| Description |
1 online resource (xvii, 480 pages) |
| Series |
Springer series in computational mathematics ; 40 |
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Springer series in computational mathematics ; 40.
|
| Contents |
880-01 Introduction -- Part I One-phase incompressible flows -- Mathematical models -- Finite element discretization -- Time integration.- |
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880-01/(S Contents note continued: 3.2. Hood-Taylor finite element spaces -- 3.2.1. Simplicial finite element spaces -- 3.2.2. Hood-Taylor finite element discretization of the Oseen problem -- 3.2.3. Matrix-vector representation of the discrete problem -- 3.2.4. Hood-Taylor semi-discretization of the non-stationary (Navier- )Stokes problem -- 3.3. Numerical experiments -- 3.3.1. Flow in a rectangular tube -- 3.3.2. Flow in a curved channel -- 3.4. Discussion and additional references -- 4. Time integration -- 4.1. Introduction -- 4.2. The θ-scheme for the Navier-Stokes problem -- 4.3. Fractional-step θ-scheme for the Navier-Stokes problem -- 4.4. Numerical experiments -- 4.5. Discussion and additional references -- 5. Iterative solvers -- 5.1. Linearization method -- 5.2. Iterative solvers for symmetric saddle point problems -- 5.2.1. Preconditioned MINRES -- 5.2.2. Inexact Uzawa method -- 5.3. Iterative Solvers for Oseen problems -- 5.4. Preconditioners -- 5.4.1. Introduction |
| Summary |
This book is the first monograph providing an introduction to and an overview of numerical methods for the simulation of two-phase incompressible flows. The Navier-Stokes equations describing the fluid dynamics are examined in combination with models for mass and surfactant transport. The book pursues a comprehensive approach: important modeling issues are treated, appropriate weak formulations are derived, level set and finite element discretization techniques are analyzed, efficient iterative solvers are investigated, implementational aspects are considered and the results of numerical experiments are presented. The book is aimed at M Sc and PhD students and other researchers in the fields of Numerical Analysis and Computational Engineering Science interested in the numerical treatment of two-phase incompressible flows |
| Bibliography |
Includes bibliographical references (pages 459-472) and index |
| Notes |
English |
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Print version record |
| SUBJECT |
Zweiphasenströmung. swd |
|
Inkompressible Strömung. swd |
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Numerische Strömungssimulation. swd |
| Subject |
Navier-Stokes equations -- Numerical solutions.
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Fluid dynamics -- Mathematics
|
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MATHEMATICS -- Differential Equations -- Partial.
|
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Dinámica de fluidos -- Matemáticas
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Fluid dynamics -- Mathematics
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Navier-Stokes equations -- Numerical solutions
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| Form |
Electronic book
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| Author |
Reusken, Arnold.
|
| ISBN |
9783642196867 |
|
3642196861 |
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3642196853 |
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9783642196850 |
|
