Solution of the Incompressible Navier-Stokes Equations in General Coordinates by Krylov Space and Multigrid Methods S. Zeng and P. Wesseling Department of Technical Mathematics and Informatics Delft University of Technology Mekelweg 4 2628 CD Delft The Netherlands Abstract In this paper three iterative methods are studied: preconditioned GMRES with ILU preconditioning, GMRESR with multigrid as inner loop, and multigrid for the solution of the incompressible Navier-Stokes equations in general coordinates. Robustness and efficiency of the three methods are investigated and compared. Numerical results show that the second method is very promising.