PT - JOURNAL ARTICLE
AU -
TI - Stability and convergence in fluid flow problems
DP - 1971 Jun 08
TA - Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
PG - 237--253
VI - 323
IP - 1553
4099 - http://rspa.royalsocietypublishing.org/content/323/1553/237.short
4100 - http://rspa.royalsocietypublishing.org/content/323/1553/237.full
SO - Proc R Soc Lond A Math Phys Sci1971 Jun 08; 323
AB - The general convergence and stability theory for finite-difference approximations to fluid flow problems is described. The methods of analysis are outlined and applied to a typical problem. Simple models are then used to consider the behaviour of common difference schemes under practical conditions of finite mesh intervals. Practical stability limits, mode propagation and conservation properties, and nonlinear instabilities are particular characteristics considered. The leapfrog method when used with appropriate safeguards emerges as the most generally suitable basic method.