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Spectral Methods for Incompressible Viscous Flow

  • Roger Peyret

Part of the Applied Mathematical Sciences book series (AMS, volume 148)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Introduction

    1. Roger Peyret
      Pages 1-6
  3. Basic spectral methods

    1. Front Matter
      Pages 7-7
    2. Roger Peyret
      Pages 9-15
    3. Roger Peyret
      Pages 17-37
    4. Roger Peyret
      Pages 39-100
    5. Roger Peyret
      Pages 101-154
  4. Navier-Stokes equations

    1. Front Matter
      Pages 155-155
    2. Roger Peyret
      Pages 167-206
    3. Roger Peyret
      Pages 207-293
  5. Special topics

    1. Front Matter
      Pages 295-295
    2. Roger Peyret
      Pages 297-338
    3. Roger Peyret
      Pages 339-388
  6. Back Matter
    Pages 389-434

About this book

Introduction

This book provides a comprehensive discussion of Fourier and Chebyshev spectral methods for the computation of incompressible viscous flows, based on the Navier-Stokes equations. The book is in three parts. The first part presents the fundamentals of the Fourier and Chebyshev methods for the solution of the Navier-Stokes equations considered in vorticity-streamfunction and velocity-pressure formulations. The third part of the book is concerned with the solution of stiff and singular problems, and with the domain decomposition method.
Every topic is accompanied by numerical examples, which further illustrate and assess the methods. Graduate students and researchers in applied mathematics and engineering working in fluid dxnamics, scientific computing, and numerical analysis will find this book of interest.

Keywords

Navier-Stokes equation Numerical integration Spectral methods computational fluid dynamics fluid dynamics incompressible viscous flow numerical analysis scientific computing

Authors and affiliations

  • Roger Peyret
    • 1
  1. 1.Laboratoire J.A. DieudonnéUniversité de Nice-Sophia AntipolisNiceFrance

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4757-6557-1
  • Copyright Information Springer-Verlag New York 2002
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4419-2913-6
  • Online ISBN 978-1-4757-6557-1
  • Series Print ISSN 0066-5452
  • Buy this book on publisher's site