Multigrid Solution of the Convection-Diffusion Equation with High-Reynolds Number

Jun Zhang
Department of Mathematics
The George Washington University
Washington, DC 20052, USA

Abstract

A fourth-order compact finite difference scheme is employed with the multigrid technique to solve the variable coefficient convection-diffusion equation with high-Reynolds number. Scaled inter-grid transfer operators and potential on vectorization and parallelization are discussed. The high-order multigrid method is unconditionally stable and produces solution of 4th-order accuracy. Numerical experiments are included.

Key words and phrases: Multigrid method, high-order discretization, scaled residual transfer operator, convection-diffusion equation.

This paper has been published in the Preliminary Proceedings of the 1996 Copper Mountain Conference on Iterative Methods, Copper Mountain, Colorado, 1996, Vol. 2, pp. 1--9.