| Description |
1 online resource (224 pages) |
| Series |
Radon Series on Computational and Applied Mathematics |
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Radon series on computational and applied mathematics.
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| Contents |
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 |
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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 |
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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 |
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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 |
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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 |
| Summary |
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 the simulation of flows in porous media with applications in waste storage, CO2 sequestration and fuel cells. It records the achievements of Workshop 1 ""Simulation of Flow in Porous Media and Applications in Waste Management and CO2 Sequestration"". Itbrings together key numerical mathematiciansfrom the fields ofanalysis a |
| Analysis |
Finite Element Method |
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Mortar Method |
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Multiscale Techniques |
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Partial Differential Equations |
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Phase Appearance/Disappearance |
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Porous Media |
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Stokes-Darcy Coupling |
| Notes |
3.3 Darcy flow |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Print version record |
| Subject |
Porous materials -- Permeability -- Mathematical models
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Transport theory -- Mathematical models
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Fluid dynamics.
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TECHNOLOGY & ENGINEERING -- Engineering (General)
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TECHNOLOGY & ENGINEERING -- Reference.
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Fluid dynamics
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Porous materials -- Permeability -- Mathematical models
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Transport theory -- Mathematical models
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| Form |
Electronic book
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| Author |
Bastian, Peter (Mathematician)
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Scheichl, Robert, 1972-
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Wheeler, Mary F. (Mary Fanett)
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| ISBN |
9783110282245 |
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3110282240 |
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9781523100484 |
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1523100486 |
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