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Finite-Difference Techniques for Vectorized Fluid Dynamics Calculations

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 Lab...

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Bibliographic Details
Other Authors: Book, D. L. (Editor)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1981, 1981
Edition:1st ed. 1981
Series:Scientific Computation
Subjects:
Continuum Mechanics
Mathematical Physics
Theoretical, Mathematical And Computational Physics
Mathematical Methods In Physics
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
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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