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A Relaxed Splitting Preconditioner for the Incompressible Navier‐Stokes Equations

Journal of Applied MathematicsPublished 1 January 2012Open access
Ning-Bo Tan, Ting‐Zhu Huang, Ze-Jun Hu
Citations48
SJR quartileQ3
SJR score0.28
SNIP0.70
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TL;DR

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.

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.

Keywords

Computer ScienceEngineeringPhysics and Astronomy