FiniteDifference Techniques for Vectorized Fluid Dynamics Calculations [EBook] / edited by David L. Book.
FiniteDifference Techniques for Vectorized Fluid Dynamics Calculations [EBook] / edited by David L. Book.
This book describes several finitedifference 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...
Personal Name(s):  Book, David L., (editor) 

Imprint: 
Berlin, Heidelberg :
Springer,
1981

Physical Description: 
VIII, 228 p. online resource. 
Note: 
englisch 
ISBN: 
9783642867156 
DOI: 
10.1007/9783642867156 
Series Title: 
Springer Series in Computational Physics

Subject (LOC):  
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 FiniteDifference Methods
 2.6 FiniteElement Methods
 2.7 Spectral Methods
 3 FluxCorrected Transport
 3.1 Improvements in Eulerian FiniteDifference 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 OneDimensional 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 TwoDimensional 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 NonSelfAdjoint 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.