A Compact Multigrid Solver
for
Convection-Diffusion Equations


Murli M. Gupta, Jules Kouatchou, and Jun Zhang


We introduce a multigrid algorithm to solve the convection-diffusion equations using a nine-point compact difference scheme. We test the efficiency of the algorithm with various smoothers and intergrid transfer operators. The algorithm displays a grid-independent convergence rate and produces solutions with high accuracy. Numerical results are presented to validate the conclusions.