Efficient Solvers for Incompressible Flow Problems

An Algorithmic and Computational Approach

  • Stefan Turek

Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 6)

Table of contents

  1. Front Matter
    Pages I-XV
  2. Stefan Turek
    Pages 1-26
  3. Stefan Turek
    Pages 27-96
  4. Stefan Turek
    Pages 97-280
  5. Stefan Turek
    Pages 335-339
  6. Stefan Turek
    Pages 341-342
  7. Back Matter
    Pages 343-358

About this book

Introduction

The scope ofthis book is to discuss recent numerical and algorithmic tools for the solution of certain flow problems arising in Computational Fluid Dynam­ ics (CFD). Here, we mainly restrict ourselves to the case ofthe incompressible Navier-Stokes equations, Ut - v~u + U . V'u+ V'p = f , V'·u = o. (1) These basic equations already play an important role in CFD, both for math­ ematicians as well as for more practical scientists: Physically important facts with "real life" character can be described by them, including also economical aspects in industrial applications. On the other hand, the equations in (1) provide the complete spectrum of numerical problems nowadays concerning the mathematical treatment of partial differential equations. Although this field of research may appear to be a small part only inside of CFD, it was and still is of great interest for mathematicians as well as engineers, physicists, computer scientists and many more: a fact which can be easily checked by counting the numerous publications. Nevertheless, our contribution has some unique characteristics since it contains a few ofthe lat­ est results for the numerical solution of (complex) flow problems on modern computer platforms. In this book, our particular emphasis lies on the solu­ tion process ofthe resulting high dimensional discrete systems ofequations which is often neglected in other works. Together with the included CDROM, which contains the 'FEATFLOW 1.

Keywords

Navier-Stokes equation computational fluid dynamics fluid dynamics proving simulation

Authors and affiliations

  • Stefan Turek
    • 1
  1. 1.Institut für Angewandte MathematikUniversität HeidelbergHeidelbergGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-58393-3
  • Copyright Information Springer-Verlag Berlin Heidelberg 1999
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-63573-1
  • Online ISBN 978-3-642-58393-3
  • Series Print ISSN 1439-7358
  • About this book
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