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.
Repository 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.
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
