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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 | namespace Dumux { | ||
15 | /*! | ||
16 | * \ingroup NavierStokesTests | ||
17 | * \brief Freeflow problem for pipe flow | ||
18 | * Simulation of a radially-symmetric pipe flow with circular cross-section | ||
19 | */ | ||
20 | template <class TypeTag, class BaseProblem> | ||
21 | class FreeFlowPipeProblem : public BaseProblem | ||
22 | { | ||
23 | using ParentType = BaseProblem; | ||
24 | using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>; | ||
25 | using FVElementGeometry = typename GridGeometry::LocalView; | ||
26 | using SubControlVolume = typename FVElementGeometry::SubControlVolume; | ||
27 | using SubControlVolumeFace = typename FVElementGeometry::SubControlVolumeFace; | ||
28 | using GridView = typename GridGeometry::GridView; | ||
29 | using Scalar = GetPropType<TypeTag, Properties::Scalar>; | ||
30 | using ModelTraits = GetPropType<TypeTag, Properties::ModelTraits>; | ||
31 | using Element = typename GridView::template Codim<0>::Entity; | ||
32 | using GlobalPosition = typename Element::Geometry::GlobalCoordinate; | ||
33 | using InitialValues = typename ParentType::InitialValues; | ||
34 | using Sources = typename ParentType::Sources; | ||
35 | using DirichletValues = typename ParentType::DirichletValues; | ||
36 | using BoundaryFluxes = typename ParentType::BoundaryFluxes; | ||
37 | using BoundaryTypes = typename ParentType::BoundaryTypes; | ||
38 | |||
39 | public: | ||
40 | using Indices = typename ModelTraits::Indices; | ||
41 | |||
42 | 6 | FreeFlowPipeProblem(std::shared_ptr<const GridGeometry> gridGeometry) | |
43 |
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18 | : ParentType(gridGeometry) |
44 | { | ||
45 |
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12 | name_ = getParamFromGroup<std::string>(this->paramGroup(), "Problem.Name"); |
46 |
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6 | meanInletVelocity_ = getParamFromGroup<Scalar>(this->paramGroup(), "Problem.MeanInletVelocity"); |
47 |
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6 | const Scalar nu = getParam<Scalar>("Component.LiquidKinematicViscosity"); |
48 |
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6 | rho_ = getParam<Scalar>("Component.LiquidDensity"); |
49 | 6 | mu_ = nu*rho_; | |
50 | |||
51 | 36 | pipeRadius_ = this->gridGeometry().bBoxMax()[0] - this->gridGeometry().bBoxMin()[0]; | |
52 | 36 | pipeLength_ = this->gridGeometry().bBoxMax()[1] - this->gridGeometry().bBoxMin()[1]; | |
53 | 6 | eps_ = 1e-7*pipeRadius_; | |
54 | |||
55 |
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12 | std::cout << "-- Reynolds number: " << 2*pipeRadius_*meanInletVelocity_/nu << std::endl; |
56 | 6 | } | |
57 | |||
58 | const std::string& name() const | ||
59 | { | ||
60 |
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12 | return name_; |
61 | } | ||
62 | |||
63 | /*! | ||
64 | * \brief Specifies which kind of boundary condition should be | ||
65 | * used for which equation on a given boundary segment. | ||
66 | */ | ||
67 | 9216 | BoundaryTypes boundaryTypesAtPos(const GlobalPosition& globalPos) const | |
68 | { | ||
69 | 9216 | BoundaryTypes values; | |
70 | |||
71 | if constexpr (ParentType::isMomentumProblem()) | ||
72 | { | ||
73 | 36024 | if (onLowerBoundary_(globalPos) || onOuterBoundary_(globalPos)) | |
74 | values.setAllDirichlet(); | ||
75 | 9204 | else if (onInnerBoundary_(globalPos)) | |
76 | { | ||
77 | 4194 | values.setDirichlet(Indices::velocityXIdx); | |
78 | 4194 | values.setNeumann(Indices::momentumYBalanceIdx); | |
79 | } | ||
80 | else | ||
81 | values.setAllNeumann(); | ||
82 | } | ||
83 | else | ||
84 | values.setAllNeumann(); | ||
85 | |||
86 | 9216 | return values; | |
87 | } | ||
88 | |||
89 | /*! | ||
90 | * \brief Evaluates the boundary conditions for a Neumann control volume. | ||
91 | * | ||
92 | * \param element The element for which the Neumann boundary condition is set | ||
93 | * \param fvGeometry The fvGeometry | ||
94 | * \param elemVolVars The element volume variables | ||
95 | * \param elemFaceVars The element face variables | ||
96 | * \param scvf The boundary sub control volume face | ||
97 | */ | ||
98 | template<class ElementVolumeVariables, class ElementFluxVariablesCache> | ||
99 | 47608 | BoundaryFluxes neumann(const Element& element, | |
100 | const FVElementGeometry& fvGeometry, | ||
101 | const ElementVolumeVariables& elemVolVars, | ||
102 | const ElementFluxVariablesCache& elemFluxVarsCache, | ||
103 | const SubControlVolumeFace& scvf) const | ||
104 | { | ||
105 | 47608 | BoundaryFluxes values(0.0); | |
106 |
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47608 | const auto& globalPos = scvf.ipGlobal(); |
107 | |||
108 | if constexpr (ParentType::isMomentumProblem()) | ||
109 | { | ||
110 | 95216 | if (onInnerBoundary_(globalPos)) | |
111 | values = 0.0; // zero shear stress at symmetry axis | ||
112 | 8548 | else if (onUpperBoundary_(globalPos)) | |
113 | 4274 | values.axpy(analyticalPressure(globalPos), scvf.unitOuterNormal()); | |
114 | } | ||
115 | else | ||
116 | { | ||
117 | const auto insideDensity = elemVolVars[scvf.insideScvIdx()].density(); | ||
118 | values[Indices::conti0EqIdx] = this->faceVelocity(element, fvGeometry, scvf) * insideDensity * scvf.unitOuterNormal(); | ||
119 | } | ||
120 | |||
121 | 47608 | return values; | |
122 | } | ||
123 | |||
124 | DirichletValues dirichletAtPos(const GlobalPosition& globalPos) const | ||
125 | 8808 | { return analyticalSolution(globalPos); } | |
126 | |||
127 | ✗ | DirichletValues analyticalSolution(const GlobalPosition& globalPos, Scalar time = 0.0) const | |
128 | { | ||
129 | ✗ | DirichletValues values(0.0); | |
130 | |||
131 | // paraboloid velocity profile | ||
132 | if constexpr (ParentType::isMomentumProblem()) | ||
133 | { | ||
134 | ✗ | const auto r = globalPos[0] - this->gridGeometry().bBoxMin()[0]; | |
135 | ✗ | values[Indices::velocityXIdx] = 0.0; | |
136 | ✗ | values[Indices::velocityYIdx] = 2.0*meanInletVelocity_*(1.0 - r*r/(pipeRadius_*pipeRadius_)); | |
137 | } | ||
138 | else | ||
139 | values[Indices::pressureIdx] = analyticalPressure(globalPos); | ||
140 | |||
141 | ✗ | return values; | |
142 | } | ||
143 | |||
144 | ✗ | Scalar densityAtPos(const GlobalPosition& globalPos) const | |
145 | ✗ | { return rho_; } | |
146 | |||
147 | ✗ | Scalar effectiveViscosityAtPos(const GlobalPosition& globalPos) const | |
148 | ✗ | { return mu_; } | |
149 | |||
150 | Scalar pressureAtPos(const GlobalPosition& globalPos) const | ||
151 | 18060000 | { return analyticalPressure(globalPos); } | |
152 | |||
153 | Scalar analyticalPressure(const GlobalPosition& globalPos) const | ||
154 | { | ||
155 | 5254274 | const auto y = globalPos[1]; | |
156 | 5254274 | return (pipeLength_-y)*meanInletVelocity_*8.0*mu_/(pipeRadius_*pipeRadius_); | |
157 | } | ||
158 | |||
159 | Scalar analyticalMassFlux() const | ||
160 | { | ||
161 | return meanInletVelocity_ * M_PI * pipeRadius_*pipeRadius_ * rho_; | ||
162 | } | ||
163 | |||
164 | private: | ||
165 | bool onInnerBoundary_(const GlobalPosition &globalPos) const | ||
166 |
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261050 | { return globalPos[0] < this->gridGeometry().bBoxMin()[0] + eps_; } |
167 | |||
168 | bool onOuterBoundary_(const GlobalPosition &globalPos) const | ||
169 |
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43980 | { return globalPos[0] > this->gridGeometry().bBoxMax()[0] - eps_; } |
170 | |||
171 | bool onLowerBoundary_(const GlobalPosition &globalPos) const | ||
172 |
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46080 | { return globalPos[1] < this->gridGeometry().bBoxMin()[1] + eps_; } |
173 | |||
174 | bool onUpperBoundary_(const GlobalPosition &globalPos) const | ||
175 |
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21370 | { return globalPos[1] > this->gridGeometry().bBoxMax()[1] - eps_; } |
176 | |||
177 | std::string name_; | ||
178 | Scalar initialPressure_; | ||
179 | Scalar meanInletVelocity_; | ||
180 | Scalar mu_; | ||
181 | Scalar rho_; | ||
182 | Scalar pipeRadius_, pipeLength_; | ||
183 | Scalar eps_; | ||
184 | }; | ||
185 | |||
186 | } // end namespace Dumux | ||
187 | |||
188 | #endif | ||
189 |