Finite-Difference Techniques for Vectorized Fluid Dynamics Calculations [E-Book] / edited by David L. Book.
Book, David L., (editor)
Berlin, Heidelberg : Springer, 1981
VIII, 228 p. online resource.
englisch
9783642867156
10.1007/978-3-642-86715-6
Springer Series in Computational Physics
Full Text
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.