Scientific Computation

Finite-Difference Techniques for Vectorized Fluid Dynamics Calculations

Editors: Book, D. L. (Ed.)

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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 emĀ­ 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.

Table of contents (8 chapters)

  • Introduction

    Book, D. L.

    Pages 1-4

  • Computational Techniques for Solution of Convective Equations

    Book, D. L. (et al.)

    Pages 5-28

  • Flux-Corrected Transport

    Book, D. L. (et al.)

    Pages 29-55

  • Efficient Time Integration Schemes for Atmosphere and Ocean Models

    Madala, R. V.

    Pages 56-74

  • A One-Dimensional Lagrangian Code for Nearly Incompressible Flow

    Boris, J. P.

    Pages 75-97

Buy this book

eBook $89.00
price for USA (gross)
  • ISBN 978-3-642-86715-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $119.00
price for USA
  • ISBN 978-3-642-86717-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Finite-Difference Techniques for Vectorized Fluid Dynamics Calculations
Editors
  • D. L. Book
Series Title
Scientific Computation
Copyright
1981
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag New York Inc.
eBook ISBN
978-3-642-86715-6
DOI
10.1007/978-3-642-86715-6
Softcover ISBN
978-3-642-86717-0
Series ISSN
1434-8322
Edition Number
1
Number of Pages
VIII, 228
Topics