Navier-Stokes Equations in General Coordinates

Department of Technical Mathematics and Informatics

Delft University of Technology

Mekelweg 4

2628 CD Delft

The Netherlands

In this paper, a part of multigrid methods, namely Galerkin coarse grid approximation is discussed for the incompressible Navier-Stokes equations in general coordinates, for two-dimensional problems. Some possible prolongations and restrictions are given, with modifications for both Dirichlet boundary conditions and Neumann boundary conditions. An algorithm for computing the Galerkin coarse grid approximation is given.

Contributed Februrary 4, 1994.