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A Relaxed Splitting Preconditioner for the Incompressible Navier-Stokes Equations

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  • Ning-Bo Tan
  • Ting-Zhu Huang
  • Ze-Jun Hu

Abstract

A relaxed splitting preconditioner based on matrix splitting is introduced in this paper for linear systems of saddle point problem arising from numerical solution of the incompressible Navier-Stokes equations. Spectral analysis of the preconditioned matrix is presented, and numerical experiments are carried out to illustrate the convergence behavior of the preconditioner for solving both steady and unsteady incompressible flow problems.

Suggested Citation

  • Ning-Bo Tan & Ting-Zhu Huang & Ze-Jun Hu, 2012. "A Relaxed Splitting Preconditioner for the Incompressible Navier-Stokes Equations," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-12, June.
    • Handle: RePEc:hin:jnljam:402490
    DOI: 10.1155/2012/402490
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    Cited by:

    1. Wei, Jiangchao & Ma, Changfeng, 2024. "A modified RBULT preconditioner for generalized saddle point problems from the hydrodynamic equations," Applied Mathematics and Computation, Elsevier, vol. 478(C).

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