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.