A Compact Multigrid Solver for Convection-Diffusion Equations

✍ Scribed by Murli M. Gupta; Jules Kouatchou; Jun Zhang

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 288 KB
• Volume: 132
• Category: Article
• ISSN: 0021-9991
• DOI: 10.1006/jcph.1996.5627

✦ Synopsis

In Section 2 we present the N P F difference scheme to solve the convection-diffusion equation ( 1), describe its

We introduce a multigrid algorithm to solve the convectiondiffusion equations using a nine-point compact difference scheme.

implementation with multigrid, and carry out a Fourier

We test the efficiency of the algorithm with various smoothers and smoothing analysis of the Gauss-Seidel operator. In Secintergrid transfer operators. The algorithm displays a grid-indepention 3 we present numerical experiments that demonstrate dent convergence rate and produces solutions with high accuracy.

the effectiveness and accuracy of the multigrid algorithm.

Numerical results are presented to validate the conclusions. ᮊ 1997

The paper ends with discussion and conclusions.

Academic Press

THE MULTIGRID IMPLEMENTATION