AN INVESTIGATION INTO PRECONDITIONING ITERATIVE SOL VERS FOR HYDRODYNAMIC PROBLEMS

Two Krylov subspace iterative methods, GMRES and QMR, were studied in conjunction with several preconditioning techniques for solving the linear system raised from the finite element discretisation of the Navier-Stokes equations for hydrodynamic problems. The preconditioning methods under investigation were the incomplete factorisation methods such as ILU(0) and MILU, the Stokes preconditioner, and the Elman-Silvester block triangular preconditioner. It is observed that the GMRES solver with the Elman-Silvester preconditioner provides faster convergence than the other methods studied here.