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ISSN: 1549-3644 (Print)
ISSN: 1558-6359 (Online)
Research Article Open Access

A Comparative Study of Block Preconditioners for Incompressible Flow Problems

Jia Liu

Abstract

Problem statement: We consider the numerical solvers for the linearized Navier-Stokes problem. Both the Stokes problem and Oseen problems are considered. Approach: We used the Mark and Cell (MAC) discretization method to discretize the Navier-Stokes equations. We used preconditioned Krylov subspace methods to solve the resulting linear systems. Results: Numerical experimental results are performed to compare the different preconditioners. Conclusion: The choice of the preconditioner is highly problem dependent and we give the suggestions for individual cases.

Journal of Mathematics and Statistics
Volume 7 No. 4, 2011, 255-261

DOI: https://doi.org/10.3844/jmssp.2011.255.261

Submitted On: 10 August 2011 Published On: 14 September 2011

How to Cite: Liu, J. (2011). A Comparative Study of Block Preconditioners for Incompressible Flow Problems. Journal of Mathematics and Statistics, 7(4), 255-261. https://doi.org/10.3844/jmssp.2011.255.261

Open AccessCopyright: © 2011 Jia Liu. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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Keywords

  • Fluid mechanics
  • iterative methods
  • navier-stokes
  • stokes problem
  • oseen problem
  • hermitian and skew-hermitian splitting