Computational Methods for Fluid Flow

  • Roger Peyret
  • Thomas D. Taylor

Part of the Springer Series in Computational Physics book series (SCIENTCOMP)

Table of contents

  1. Front Matter
    Pages i-x
  2. Numerical Approaches

    1. Front Matter
      Pages 1-1
    2. Roger Peyret, Thomas D. Taylor
      Pages 3-17
    3. Roger Peyret, Thomas D. Taylor
      Pages 18-78
    4. Roger Peyret, Thomas D. Taylor
      Pages 79-119
    5. Roger Peyret, Thomas D. Taylor
      Pages 120-124
    6. Roger Peyret, Thomas D. Taylor
      Pages 125-139
  3. Incompressible Flows

    1. Front Matter
      Pages 141-142
    2. Roger Peyret, Thomas D. Taylor
      Pages 143-215
    3. Roger Peyret, Thomas D. Taylor
      Pages 216-227
    4. Roger Peyret, Thomas D. Taylor
      Pages 228-247
    5. Roger Peyret, Thomas D. Taylor
      Pages 248-261
  4. Compressible Flows

    1. Front Matter
      Pages 263-266
    2. Roger Peyret, Thomas D. Taylor
      Pages 267-309
    3. Roger Peyret, Thomas D. Taylor
      Pages 310-340
  5. Concluding Remarks

    1. Roger Peyret, Thomas D. Taylor
      Pages 341-341
  6. Back Matter
    Pages 343-358

About this book

Introduction

In developing this book, we decided to emphasize applications and to provide methods for solving problems. As a result, we limited the mathematical devel­ opments and we tried as far as possible to get insight into the behavior of numerical methods by considering simple mathematical models. The text contains three sections. The first is intended to give the fundamen­ tals of most types of numerical approaches employed to solve fluid-mechanics problems. The topics of finite differences, finite elements, and spectral meth­ ods are included, as well as a number of special techniques. The second section is devoted to the solution of incompressible flows by the various numerical approaches. We have included solutions of laminar and turbulent-flow prob­ lems using finite difference, finite element, and spectral methods. The third section of the book is concerned with compressible flows. We divided this last section into inviscid and viscous flows and attempted to outline the methods for each area and give examples.

Keywords

Green’s functions Large Eddy Simulation Navier-Stokes equation Navier-Stokes equations Poisson equation Potential behavior curvilinear coordinates differential equation diffusion mechanics numerical method ordinary differential equation solution turbulence

Authors and affiliations

  • Roger Peyret
    • 1
  • Thomas D. Taylor
    • 2
  1. 1.CNRS, Département de MathématiquesUniversité de NiceNiceFrance
  2. 2.Applied Physics LaboratoryJohns Hopkins UniversityLaurelUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-85952-6
  • Copyright Information Springer-Verlag Berlin Heidelberg 1983
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-13851-8
  • Online ISBN 978-3-642-85952-6
  • Series Print ISSN 1434-8322
  • About this book