Computational and Applied Math Proseminar

Department of Mathematics, Arizona State University

Thursday, February 17, 2000, 12:30 p.m. in GWC Room 604

Frank Tse

Department of Mathematics

A practical method to reduce numerical disturbance arising from spectral domain decomposition

Abstract Spectral domain decomposition method is designed for problems with complex geometry. However, the subdomain interfaces can cause much numerical disturbance, for example, when calculating fluid flow with high Reynolds number. This is easily overcome by creating an auxillary set of subdomains in addition to the original set of subdomains. The derivatives are carried out through a combination of the two sets of subdomains. The resulting algorithm can maintain spectral accuracy for simple problem and converge for high Reynolds number flow. Some simulation results by using the method will also be shown.

For further information please contact: mittelmann@asu.edu