Multigrid Solution of 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


Galerkin coarse grid approximation (GCA) in multigrid methods is investigated for the incompressible Navier-Stokes equations in general coordinates. An efficient algorithm performing GCA is presented. The behavior of coarse grid matrices is studied under GCA with different transfer operators. For aquare and L-shaped driven cavaty problems, the performance of the multigrid methods using different combinations of transfer operators for the computation of coarse grid matrices and of coarse grid correction is investigated. Further computations are carried out in general coordinates for a channel flow problem with backward facing step in three dimensions.

Contributed Februrary 4, 1994.