Numerical Study of a Multigrid Method with Four Smoothing Methods for
the Incompressible Navier-Stokes Equations in General Coordinates

S. Zeng and P. Wesseling
Department of Technical Mathematics and Informatics
Delft University of Technology
Mekelweg 4
2628 CD Delft
The Netherlands


The performance of a linear multigrid method using four smoothing methods, called SCGS, CLGS, SILU, and CILU is investigated for the incompressible Navier-Stokes equations in general coordinates, in association with Galerkin coarse grid approximation. Robustness and efiiciency are measured and compared by application to test problems. The numerical results show that CILU is the most robust, SILU the least, with CLGS and SCGS in between. CLGS is the best in effciency, SCGS and CILU follow, and SILU is the worst.

Contributed Februrary 4, 1994.