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

Michele Benzi*, Kwok Po NG, Qiang Niu, Zhen Wang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

67 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)6185-6202
Number of pages18
JournalJournal of Computational Physics
Volume230
Issue number16
DOIs
Publication statusPublished - 10 Jul 2011

Scopus Subject Areas

  • Numerical Analysis
  • Modelling and Simulation
  • Physics and Astronomy (miscellaneous)
  • Physics and Astronomy(all)
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics

User-Defined Keywords

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

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