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Numerical Methods for Two-phase Incompressible Flows

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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.

Author(s): Sven Gross, Arnold Reusken (auth.)
Series: Springer Series in Computational Mathematics 40
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2011

Language: English
Pages: 482
Tags: Computational Mathematics and Numerical Analysis; Appl.Mathematics/Computational Methods of Engineering; Engineering Fluid Dynamics; Mechanical Engineering

Front Matter....Pages i-xvii
Introduction....Pages 1-30
Front Matter....Pages 31-31
Mathematical models....Pages 33-50
Finite element discretization....Pages 51-81
Time integration....Pages 83-98
Iterative solvers....Pages 99-158
Front Matter....Pages 159-159
Mathematical model....Pages 161-195
Finite element discretization of two-phase flow model....Pages 197-281
Time integration....Pages 283-295
Iterative solvers....Pages 297-323
Front Matter....Pages 325-325
Mathematical model....Pages 327-344
Finite element discretization....Pages 345-381
Front Matter....Pages 383-383
Mathematical model....Pages 385-390
Finite element methods for surfactant transport equations....Pages 391-430
Front Matter....Pages 431-431
Appendix A: Results from differential geometry....Pages 433-438
Appendix B: Variational formulations in Hilbert spaces....Pages 439-458
Back Matter....Pages 459-480