A Relaxed Dimensional Factorization preconditioner for the incompressible Navier-Stokes equations

被引：95

作者：

Benzi, Michele ^{[1
]}

Ng, Michael ^{[2
]}

Niu, Qiang ^{[3
,4
]}

Wang, Zhen ^{[1
]}

机构：

[1] Emory Univ, Dept Math & Comp Sci, Atlanta, GA 30322 USA

[2] Hong Kong Baptist Univ, Dept Math, Kowloon Tong, Hong Kong, Peoples R China

[3] BNU HKBU United Int Coll, Zhuhai 519085, Peoples R China

[4] Xian Jiaotong Liverpool Univ, Math & Phys Teaching Ctr, Suzhou 215123, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2011年 / 230卷 / 16期

关键词：

Saddle point problem; Navier-Stokes equations; Oseen problem; Krylov subspace method; Dimensional Splitting; Dimensional Factorization;

D O I：

10.1016/j.jcp.2011.04.001

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper we introduce a Relaxed Dimensional Factorization (RDF) preconditioner for saddle point problems. Properties of the preconditioned matrix are analyzed and compared with those of the closely related Dimensional Splitting (DS) preconditioner recently introduced by Benzi and Guo [7]. Numerical results for a variety of finite element discretizations of both steady and unsteady incompressible flow problems indicate very good behavior of the RDF preconditioner with respect to both mesh size and viscosity. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：6185 / 6202

页数：18

共 40 条

[1] An approximate minimum degree ordering algorithm [J].