The Design Of A New Explicit Convection-Diffusion Solver On A Distributed Parallel System.

Abstract

In this paper, we extend the group explici method pioneered by Yousif and Evans (1986) to the solution of parabolic partial differential equation (p.d.e.) specifically the two dimensional convection-diffusion equation. We shall also investigate the parallel design of this iterative scheme intended for a message passing environment. The computational implementation of the parallel strategy on a cluster of distributed computers at the Parallel Computing Lab, Dept. of Computer Science, USM, will be described and discussed.