TY - JFULL AU - Ze-Jun Hu and Ting-Zhu Huang and Ning-Bo Tan PY - 2013/6/ TI - Comparison of Two Types of Preconditioners for Stokes and Linearized Navier-Stokes Equations T2 - International Journal of Mathematical and Computational Sciences SP - 904 EP - 910 VL - 7 SN - 1307-6892 UR - https://publications.waset.org/pdf/17088 PU - World Academy of Science, Engineering and Technology NX - Open Science Index 77, 2013 N2 - To solve saddle point systems efficiently, several preconditioners have been published. There are many methods for constructing preconditioners for linear systems from saddle point problems, for instance, the relaxed dimensional factorization (RDF) preconditioner and the augmented Lagrangian (AL) preconditioner are used for both steady and unsteady Navier-Stokes equations. In this paper we compare the RDF preconditioner with the modified AL (MAL) preconditioner to show which is more effective to solve Navier-Stokes equations. Numerical experiments indicate that the MAL preconditioner is more efficient and robust, especially, for moderate viscosities and stretched grids in steady problems. For unsteady cases, the convergence rate of the RDF preconditioner is slightly faster than the MAL perconditioner in some circumstances, but the parameter of the RDF preconditioner is more sensitive than the MAL preconditioner. Moreover the convergence rate of the MAL preconditioner is still quite acceptable. Therefore we conclude that the MAL preconditioner is more competitive than the RDF preconditioner. These experiments are implemented with IFISS package.  ER -