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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 OnePTests | ||
10 | * \brief Test for the OnePModel in combination with the NI model for a convection problem. | ||
11 | * | ||
12 | * The simulation domain is a tube where water with an elevated temperature is injected | ||
13 | * at a constant rate on the left hand side. | ||
14 | */ | ||
15 | |||
16 | #ifndef DUMUX_1PNI_CONVECTION_PROBLEM_HH | ||
17 | #define DUMUX_1PNI_CONVECTION_PROBLEM_HH | ||
18 | |||
19 | #include <cmath> | ||
20 | |||
21 | #include <dumux/common/properties.hh> | ||
22 | #include <dumux/common/parameters.hh> | ||
23 | |||
24 | #include <dumux/common/boundarytypes.hh> | ||
25 | #include <dumux/common/numeqvector.hh> | ||
26 | #include <dumux/porousmediumflow/problem.hh> | ||
27 | |||
28 | #include <dumux/material/components/h2o.hh> | ||
29 | namespace Dumux { | ||
30 | |||
31 | /*! | ||
32 | * \ingroup OnePTests | ||
33 | * \brief Test for the OnePModel in combination with the NI model for a convection problem. | ||
34 | * | ||
35 | * The simulation domain is a tube where water with an elevated temperature is injected | ||
36 | * at a constant rate on the left hand side. | ||
37 | * | ||
38 | * Initially the domain is fully saturated with water at a constant temperature. | ||
39 | * On the left hand side water is injected at a constant rate and on the right hand side | ||
40 | * a Dirichlet boundary with constant pressure, saturation and temperature is applied. | ||
41 | * | ||
42 | * The result of the analytical solution is written into the vtu files. | ||
43 | * This problem uses the \ref OnePModel and \ref NIModel model. | ||
44 | */ | ||
45 | template <class TypeTag> | ||
46 | class OnePNIConvectionProblem : public PorousMediumFlowProblem<TypeTag> | ||
47 | { | ||
48 | using ParentType = PorousMediumFlowProblem<TypeTag>; | ||
49 | using GridView = typename GetPropType<TypeTag, Properties::GridGeometry>::GridView; | ||
50 | using Scalar = GetPropType<TypeTag, Properties::Scalar>; | ||
51 | using FVElementGeometry = typename GetPropType<TypeTag, Properties::GridGeometry>::LocalView; | ||
52 | using SubControlVolumeFace = typename FVElementGeometry::SubControlVolumeFace; | ||
53 | using PrimaryVariables = GetPropType<TypeTag, Properties::PrimaryVariables>; | ||
54 | using FluidSystem = GetPropType<TypeTag, Properties::FluidSystem>; | ||
55 | using BoundaryTypes = Dumux::BoundaryTypes<GetPropType<TypeTag, Properties::ModelTraits>::numEq()>; | ||
56 | |||
57 | using GridVariables = GetPropType<TypeTag, Properties::GridVariables>; | ||
58 | using ElementVolumeVariables = typename GridVariables::GridVolumeVariables::LocalView; | ||
59 | using ElementFluxVariablesCache = typename GridVariables::GridFluxVariablesCache::LocalView; | ||
60 | using VolumeVariables = typename GridVariables::GridVolumeVariables::VolumeVariables; | ||
61 | using SolutionVector = GetPropType<TypeTag, Properties::SolutionVector>; | ||
62 | using IapwsH2O = Components::H2O<Scalar>; | ||
63 | |||
64 | enum { dimWorld = GridView::dimensionworld }; | ||
65 | |||
66 | // copy some indices for convenience | ||
67 | using Indices = typename GetPropType<TypeTag, Properties::ModelTraits>::Indices; | ||
68 | enum { | ||
69 | // indices of the primary variables | ||
70 | pressureIdx = Indices::pressureIdx, | ||
71 | temperatureIdx = Indices::temperatureIdx | ||
72 | }; | ||
73 | enum { | ||
74 | // index of the transport equation | ||
75 | conti0EqIdx = Indices::conti0EqIdx, | ||
76 | energyEqIdx = Indices::energyEqIdx | ||
77 | }; | ||
78 | |||
79 | using NumEqVector = Dumux::NumEqVector<PrimaryVariables>; | ||
80 | using Element = typename GridView::template Codim<0>::Entity; | ||
81 | using GlobalPosition = typename Element::Geometry::GlobalCoordinate; | ||
82 | using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>; | ||
83 | |||
84 | public: | ||
85 | 2 | OnePNIConvectionProblem(std::shared_ptr<const GridGeometry> gridGeometry, const std::string& paramGroup) | |
86 |
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6 | : ParentType(gridGeometry, paramGroup) |
87 | { | ||
88 | //initialize fluid system | ||
89 | 2 | FluidSystem::init(); | |
90 | |||
91 |
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2 | name_ = getParam<std::string>("Problem.Name"); |
92 |
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2 | darcyVelocity_ = getParam<Scalar>("Problem.DarcyVelocity"); |
93 | |||
94 | 2 | temperatureHigh_ = 291.0; | |
95 | 2 | temperatureLow_ = 290.0; | |
96 | 2 | pressureHigh_ = 2e5; | |
97 | 2 | pressureLow_ = 1e5; | |
98 | |||
99 |
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5 | temperatureExact_.resize(this->gridGeometry().numDofs()); |
100 | 2 | } | |
101 | |||
102 | //! Get exact temperature vector for output | ||
103 | const std::vector<Scalar>& getExactTemperature() | ||
104 | { | ||
105 |
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2 | return temperatureExact_; |
106 | } | ||
107 | |||
108 | /*! | ||
109 | * \brief Update the analytical temperature | ||
110 | * The results are compared to an analytical solution where a retarded front velocity is calculated as follows: | ||
111 | \f[ | ||
112 | v_{Front}=\frac{q S_{water}}{\phi S_{total}} | ||
113 | \f] | ||
114 | */ | ||
115 | 88 | void updateExactTemperature(const SolutionVector& curSol, Scalar time) | |
116 | { | ||
117 | 264 | const auto someElement = *(elements(this->gridGeometry().gridView()).begin()); | |
118 | |||
119 | 176 | auto someElemSol = elementSolution(someElement, curSol, this->gridGeometry()); | |
120 | 88 | const auto someInitSol = initialAtPos(someElement.geometry().center()); | |
121 | |||
122 |
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352 | const auto someFvGeometry = localView(this->gridGeometry()).bindElement(someElement); |
123 |
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88 | const auto someScv = *(scvs(someFvGeometry).begin()); |
124 | |||
125 |
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88 | VolumeVariables volVars; |
126 |
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88 | volVars.update(someElemSol, *this, someElement, someScv); |
127 | |||
128 |
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176 | const auto porosity = this->spatialParams().porosity(someElement, someScv, someElemSol); |
129 |
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88 | const auto densityW = volVars.density(); |
130 |
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264 | const auto heatCapacityW = IapwsH2O::liquidHeatCapacity(someInitSol[temperatureIdx], someInitSol[pressureIdx]); |
131 | 88 | const auto storageW = densityW*heatCapacityW*porosity; | |
132 | 88 | const auto densityS = volVars.solidDensity(); | |
133 | 88 | const auto heatCapacityS = volVars.solidHeatCapacity(); | |
134 | 88 | const auto storageTotal = storageW + densityS*heatCapacityS*(1 - porosity); | |
135 |
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176 | std::cout << "storage: " << storageTotal << '\n'; |
136 | |||
137 | using std::max; | ||
138 |
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88 | time = max(time, 1e-10); |
139 | 88 | const Scalar retardedFrontVelocity = darcyVelocity_*storageW/storageTotal/porosity; | |
140 |
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176 | std::cout << "retarded velocity: " << retardedFrontVelocity << '\n'; |
141 |
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176 | auto fvGeometry = localView(this->gridGeometry()); |
142 |
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14432 | for (const auto& element : elements(this->gridGeometry().gridView())) |
143 | { | ||
144 |
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7040 | fvGeometry.bindElement(element); |
145 |
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28160 | for (auto&& scv : scvs(fvGeometry)) |
146 | { | ||
147 |
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10560 | auto dofIdxGlobal = scv.dofIndex(); |
148 | 10560 | auto dofPosition = scv.dofPosition(); | |
149 |
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10560 | temperatureExact_[dofIdxGlobal] = (dofPosition[0] < retardedFrontVelocity*time) ? temperatureHigh_ : temperatureLow_; |
150 | } | ||
151 | } | ||
152 | 88 | } | |
153 | |||
154 | /*! | ||
155 | * \name Problem parameters | ||
156 | */ | ||
157 | // \{ | ||
158 | |||
159 | /*! | ||
160 | * \brief The problem name. | ||
161 | * | ||
162 | * This is used as a prefix for files generated by the simulation. | ||
163 | */ | ||
164 | const std::string& name() const | ||
165 | { | ||
166 |
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2 | return name_; |
167 | } | ||
168 | |||
169 | // \} | ||
170 | |||
171 | /*! | ||
172 | * \name Boundary conditions | ||
173 | */ | ||
174 | // \{ | ||
175 | |||
176 | /*! | ||
177 | * \brief Specifies which kind of boundary condition should be | ||
178 | * used for which equation on a given boundary segment. | ||
179 | * | ||
180 | * \param globalPos The position for which the bc type should be evaluated | ||
181 | */ | ||
182 | 1346 | BoundaryTypes boundaryTypesAtPos(const GlobalPosition &globalPos) const | |
183 | { | ||
184 | 1346 | BoundaryTypes bcTypes; | |
185 | |||
186 |
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4038 | if(globalPos[0] > this->gridGeometry().bBoxMax()[0] - eps_) |
187 | bcTypes.setAllDirichlet(); | ||
188 | else | ||
189 | bcTypes.setAllNeumann(); | ||
190 | |||
191 | 1346 | return bcTypes; | |
192 | } | ||
193 | |||
194 | /*! | ||
195 | * \brief Evaluates the boundary conditions for a Dirichlet control volume. | ||
196 | * | ||
197 | * \param globalPos The center of the finite volume which ought to be set. | ||
198 | * | ||
199 | * For this method, the \a values parameter stores primary variables. | ||
200 | */ | ||
201 | ✗ | PrimaryVariables dirichletAtPos(const GlobalPosition &globalPos) const | |
202 | { | ||
203 | 538 | return initial_(globalPos); | |
204 | } | ||
205 | |||
206 | /*! | ||
207 | * \brief Evaluates the boundary conditions for a Neumann | ||
208 | * boundary segment in dependency on the current solution. | ||
209 | * | ||
210 | * \param element The finite element | ||
211 | * \param fvGeometry The finite volume geometry of the element | ||
212 | * \param elemVolVars All volume variables for the element | ||
213 | * \param elemFluxVarsCache Flux variables caches for all faces in stencil | ||
214 | * \param scvf The sub-control volume face | ||
215 | * | ||
216 | * This method is used for cases, when the Neumann condition depends on the | ||
217 | * solution and requires some quantities that are specific to the fully-implicit method. | ||
218 | * The \a values store the mass flux of each phase normal to the boundary. | ||
219 | * Negative values indicate an inflow. | ||
220 | */ | ||
221 | 1049 | NumEqVector neumann(const Element& element, | |
222 | const FVElementGeometry& fvGeometry, | ||
223 | const ElementVolumeVariables& elemVolVars, | ||
224 | const ElementFluxVariablesCache& elemFluxVarsCache, | ||
225 | const SubControlVolumeFace& scvf) const | ||
226 | { | ||
227 | 1049 | NumEqVector values(0.0); | |
228 | 1049 | const auto globalPos = scvf.ipGlobal(); | |
229 |
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2098 | const auto& volVars = elemVolVars[scvf.insideScvIdx()]; |
230 | |||
231 |
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1049 | if(globalPos[0] < eps_) |
232 | { | ||
233 | 2098 | values[conti0EqIdx] = -darcyVelocity_*volVars.density(); | |
234 | 3147 | values[energyEqIdx] = values[conti0EqIdx]*IapwsH2O::liquidEnthalpy(temperatureHigh_, volVars.pressure()); | |
235 | } | ||
236 | 1049 | return values; | |
237 | } | ||
238 | |||
239 | // \} | ||
240 | |||
241 | /*! | ||
242 | * \name Volume terms | ||
243 | */ | ||
244 | // \{ | ||
245 | |||
246 | /*! | ||
247 | * \brief Evaluates the initial value for a control volume. | ||
248 | * | ||
249 | * \param globalPos The position for which the initial condition should be evaluated | ||
250 | * | ||
251 | * For this method, the \a values parameter stores primary | ||
252 | * variables. | ||
253 | */ | ||
254 | ✗ | PrimaryVariables initialAtPos(const GlobalPosition &globalPos) const | |
255 | { | ||
256 | 498 | return initial_(globalPos); | |
257 | } | ||
258 | |||
259 | // \} | ||
260 | |||
261 | private: | ||
262 | // the internal method for the initial condition | ||
263 | ✗ | PrimaryVariables initial_(const GlobalPosition &globalPos) const | |
264 | { | ||
265 | 518 | PrimaryVariables priVars(0.0); | |
266 |
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518 | priVars[pressureIdx] = pressureLow_; // initial condition for the pressure |
267 |
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1036 | priVars[temperatureIdx] = temperatureLow_; |
268 | ✗ | return priVars; | |
269 | } | ||
270 | |||
271 | Scalar temperatureHigh_; | ||
272 | Scalar temperatureLow_; | ||
273 | Scalar pressureHigh_; | ||
274 | Scalar pressureLow_; | ||
275 | Scalar darcyVelocity_; | ||
276 | static constexpr Scalar eps_ = 1e-6; | ||
277 | std::string name_; | ||
278 | std::vector<Scalar> temperatureExact_; | ||
279 | }; | ||
280 | |||
281 | } // end namespace Dumux | ||
282 | |||
283 | #endif | ||
284 |