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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 OnePNCTests | ||
10 | * \brief Test for the OnePNCModel in combination with the NI model for a conduction problem. | ||
11 | * | ||
12 | * The simulation domain is a tube with an elevated temperature on the left hand side. | ||
13 | */ | ||
14 | #ifndef DUMUX_1P2CNI_CONDUCTION_TEST_PROBLEM_HH | ||
15 | #define DUMUX_1P2CNI_CONDUCTION_TEST_PROBLEM_HH | ||
16 | |||
17 | #include <dumux/common/properties.hh> | ||
18 | #include <dumux/common/parameters.hh> | ||
19 | |||
20 | #include <dumux/common/boundarytypes.hh> | ||
21 | #include <dumux/common/numeqvector.hh> | ||
22 | #include <dumux/porousmediumflow/problem.hh> | ||
23 | |||
24 | #include <dumux/material/components/h2o.hh> | ||
25 | namespace Dumux { | ||
26 | |||
27 | /*! | ||
28 | * \ingroup OnePNCTests | ||
29 | * \brief Definition of a problem, for the 1pnc problem. | ||
30 | * | ||
31 | * Nitrogen is dissolved in the water phase and | ||
32 | * is transported with the water flow from the left side to the right. | ||
33 | * | ||
34 | * The model domain is specified in the input file and | ||
35 | * we use homogeneous soil properties. | ||
36 | * Initially, the domain is filled with pure water. | ||
37 | * | ||
38 | * At the left side, a Dirichlet condition defines the nitrogen mole fraction. | ||
39 | * The water phase flows from the left side to the right if the applied pressure | ||
40 | * gradient is >0. The nitrogen is transported with the water flow | ||
41 | * and leaves the domain at the boundary, where again Dirichlet boundary | ||
42 | * conditions are applied. | ||
43 | * | ||
44 | * This problem uses the \ref OnePNCModel model. | ||
45 | */ | ||
46 | template <class TypeTag> | ||
47 | class OnePTwoCNIConductionProblem : public PorousMediumFlowProblem<TypeTag> | ||
48 | { | ||
49 | using ParentType = PorousMediumFlowProblem<TypeTag>; | ||
50 | |||
51 | using Scalar = GetPropType<TypeTag, Properties::Scalar>; | ||
52 | using Indices = typename GetPropType<TypeTag, Properties::ModelTraits>::Indices; | ||
53 | using GridView = typename GetPropType<TypeTag, Properties::GridGeometry>::GridView; | ||
54 | using FluidSystem = GetPropType<TypeTag, Properties::FluidSystem>; | ||
55 | using BoundaryTypes = Dumux::BoundaryTypes<GetPropType<TypeTag, Properties::ModelTraits>::numEq()>; | ||
56 | using PrimaryVariables = GetPropType<TypeTag, Properties::PrimaryVariables>; | ||
57 | using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>; | ||
58 | using NumEqVector = Dumux::NumEqVector<PrimaryVariables>; | ||
59 | using Element = typename GridView::template Codim<0>::Entity; | ||
60 | using ThermalConductivityModel = GetPropType<TypeTag, Properties::ThermalConductivityModel>; | ||
61 | using SolutionVector = GetPropType<TypeTag, Properties::SolutionVector>; | ||
62 | using VolumeVariables = GetPropType<TypeTag, Properties::VolumeVariables>; | ||
63 | using IapwsH2O = Components::H2O<Scalar>; | ||
64 | |||
65 | // copy some indices for convenience | ||
66 | enum | ||
67 | { | ||
68 | // indices of the primary variables | ||
69 | pressureIdx = Indices::pressureIdx, | ||
70 | temperatureIdx = Indices::temperatureIdx, | ||
71 | |||
72 | N2Idx = FluidSystem::compIdx(FluidSystem::MultiPhaseFluidSystem::N2Idx) | ||
73 | }; | ||
74 | |||
75 | //! Property that defines whether mole or mass fractions are used | ||
76 | static constexpr bool useMoles = getPropValue<TypeTag, Properties::UseMoles>(); | ||
77 | static const int dimWorld = GridView::dimensionworld; | ||
78 | using GlobalPosition = typename Element::Geometry::GlobalCoordinate; | ||
79 | |||
80 | public: | ||
81 | 3 | OnePTwoCNIConductionProblem(std::shared_ptr<const GridGeometry> gridGeometry) | |
82 |
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9 | : ParentType(gridGeometry), temperatureHigh_(300.0) |
83 | { | ||
84 | //initialize fluid system | ||
85 |
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3 | FluidSystem::init(); |
86 | |||
87 | // stating in the console whether mole or mass fractions are used | ||
88 | if(useMoles) | ||
89 |
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6 | std::cout<<"problem uses mole fractions"<<std::endl; |
90 | else | ||
91 | std::cout<<"problem uses mass fractions"<<std::endl; | ||
92 | |||
93 |
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7 | temperatureExact_.resize(gridGeometry->numDofs(), 290.0); |
94 | 3 | } | |
95 | |||
96 | //! Get the analytical temperature | ||
97 | const std::vector<Scalar>& getExactTemperature() | ||
98 | { | ||
99 |
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3 | return temperatureExact_; |
100 | } | ||
101 | |||
102 | //! Update the analytical temperature | ||
103 | 72 | void updateExactTemperature(const SolutionVector& curSol, Scalar time) | |
104 | { | ||
105 | 216 | const auto someElement = *(elements(this->gridGeometry().gridView()).begin()); | |
106 | |||
107 | 144 | auto someElemSol = elementSolution(someElement, curSol, this->gridGeometry()); | |
108 | 144 | const auto someInitSol = initialAtPos(someElement.geometry().center()); | |
109 | |||
110 |
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288 | const auto someFvGeometry = localView(this->gridGeometry()).bindElement(someElement); |
111 |
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72 | const auto someScv = *(scvs(someFvGeometry).begin()); |
112 | |||
113 |
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72 | VolumeVariables volVars; |
114 |
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72 | volVars.update(someElemSol, *this, someElement, someScv); |
115 | |||
116 |
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144 | const auto porosity = this->spatialParams().porosity(someElement, someScv, someElemSol); |
117 |
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72 | const auto densityW = volVars.density(); |
118 |
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216 | const auto heatCapacityW = IapwsH2O::liquidHeatCapacity(someInitSol[temperatureIdx], someInitSol[pressureIdx]); |
119 |
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72 | const auto densityS = volVars.solidDensity(); |
120 |
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72 | const auto heatCapacityS = volVars.solidHeatCapacity(); |
121 | 72 | const auto storage = densityW*heatCapacityW*porosity + densityS*heatCapacityS*(1 - porosity); | |
122 |
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72 | const auto effectiveThermalConductivity = ThermalConductivityModel::effectiveThermalConductivity(volVars); |
123 | using std::max; | ||
124 |
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72 | time = max(time, 1e-10); |
125 | |||
126 |
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216 | auto fvGeometry = localView(this->gridGeometry()); |
127 |
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14616 | for (const auto& element : elements(this->gridGeometry().gridView())) |
128 | { | ||
129 |
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14400 | fvGeometry.bindElement(element); |
130 |
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67200 | for (auto&& scv : scvs(fvGeometry)) |
131 | { | ||
132 | 28800 | auto globalIdx = scv.dofIndex(); | |
133 | 28800 | const auto& globalPos = scv.dofPosition(); | |
134 | using std::erf; | ||
135 | using std::sqrt; | ||
136 | 57600 | temperatureExact_[globalIdx] = temperatureHigh_ + (someInitSol[temperatureIdx] - temperatureHigh_) | |
137 | 86400 | *erf(0.5*sqrt(globalPos[0]*globalPos[0]*storage/time/effectiveThermalConductivity)); | |
138 | |||
139 | } | ||
140 | } | ||
141 | 72 | } | |
142 | |||
143 | /*! | ||
144 | * \name Problem parameters | ||
145 | */ | ||
146 | // \{ | ||
147 | |||
148 | /*! | ||
149 | * \brief Returns the temperature within the domain [K]. | ||
150 | * | ||
151 | * This problem assumes a temperature of 20 degrees Celsius. | ||
152 | */ | ||
153 | Scalar temperature() const | ||
154 | { return 273.15 + 20; } // in [K] | ||
155 | |||
156 | // \} | ||
157 | |||
158 | /*! | ||
159 | * \name Boundary conditions | ||
160 | */ | ||
161 | // \{ | ||
162 | |||
163 | /*! | ||
164 | * \brief Specifies which kind of boundary condition should be | ||
165 | * used for which equation on a given boundary segment. | ||
166 | * | ||
167 | * \param globalPos The position for which the bc type should be evaluated | ||
168 | */ | ||
169 | 925662 | BoundaryTypes boundaryTypesAtPos(const GlobalPosition &globalPos) const | |
170 | { | ||
171 | 925662 | BoundaryTypes values; | |
172 | |||
173 |
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1851324 | if(globalPos[0] < eps_ || globalPos[0] > this->gridGeometry().bBoxMax()[0] - eps_) |
174 | { | ||
175 | values.setAllDirichlet(); | ||
176 | } | ||
177 | else | ||
178 | { | ||
179 | values.setAllNeumann(); | ||
180 | } | ||
181 | |||
182 | 925662 | return values; | |
183 | } | ||
184 | |||
185 | /*! | ||
186 | * \brief Evaluates the boundary conditions for a Dirichlet boundary segment. | ||
187 | * | ||
188 | * \param globalPos The position for which the bc type should be evaluated | ||
189 | */ | ||
190 | ✗ | PrimaryVariables dirichletAtPos(const GlobalPosition &globalPos) const | |
191 | { | ||
192 | 1412 | PrimaryVariables values = initial_(globalPos); | |
193 | |||
194 | // condition for the temperature at left boundary | ||
195 |
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706 | if (globalPos[0] < eps_) |
196 | 706 | values[temperatureIdx] = temperatureHigh_; | |
197 | |||
198 | ✗ | return values; | |
199 | } | ||
200 | |||
201 | /*! | ||
202 | * \brief Evaluates the boundary conditions for a Neumann boundary segment. | ||
203 | */ | ||
204 | ✗ | NumEqVector neumannAtPos(const GlobalPosition &globalPos) const | |
205 |
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2470888 | { return NumEqVector(0.0); } |
206 | |||
207 | // \} | ||
208 | |||
209 | /*! | ||
210 | * \name Volume terms | ||
211 | */ | ||
212 | // \{ | ||
213 | |||
214 | /*! | ||
215 | * \brief Evaluates the source term for all phases within a given | ||
216 | * sub-control volume. | ||
217 | * | ||
218 | * For this method, the \a priVars parameter stores the rate mass | ||
219 | * of a component is generated or annihilated per volume | ||
220 | * unit. Positive values mean that mass is created, negative ones | ||
221 | * mean that it vanishes. | ||
222 | * | ||
223 | * The units must be according to either using mole or mass fractions (mole/(m^3*s) or kg/(m^3*s)). | ||
224 | */ | ||
225 | ✗ | NumEqVector sourceAtPos(const GlobalPosition &globalPos) const | |
226 | 804000 | { return NumEqVector(0.0); } | |
227 | |||
228 | /*! | ||
229 | * \brief Evaluates the initial value for a control volume. | ||
230 | * | ||
231 | * \param globalPos The position for which the initial condition should be evaluated | ||
232 | * | ||
233 | * For this method, the \a values parameter stores primary | ||
234 | * variables. | ||
235 | */ | ||
236 | ✗ | PrimaryVariables initialAtPos(const GlobalPosition &globalPos) const | |
237 | 874 | { return initial_(globalPos); } | |
238 | |||
239 | // \} | ||
240 | private: | ||
241 | |||
242 | // the internal method for the initial condition | ||
243 | ✗ | PrimaryVariables initial_(const GlobalPosition &globalPos) const | |
244 | { | ||
245 | 1580 | PrimaryVariables priVars; | |
246 |
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1580 | priVars[pressureIdx] = 1e5; // initial condition for the pressure |
247 |
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1580 | priVars[N2Idx] = 1e-5; // initial condition for the N2 molefraction |
248 |
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3160 | priVars[temperatureIdx] = 290.; |
249 | ✗ | return priVars; | |
250 | } | ||
251 | static constexpr Scalar eps_ = 1e-6; | ||
252 | Scalar temperatureHigh_; | ||
253 | std::vector<Scalar> temperatureExact_; | ||
254 | }; | ||
255 | |||
256 | } // end namespace Dumux | ||
257 | |||
258 | #endif | ||
259 |