A. Sedaghat, AN INVESTIGATION INTO PRECONDITIONING ITERATIVE SOLVERS FOR HYDRODYNAMIC PROBLEMS, Iranian Journal of Science & Technology, Transaction B, Engineering, Vol. 31, No. B4, pp 395-405, 2007

Iranian Journal of Science & Technology, Transaction B, Engineering, Vol. 31, No. B4, pp 395-405

Printed in The Islamic Republic of Iran, 2007

AN INVESTIGATION INTO PRECONDITIONING ITERATIVE

SOLVERS FOR HYDRODYNAMIC PROBLEMS*

A. SEDAGHAT**

Dept. of Mechanical Engineering, Isfahan University of Techno1ogy, Isfahan, 84156-83111, I. R. of Iran

Abstract– 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 incompressible 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.

Keywords– Krylov subspace, Navier-Stokes, preconditioned iterative methods, finite element

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2007

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