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

✍ Scribed by Michele Benzi; Michael Ng; Qiang Niu; Zhen Wang

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
488 KB
Volume
230
Category
Article
ISSN
0021-9991

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✦ Synopsis

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 . 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.

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