Further Investigation on the Solution of the Incompressible Navier-StokesEquations by Krylov Subspace and Multigrid Methods

摘要

Three iterative methods, that is, GMRESR, which consists of GCR with GMRES asinner loop, GCR with multigrid as inner loop and a multigrid method, are investigated by means of numerical experiments. The multigrid algorithm in the second and the third methods uses an ILU smoother. Numerical experiments are performed on a workstation and a vector mini supercomputer, and robustness and efficiency of the three methods are studied. Efficiency of the second and the third methods are compared with the corresponding two methods discussed in 'Solution of the Incompressible Navier-Stokes equations in General Coordinates by Krylor Subspace and Multigrid Methods' (PB95-225430), where an alternating Jacobi line smoother is used in the multigrid algorithm. It appears that good methods would come out of some suitable combinations of GCR type methods and multigrid methods.