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Computational Methods for Fluid Flow

  • Book
  • © 1983

Overview

Authors:
  1. Roger Peyret

    1. CNRS, Département de Mathématiques, Université de Nice, Nice, France

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  2. Thomas D. Taylor

    1. Applied Physics Laboratory, Johns Hopkins University, Laurel, USA

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    You can also search for this author in PubMed   Google Scholar

Part of the book series: Scientific Computation (SCIENTCOMP)

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-x
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  2. Numerical Approaches

    1. Front Matter

      Pages 1-1
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    2. Introduction and General Equations

      • Roger Peyret, Thomas D. Taylor
      Pages 3-17

    3. Finite-Difference Methods

      • Roger Peyret, Thomas D. Taylor
      Pages 18-78

    4. Integral and Spectral Methods

      • Roger Peyret, Thomas D. Taylor
      Pages 79-119

    5. Relationship Between Numerical Approaches

      • Roger Peyret, Thomas D. Taylor
      Pages 120-124

    6. Specialized Methods

      • Roger Peyret, Thomas D. Taylor
      Pages 125-139

  3. Incompressible Flows

    1. Front Matter

      Pages 141-142
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    2. Finite-Difference Solution of the Navier-Stokes Equations

      • Roger Peyret, Thomas D. Taylor
      Pages 143-215

    3. Finite-Element Methods Applied to Incompressible Flows

      • Roger Peyret, Thomas D. Taylor
      Pages 216-227

    4. Spectral-Method Solutions for Incompressible Flows

      • Roger Peyret, Thomas D. Taylor
      Pages 228-247

    5. Turbulent-Flow Models and Calculations

      • Roger Peyret, Thomas D. Taylor
      Pages 248-261

  4. Compressible Flows

    1. Front Matter

      Pages 263-266
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    2. Inviscid Compressible Flows

      • Roger Peyret, Thomas D. Taylor
      Pages 267-309

    3. Viscous Compressible Flows

      • Roger Peyret, Thomas D. Taylor
      Pages 310-340

  5. Concluding Remarks

    1. Concluding Remarks

      • Roger Peyret, Thomas D. Taylor
      Pages 341-341

  6. Back Matter

    Pages 343-358
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Keywords

About this book

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.

Authors and Affiliations

  • CNRS, Département de Mathématiques, Université de Nice, Nice, France

    Roger Peyret

  • Applied Physics Laboratory, Johns Hopkins University, Laurel, USA

    Thomas D. Taylor

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