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Numerical Methods for Two-phase Incompressible Flows

  • Sven Gross
  • Arnold Reusken

Part of the Springer Series in Computational Mathematics book series (SSCM, volume 40)

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Sven Gross, Arnold Reusken
    Pages 1-30
  3. One-phase incompressible flows

    1. Front Matter
      Pages 31-31
    2. Sven Gross, Arnold Reusken
      Pages 33-50
    3. Sven Gross, Arnold Reusken
      Pages 51-81
    4. Sven Gross, Arnold Reusken
      Pages 83-98
    5. Sven Gross, Arnold Reusken
      Pages 99-158
  4. Two-phase incompressible flows

    1. Front Matter
      Pages 159-159
    2. Sven Gross, Arnold Reusken
      Pages 161-195
    3. Sven Gross, Arnold Reusken
      Pages 197-281
    4. Sven Gross, Arnold Reusken
      Pages 283-295
    5. Sven Gross, Arnold Reusken
      Pages 297-323
  5. Mass transport

    1. Front Matter
      Pages 325-325
    2. Sven Gross, Arnold Reusken
      Pages 327-344
    3. Sven Gross, Arnold Reusken
      Pages 345-381
  6. Surfactant transport

    1. Front Matter
      Pages 383-383
    2. Sven Gross, Arnold Reusken
      Pages 385-390
    3. Sven Gross, Arnold Reusken
      Pages 391-430
  7. Appendix

    1. Front Matter
      Pages 431-431
    2. Sven Gross, Arnold Reusken
      Pages 433-438
    3. Sven Gross, Arnold Reusken
      Pages 439-458
  8. Back Matter
    Pages 459-480

About this book

Introduction

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.

Keywords

Navier-Stokes equations computational fluid dynamics finite element methods level set methods two-phase flows

Authors and affiliations

  • Sven Gross
    • 1
  • Arnold Reusken
    • 2
  1. 1., Institut für Numerische SimulationUniversität BonnBonnGermany
  2. 2.LS Numerische MathematikRWTH AachenAachenGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-19686-7
  • Copyright Information Springer-Verlag Berlin Heidelberg 2011
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-642-19685-0
  • Online ISBN 978-3-642-19686-7
  • Series Print ISSN 0179-3632
  • Buy this book on publisher's site