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Simulation of Flow in Porous Media : Applications in Energy and Environment.
Thisbook is the firstvolume of three volume series recording the""Radon Special Semester 2011 on Multiscale Simulation & Analysis in Energy and the Environment"" taking placein Linz, Austria, October 3-7, 2011. Thevolume discusses new developments in computational methods for...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin :
De Gruyter,
2013.
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| Colección: | Radon series on computational and applied mathematics.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Preface; Upscaled models for CO2 injection and migration in geological systems; 1 Introduction; 2 Background; 3 Model description; 3.1 Key assumptions and dimensionless groupings; 3.2 Vertical fluid and pressure distribution; 3.3 Model derivation; 3.4 Upscaling and subscale processes; 4 Model application; 5 Summary; Multipoint flux approximation L-method in 3D: numerical convergence and application to two-phase flow through porous media; 1 Introduction; 2 The MPFA L-method in 3D; 2.1 Details of the scheme; 2.2 Criterion for choosing the proper L-stencil; 2.3 Boundary handling.
- 3 Numerical convergence3.1 Benchmark test 1; 3.2 Benchmark test 3; 4 Grid adaptivity; 4.1 Boundary handling; 5 Two-phase flow applications; 5.1 Two-phase model description; 5.2 Buckley-Leverett-type problem; 5.3 McWhorter-type problem; 5.4 DNAPL infiltration problem; 5.5 Refinement and coarsening indicator; 6 Summary and conclusions; Compositional two-phase flow in saturated-unsaturated porous media: benchmarks for phase appearance/disappearance; 1 Introduction; 2 Definition and basic assumptions; 3 Equations; 3.1 Mass conservation of each component; 4 Choice of the primary variables.
- 5 Presentation of the two test cases5.1 First test case: gas phase appearing/disappearing by gas injection in a water-saturated rock core sample; 5.2 Second test case: evolution from an initial out of equilibriumstate to a stabilized stationary one, in a sealed porous core sample; 6 Conclusions and perspectives; Coupling free and porous-media flows: models and numerical approximation; 1 Introduction; 2 Setting of the problem; 2.1 The surface-groundwater flow problem; 2.2 Interface conditions to couple surface and groundwater flows; 3 Weak formulation and analysis.
- 3.1 Mixed formulation of Darcy's equation3.2 Time-dependent Stokes/Darcy model; 4 Multidomain formulation of the coupled problem; 4.1 The Stokes/Darcy problem; 4.2 The Navier-Stokes/Darcy problem; 4.3 Well-posedness of the interface problems; 5 Finite element approximation of free and porous-media flows; 5.1 Galerkin finite-element approximation of the Stokes/Darcy problem; 6 Algebraic formulation of the linear interface problem and solution techniques; 6.1 Numerical results; 6.2 Other preconditioning methods; 7 Iterative methods for the Navier-Stokes/Darcy problem.
- 8 Subdomain iterative methods for the time-dependent (Navier- )Stokes/Darcy problemMathematical and numerical modeling of flow, transport, and reactions in porous structures of electrochemical devices; 1 Introduction; 1.1 Model scales; 1.2 The direct methanol fuel cell
- an example of an electrochemical device with a porous electrode; 2 Electrolytes and interfaces; 2.1 Dilute electrolytes; 2.2 Bulk electroneutrality; 2.3 Double layer; 2.4 Interface between electrode and electrolyte; 2.5 Faradaic reactions; 3 Porous electrodes; 3.1 Ideally polarizable porous matrix; 3.2 Species transport.