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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 | #ifndef DUMUX_TEST_FREEFLOW_PIPE_PROBLEM_HH | ||
| 9 | #define DUMUX_TEST_FREEFLOW_PIPE_PROBLEM_HH | ||
| 10 | |||
| 11 | #include <dumux/common/parameters.hh> | ||
| 12 | #include <dumux/common/properties.hh> | ||
| 13 | |||
| 14 | #include <dumux/freeflow/navierstokes/momentum/fluxhelper.hh> | ||
| 15 | #include <dumux/freeflow/navierstokes/scalarfluxhelper.hh> | ||
| 16 | #include <dumux/freeflow/navierstokes/mass/1p/advectiveflux.hh> | ||
| 17 | |||
| 18 | namespace Dumux { | ||
| 19 | /*! | ||
| 20 | * \ingroup NavierStokesTests | ||
| 21 | * \brief Freeflow problem for pipe flow | ||
| 22 | * Simulation of a radially-symmetric pipe flow with circular cross-section | ||
| 23 | */ | ||
| 24 | template <class TypeTag, class BaseProblem> | ||
| 25 | class FreeFlowPipeProblem : public BaseProblem | ||
| 26 | { | ||
| 27 | using ParentType = BaseProblem; | ||
| 28 | using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>; | ||
| 29 | using FVElementGeometry = typename GridGeometry::LocalView; | ||
| 30 | using SubControlVolume = typename FVElementGeometry::SubControlVolume; | ||
| 31 | using SubControlVolumeFace = typename FVElementGeometry::SubControlVolumeFace; | ||
| 32 | using GridView = typename GridGeometry::GridView; | ||
| 33 | using Scalar = GetPropType<TypeTag, Properties::Scalar>; | ||
| 34 | using ModelTraits = GetPropType<TypeTag, Properties::ModelTraits>; | ||
| 35 | using Element = typename GridView::template Codim<0>::Entity; | ||
| 36 | using GlobalPosition = typename Element::Geometry::GlobalCoordinate; | ||
| 37 | using InitialValues = typename ParentType::InitialValues; | ||
| 38 | using Sources = typename ParentType::Sources; | ||
| 39 | using DirichletValues = typename ParentType::DirichletValues; | ||
| 40 | using BoundaryFluxes = typename ParentType::BoundaryFluxes; | ||
| 41 | using BoundaryTypes = typename ParentType::BoundaryTypes; | ||
| 42 | using CouplingManager = GetPropType<TypeTag, Properties::CouplingManager>; | ||
| 43 | |||
| 44 | public: | ||
| 45 | using Indices = typename ModelTraits::Indices; | ||
| 46 | |||
| 47 | 12 | FreeFlowPipeProblem(std::shared_ptr<const GridGeometry> gridGeometry, std::shared_ptr<CouplingManager> couplingManager) | |
| 48 |
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48 | : ParentType(gridGeometry, couplingManager) |
| 49 | |||
| 50 | { | ||
| 51 |
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24 | name_ = getParamFromGroup<std::string>(this->paramGroup(), "Problem.Name"); |
| 52 |
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12 | meanInletVelocity_ = getParamFromGroup<Scalar>(this->paramGroup(), "Problem.MeanInletVelocity"); |
| 53 |
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12 | initialPressure_ = getParamFromGroup<Scalar>(this->paramGroup(), "Problem.InitialPressure"); |
| 54 |
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12 | const Scalar nu = getParam<Scalar>("Component.LiquidKinematicViscosity"); |
| 55 |
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12 | rho_ = getParam<Scalar>("Component.LiquidDensity"); |
| 56 | 12 | mu_ = nu*rho_; | |
| 57 | |||
| 58 | 72 | pipeRadius_ = this->gridGeometry().bBoxMax()[0] - this->gridGeometry().bBoxMin()[0]; | |
| 59 | 72 | pipeLength_ = this->gridGeometry().bBoxMax()[1] - this->gridGeometry().bBoxMin()[1]; | |
| 60 | 12 | eps_ = 1e-7*pipeRadius_; | |
| 61 | |||
| 62 |
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24 | std::cout << "-- Reynolds number: " << 2*pipeRadius_*meanInletVelocity_/nu << std::endl; |
| 63 | 12 | } | |
| 64 | |||
| 65 | const std::string& name() const | ||
| 66 | { | ||
| 67 |
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12 | return name_; |
| 68 | } | ||
| 69 | |||
| 70 | /*! | ||
| 71 | * \brief Specifies which kind of boundary condition should be | ||
| 72 | * used for which equation on a given boundary segment. | ||
| 73 | */ | ||
| 74 | 52408 | BoundaryTypes boundaryTypesAtPos(const GlobalPosition& globalPos) const | |
| 75 | { | ||
| 76 |
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112608 | BoundaryTypes values; |
| 77 | |||
| 78 | if constexpr (ParentType::isMomentumProblem()) | ||
| 79 | { | ||
| 80 | 204872 | if (onLowerBoundary_(globalPos) || onOuterBoundary_(globalPos)) | |
| 81 | values.setAllDirichlet(); | ||
| 82 | 52408 | else if (onInnerBoundary_(globalPos)) | |
| 83 | { | ||
| 84 | 23824 | values.setDirichlet(Indices::velocityXIdx); | |
| 85 | 23824 | values.setNeumann(Indices::momentumYBalanceIdx); | |
| 86 | } | ||
| 87 | else | ||
| 88 | values.setAllNeumann(); | ||
| 89 | } | ||
| 90 | else | ||
| 91 |
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60200 | values.setAllNeumann(); |
| 92 | |||
| 93 | 52408 | return values; | |
| 94 | } | ||
| 95 | |||
| 96 | /*! | ||
| 97 | * \brief Evaluates the boundary conditions for a Neumann control volume. | ||
| 98 | * | ||
| 99 | * \param element The element for which the Neumann boundary condition is set | ||
| 100 | * \param fvGeometry The fvGeometry | ||
| 101 | * \param elemVolVars The element volume variables | ||
| 102 | * \param elemFaceVars The element face variables | ||
| 103 | * \param scvf The boundary sub control volume face | ||
| 104 | */ | ||
| 105 | template<class ElementVolumeVariables, class ElementFluxVariablesCache> | ||
| 106 | 195592 | BoundaryFluxes neumann(const Element& element, | |
| 107 | const FVElementGeometry& fvGeometry, | ||
| 108 | const ElementVolumeVariables& elemVolVars, | ||
| 109 | const ElementFluxVariablesCache& elemFluxVarsCache, | ||
| 110 | const SubControlVolumeFace& scvf) const | ||
| 111 | { | ||
| 112 |
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195592 | BoundaryFluxes values(0.0); |
| 113 |
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195592 | const auto& globalPos = scvf.ipGlobal(); |
| 114 | |||
| 115 | if constexpr (ParentType::isMomentumProblem()) | ||
| 116 | { | ||
| 117 | 205824 | if (onInnerBoundary_(globalPos)) | |
| 118 | 83784 | return values; // zero shear stress at symmetry axis | |
| 119 | 38256 | if (onUpperBoundary_(globalPos)) | |
| 120 | 38256 | values = NavierStokesMomentumBoundaryFluxHelper::fixedPressureMomentumFlux(*this, fvGeometry, scvf, elemVolVars, elemFluxVarsCache, analyticalPressure(globalPos), true /*zeroNormalVelocityGradient*/); | |
| 121 | } | ||
| 122 | else | ||
| 123 | { | ||
| 124 | using FluxHelper = NavierStokesScalarBoundaryFluxHelper<AdvectiveFlux<ModelTraits>>; | ||
| 125 | 362040 | if (onLowerBoundary_(globalPos) || onUpperBoundary_(globalPos)) | |
| 126 | 8680 | values = FluxHelper::scalarOutflowFlux(*this, element, fvGeometry, scvf, elemVolVars); | |
| 127 | } | ||
| 128 | |||
| 129 | 111808 | return values; | |
| 130 | } | ||
| 131 | |||
| 132 | /*! | ||
| 133 | * \brief Evaluates the initial value for a control volume. | ||
| 134 | * | ||
| 135 | * \param globalPos The global position | ||
| 136 | */ | ||
| 137 | ✗ | InitialValues initialAtPos(const GlobalPosition& globalPos) const | |
| 138 | { | ||
| 139 | 63770 | InitialValues values(0.0); | |
| 140 | if constexpr (ParentType::isMomentumProblem()) | ||
| 141 | 42770 | return values; | |
| 142 | else | ||
| 143 | 21000 | values[Indices::pressureIdx] = initialPressure_; | |
| 144 | |||
| 145 | ✗ | return values; | |
| 146 | } | ||
| 147 | |||
| 148 | DirichletValues dirichletAtPos(const GlobalPosition& globalPos) const | ||
| 149 | 16194 | { return analyticalSolution(globalPos); } | |
| 150 | |||
| 151 | ✗ | DirichletValues analyticalSolution(const GlobalPosition& globalPos, Scalar time = 0.0) const | |
| 152 | { | ||
| 153 |
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84000 | DirichletValues values(0.0); |
| 154 | |||
| 155 | // paraboloid velocity profile | ||
| 156 | if constexpr (ParentType::isMomentumProblem()) | ||
| 157 | { | ||
| 158 | ✗ | const auto r = globalPos[0] - this->gridGeometry().bBoxMin()[0]; | |
| 159 | ✗ | values[Indices::velocityXIdx] = 0.0; | |
| 160 | ✗ | values[Indices::velocityYIdx] = 2.0*meanInletVelocity_*(1.0 - r*r/(pipeRadius_*pipeRadius_)); | |
| 161 | } | ||
| 162 | else | ||
| 163 | 168000 | values[Indices::pressureIdx] = analyticalPressure(globalPos); | |
| 164 | |||
| 165 | ✗ | return values; | |
| 166 | } | ||
| 167 | |||
| 168 | Scalar analyticalPressure(const GlobalPosition& globalPos) const | ||
| 169 | { | ||
| 170 |
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93564 | const auto y = globalPos[1]; |
| 171 |
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93564 | return (pipeLength_-y)*meanInletVelocity_*8.0*mu_/(pipeRadius_*pipeRadius_); |
| 172 | } | ||
| 173 | |||
| 174 | Scalar analyticalMassFlux() const | ||
| 175 | { | ||
| 176 | return meanInletVelocity_ * M_PI * pipeRadius_*pipeRadius_ * rho_; | ||
| 177 | } | ||
| 178 | |||
| 179 | private: | ||
| 180 | bool onInnerBoundary_(const GlobalPosition &globalPos) const | ||
| 181 |
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322790 | { return globalPos[0] < this->gridGeometry().bBoxMin()[0] + eps_; } |
| 182 | |||
| 183 | bool onOuterBoundary_(const GlobalPosition &globalPos) const | ||
| 184 |
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125070 | { return globalPos[0] > this->gridGeometry().bBoxMax()[0] - eps_; } |
| 185 | |||
| 186 | bool onLowerBoundary_(const GlobalPosition &globalPos) const | ||
| 187 |
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362720 | { return globalPos[1] < this->gridGeometry().bBoxMin()[1] + eps_; } |
| 188 | |||
| 189 | bool onUpperBoundary_(const GlobalPosition &globalPos) const | ||
| 190 |
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268670 | { return globalPos[1] > this->gridGeometry().bBoxMax()[1] - eps_; } |
| 191 | |||
| 192 | std::string name_; | ||
| 193 | Scalar initialPressure_; | ||
| 194 | Scalar meanInletVelocity_; | ||
| 195 | Scalar mu_; | ||
| 196 | Scalar rho_; | ||
| 197 | Scalar pipeRadius_, pipeLength_; | ||
| 198 | Scalar eps_; | ||
| 199 | }; | ||
| 200 | |||
| 201 | } // end namespace Dumux | ||
| 202 | |||
| 203 | #endif | ||
| 204 |