A Relaxed Splitting Preconditioner for the Incompressible Navier‐Stokes Equations | Zendy

Ning-Bo Tan | Zendy; TingZhu Huang | Zendy; Ze-Jun Hu | Zendy

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A Relaxed Splitting Preconditioner for the Incompressible Navier‐Stokes Equations

Author(s) -

Ning-Bo Tan,

TingZhu Huang,

Ze-Jun Hu

Publication year - 2012

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2012/402490

Subject(s) - preconditioner , saddle point , mathematics , compressibility , navier–stokes equations , incompressible flow , convergence (economics) , matrix (chemical analysis) , pressure correction method , mathematical analysis , rate of convergence , flow (mathematics) , linear system , physics , mechanics , computer science , geometry , materials science , computer network , channel (broadcasting) , economics , composite material , economic growth

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

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