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

Authors:
Michele Benzi;Michael Ng;Qiang Niu;Zhen Wang
Affiliations:
Department of Mathematics and Computer Science, Emory University, Atlanta, GA 30322, USA;Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong Kong;BNU-HKBU United International College, Zhuhai 519085, PR China and Mathematics and Physics Teaching Centre, Xi'an Jiaotong-Liverpool University, Suzhou 215123, PR China;Department of Mathematics and Computer Science, Emory University, Atlanta, GA 30322, USA
Venue:
Journal of Computational Physics
Year:
2011

Citing 18
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Abstract

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.