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

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Keywords

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