | ||
| 169 | const Scalar length, | ||
| 170 | const Scalar area) | ||
| 171 | { | ||
| 172 | 21691446 | const Scalar k = k_(shapeFactor); | |
| 173 |
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7230483 | return k * area*area * shapeFactor / length; |
| 174 | } | ||
| 175 | |||
| 176 | private: | ||
| 177 | static Scalar k_(const Scalar shapeFactor) | ||
| 178 | { | ||
| 179 |
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10845723 | if (shapeFactor <= Throat::shapeFactorEquilateralTriangle<Scalar>()) |
| 180 | return 0.6; // == 3/5 | ||
| 181 |
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10845722 | else if (shapeFactor <= Throat::shapeFactorSquare<Scalar>()) |
| 182 | return 0.5623; | ||
| 183 | else // circle | ||
| 184 | return 0.5; | ||
| 185 | } | ||
| 186 | |||
| 187 | // TODO interpolation | ||
| 188 | }; | ||
| 189 | |||
| 190 | |||
| 191 | //! Used by Joeakar-Niasar | ||
| 192 | template<class Scalar> | ||
| 193 | class TransmissibilityAzzamDullien | ||
| 194 | { | ||
| 195 | public: | ||
| 196 | |||
| 197 | using SinglePhaseCache = EmptyCache; | ||
| 198 | |||
| 199 | template<class Problem, class Element, class FVElementGeometry, class ElementVolumeVariables, class FluxVariablesCache> | ||
| 200 | ✗ | static Scalar singlePhaseTransmissibility(const Problem& problem, | |
| 201 | const Element& element, | ||
| 202 | const FVElementGeometry& fvGeometry, | ||
| 203 | const typename FVElementGeometry::SubControlVolumeFace& scvf, | ||
| 204 | const ElementVolumeVariables& elemVolVars, | ||
| 205 | const FluxVariablesCache& fluxVarsCache, | ||
| 206 | const int phaseIdx) | ||
| 207 | { | ||
| 208 | 328526 | const Scalar throatInscribedRadius = fluxVarsCache.throatInscribedRadius(); | |
| 209 | 328526 | const Scalar throatLength = fluxVarsCache.throatLength(); | |
| 210 | 657052 | return singlePhaseTransmissibility(throatInscribedRadius, throatLength); | |
| 211 | } | ||
| 212 | |||
| 213 | //! Returns the conductivity of a throat when only one phase is present. | ||
| 214 | static Scalar singlePhaseTransmissibility(const Scalar radius, | ||
| 215 | const Scalar length) | ||
| 216 | { | ||
| 217 | 328526 | const Scalar rEff= std::sqrt(4.0/M_PI)*radius ; | |
| 218 | 328526 | return M_PI/(8.0*length) *rEff*rEff*rEff*rEff ; | |
| 219 | } | ||
| 220 | }; | ||
| 221 | |||
| 222 | } // end namespace Dumux::Porenetwork | ||
| 223 | |||
| 224 | #endif | ||
| 225 |