Finite-Difference Techniques for Vectorized Fluid Dynamics Calculations

  • David L. Book

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

Table of contents

  1. Front Matter
    Pages i-viii
  2. D. L. Book
    Pages 1-4
  3. D. L. Book, J. P. Boris, S. T. Zalesak
    Pages 29-55
  4. R. V. Madala, B. E. McDonald
    Pages 117-151
  5. N. K. Winsor
    Pages 152-163
  6. Back Matter
    Pages 164-227

About this book


This book describes several finite-difference techniques developed recently for the numerical solution of fluid equations. Both convective (hyperbolic) equations and elliptic equations (of Poisson's type) are discussed. The em­ phasis is on methods developed and in use at the Naval Research Laboratory, although brief descriptions of competitive and kindred techniques are included as background material. This book is intended for specialists in computational fluid dynamics and related subjects. It includes examples, applications and source listings of program modules in Fortran embodying the methods. Contents Introduction 1 (D. L. Book) 2 Computational Techniques for Solution of Convective Equations 5 (D. L. Book and J. P. Boris) 2. 1 Importance of Convective Equations 5 2. 2 Requirements for Convective Equation Algorithms 7 2. 3 Quasiparticle Methods 10 2. 4 Characteristic Methods 13 2. 5 Finite-Difference Methods 15 2. 6 Finite-Element Methods 20 2. 7 Spectral Methods 23 3 Flux-Corrected Transport 29 (D. L. Book, J. P. Boris, and S. T. Zalesak) 3. 1 Improvements in Eulerian Finite-Difference Algorithms 29 3. 2 ETBFCT: A Fully Vectorized FCT Module 33 3. 3 Multidimensional FCT 41 4 Efficient Time Integration Schemes for Atmosphere and Ocean Models 56 (R. V. Madala) 4. 1 Introduction 56 4. 2 Time Integration Schemes for Barotropic Models 58 4. 3 Time Integration Schemes for Baroclinic Models 63 4. 4 Extension to Ocean Models 70 David L. Book, Jay P. Boris, and Martin J. Fritts are from the Laboratory for Computational Physics, Naval Research Laboratory, Washington, D. C.


Differenzenrechnung Hydrodynamik computational fluid dynamics computational physics fluid dynamics

Editors and affiliations

  • David L. Book
    • 1
  1. 1.Naval Research LaboratoryUSA

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 1981
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-86717-0
  • Online ISBN 978-3-642-86715-6
  • Series Print ISSN 1434-8322
  • Buy this book on publisher's site