Two preconditioners for saddle point problems in fluid flows

A.C. de Niet, F.W. Wubs

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Abstract

In this paper two preconditioners for the saddle point problem are analysed: one based on the augmented Lagrangian approach and another involving artificial compressibility. Eigenvalue analysis shows that with these preconditioners small condition numbers can be achieved for the preconditioned saddle point matrix. The preconditioners are compared with commonly used preconditioners from literature for the Stokes and Oseen equation and an ocean flow problem. The numerical results confirm the analysis: the preconditioners are a good alternative to existing ones in fluid flow problems. Copyright (c) 2006 John Wiley & Sons, Ltd.

Original languageEnglish
Pages (from-to)355-377
Number of pages23
JournalInternational journal for numerical methods in fluids
Volume54
Issue number4
DOIs
Publication statusPublished - 10-Jun-2007

Keywords

  • saddle point problem
  • preconditioning
  • iterative methods
  • augmented Lagrangian
  • grad-div stabilization
  • artificial compressibility
  • NAVIER-STOKES EQUATIONS
  • INCOMPRESSIBLE-FLOW
  • SYSTEMS
  • PERFORMANCE

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