Title

An Efficient Parallel Algorithm with Application to Computational Fluid Dynamics

Document Type

Article

Publication Date

1-2003

Publication Title

Computers & Mathematics with Applications

Abstract

When solving time-dependent partial differential equations on parallel computers using the nonoverlapping domain decomposition method, one often needs numerical boundary conditions on the boundaries between subdomains. These numerical boundary conditions can significantly affect the stability and accuracy of the final algorithm.

In this paper, a stability and accuracy analysis of the existing methods for generating numerical boundary conditions will be presented, and a new approach based on explicit predictors and implicit correctors will be used to solve convection-diffusion equations on parallel computers, with application to aerospace engineering for the solution of Euler equations in computational fluid dynamics simulations. Both theoretical analyses and numerical results demonstrate significant improvement in stability and accuracy by using the new approach.

Original Citation

Rivera, W., Zhu, J., and Huddleston, D. (2003). An Efficient parallel algorithm with application to computational fluid dynamics. Computers and Mathematics with Applications, 45(1-3), 165 - 188, doi: 10.1016/S0898-1221(03)80013-5.

DOI

10.1016/S0898-1221(03)80013-5

Volume

45

Issue

1-3