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Research Article
Two preconditioners for saddle point problems in fluid flows
Article first published online: 19 DEC 2006
DOI: 10.1002/fld.1401
Copyright © 2006 John Wiley & Sons, Ltd.
Issue
1097-0363/asset/cover.gif?v=1&s=4f4c032b9f06da7e1e8ac4e112013c5bf916f2e7 "International Journal for Numerical Methods in Fluids")
International Journal for Numerical Methods in Fluids
Volume 54, Issue 4, pages 355–377, 10 June 2007
Additional Information
How to Cite
de Niet, A. C. and Wubs, F. W. (2007), Two preconditioners for saddle point problems in fluid flows. Int. J. Numer. Meth. Fluids, 54: 355–377. doi: 10.1002/fld.1401
Publication History
- Issue published online: 19 APR 2007
- Article first published online: 19 DEC 2006
- Manuscript Accepted: 30 SEP 2006
- Manuscript Revised: 27 SEP 2006
- Manuscript Received: 15 FEB 2006
Funded by
- The Technology Foundation STW, applied science division of NWO and the technology programme of the Ministry of Economic Affairs
- Abstract
- References
- Cited By
Keywords:
- saddle point problem;
- preconditioning;
- iterative methods;
- augmented Lagrangian;
- grad-div stabilization;
- artificial compressibility
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 © 2006 John Wiley & Sons, Ltd.