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Finite-Difference Techniques for Vectorized Fluid Dynamics Calculations / edited by David L. 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 Labo...

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Bibliographic Details
Online Access: Full Text (via Springer)
Main Author: Book, David L.
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 1981.
Series:Springer series in computational physics.
Subjects:
Physics.
Mathematical physics.
Table of Contents:
  • 1 Introduction
  • 2 Computational Techniques for Solution of Convective Equations
  • 2.1 Importance of Convective Equations
  • 2.2 Requirements for Convective Equation Algorithms
  • 2.3 Quasiparticle Methods
  • 2.4 Characteristic Methods
  • 2.5 Finite-Difference Methods
  • 2.6 Finite-Element Methods
  • 2.7 Spectral Methods
  • 3 Flux-Corrected Transport
  • 3.1 Improvements in Eulerian Finite-Difference Algorithms
  • 3.2 ETBFCT: A Fully Vectorized FCT Module
  • 3.3 Multidimensional FCT
  • 4 Efficient Time Integration Schemes for Atmosphere and Ocean Models
  • 4.1 Introduction
  • 4.2 Time Integration Schemes for Barotropic Models
  • 4.3 Time Integration Schemes for Baroclinic Models
  • 4.4 Extension to Ocean Models
  • 5 A One-Dimensional Lagrangian Code for Nearly Incompressible Flow
  • 5.1 Difficulties Encountered in Lagrangian Methods
  • 5.2 Adaptive Gridding in a Lagrangian Calculation
  • 5.3 The Algorithm and Structure of ADINC
  • 5.4 Examples
  • 6 Two-Dimensional Lagrangian Fluid Dynamics Using Triangular Grids
  • 6.1 Grid Distortion in Two Dimensions
  • 6.2 Use of Reconnection to Eliminate Grid Distortion
  • 6.3 Numerical Algorithms
  • 6.4 Examples
  • 7 Solution of Elliptic Equations
  • 7.1 Survey of Standard Techniques
  • 7.2 A New Direct Solver: The Stabilized Error Vector Propagation Technique (SEVP)
  • 7.3 Application of Chebychev Iteration to Non-Self-Adjoint Equations
  • 8 Vectorization of Fluid Codes
  • 8.1 Speed in Hardware
  • 8.2 Speed in Fortran
  • 8.3 Problems with Causality
  • 8.4 Examples
  • 8.5 Summary of Parallelism Principles
  • Appendix A
  • Appendix B
  • Appendix C
  • Appendix D
  • Appendix E
  • References.

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