On Spurious Behavior of Super-Stable Implicit Methods

Authors

Helen C. Yee, NASA Ames Research CellterFollow
P. K. Sweby, University of Reading

Date of this Version

1997

Citation

International Journal of Computational Fluid Dynamics Volume 8, 1997 - Issue 4.

Comments

U.S. government work.

Abstract

Th e objective of this paper is to gain a better understanding of the asymptotic nonlinear behavior of super-stable implicit linear multistep methods for constant time steps. Examples of the nonlinear effect caused by grid adaptation and super-stable implicit total variation diminishing (TVD) schemes on the overall performance of the numerical procedure are given. A method to minimize spurious steady-state numerical solutions is discussed.