We compare the performance of different pressure correction algorithms used as basic solvers in a multigrid method for the solution of the incompressible Navier-Stokes equations on non-staggered grids. Numerical tests were performed on several cases of lid-driven cavity flow using four different pressure correction schemes, including the traditional SIMPLE and SIMPLEC methods as well as novel variants, and varying combinations of under-relaxation parameters. The results show that three of the four algorithms tested are robust smoothers for the multigrid solver, and that one of the new methods converges fastest in most of the tests.

Keywords: Incompressible laminar flow, Navier-Stokes equations, Multigrid methods, Pressure correction methods.

1991 Mathematics Subject Classification: 76D05, 76M20, 65N55, 35A40