Numerical methods for two-phase incompressible flows
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 pursu...
| Main Author: | Gross, Sven. |
|---|---|
| Other Authors: | Reusken, Arnold., SpringerLink (Online service) |
| Format: | eBook |
| Language: | English |
| Published: |
Berlin ; Heidelberg ; New York :
Springer,
©2011.
Berlin ; Heidelberg ; New York : [2011] |
| Physical Description: |
1 online resource (xvii, 480 pages). |
| Series: |
Springer series in computational mathematics ;
40. |
| Subjects: |
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| 100 | 1 | |a Gross, Sven. | |
| 245 | 1 | 0 | |a Numerical methods for two-phase incompressible flows / |c Sven Gross, Arnold Reusken. |
| 260 | |a Berlin ; |a Heidelberg ; |a New York : |b Springer, |c ©2011. | ||
| 264 | 1 | |a Berlin ; |a Heidelberg ; |a New York : |b Springer, |c [2011] | |
| 264 | 4 | |c ©2011. | |
| 300 | |a 1 online resource (xvii, 480 pages). | ||
| 336 | |a text |b txt |2 rdacontent. | ||
| 337 | |a computer |b c |2 rdamedia. | ||
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| 347 | |a text file. | ||
| 490 | 1 | |a Springer series in computational mathematics ; |v 40. | |
| 504 | |a Includes bibliographical references (pages 459-472) and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |6 880-01 |a Introduction -- Part I One-phase incompressible flows -- Mathematical models -- Finite element discretization -- Time integration.- | |
| 520 | |a 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. | ||
| 546 | |a English. | ||
| 600 | 1 | 7 | |a Zweiphasenströmung. |2 swd. |
| 600 | 1 | 7 | |a Inkompressible Strömung. |2 swd. |
| 600 | 1 | 7 | |a Numerische Strömungssimulation. |2 swd. |
| 650 | 0 | |a Navier-Stokes equations |x Numerical solutions. | |
| 650 | 0 | |a Fluid dynamics |x Mathematics. | |
| 650 | 2 | 4 | |a Computational Mathematics and Numerical Analysis. |
| 650 | 2 | 4 | |a Appl. Mathematics/Computational Methods of Engineering. |
| 650 | 2 | 4 | |a Engineering Fluid Dynamics. |
| 650 | 2 | 0 | |a Mechanical engineering. |
| 650 | 6 | |a Équations de Navier-Stokes |x Solutions numériques. | |
| 650 | 6 | |a Dynamique des fluides |x Mathématiques. | |
| 650 | 7 | |a MATHEMATICS |x Differential Equations |x Partial. |2 bisacsh. | |
| 650 | 7 | |a Dinámica de fluidos |x Matemáticas. |2 embne. | |
| 650 | 7 | |a Fluid dynamics |x Mathematics. |2 fast. | |
| 650 | 7 | |a Navier-Stokes equations |x Numerical solutions. |2 fast. | |
| 700 | 1 | |a Reusken, Arnold. | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 776 | 0 | 8 | |i Printed edition: |z 9783642196850. |
| 830 | 0 | |a Springer series in computational mathematics ; |v 40. | |
| 880 | 0 | |6 505-01/(S |a 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 k-scheme for the Navier-Stokes problem -- 4.3. Fractional-step k-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. | |
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