Journal of Mathematics and Statistics

A Comparative Study of Block Preconditioners for Incompressible Flow Problems

Jia Liu

DOI : 10.3844/jmssp.2011.255.261

Journal of Mathematics and Statistics

Volume 7, Issue 4

Pages 255-261

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.

Copyright

© 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.