A Relaxed Splitting Preconditioner for the Incompressible Navier-Stokes Equations

A Relaxed Splitting Preconditioner for the Incompressible Navier-Stokes Equations

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 ar...

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Main Authors: Ning-Bo Tan, Ting-Zhu Huang, Ze-Jun Hu
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/402490
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spelling doaj-5db5d4eae11f449d8fa6e94e36bb46b72020-11-24T21:42:16ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/402490402490A Relaxed Splitting Preconditioner for the Incompressible Navier-Stokes EquationsNing-Bo Tan0Ting-Zhu Huang1Ze-Jun Hu2School of Mathematical Sciences, University of Electronic Science and Technology of China, Sichuan, Chengdu 611731, ChinaSchool of Mathematical Sciences, University of Electronic Science and Technology of China, Sichuan, Chengdu 611731, ChinaSchool of Mathematical Sciences, University of Electronic Science and Technology of China, Sichuan, Chengdu 611731, ChinaA 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.http://dx.doi.org/10.1155/2012/402490
collection DOAJ
language English
format Article
sources DOAJ
author Ning-Bo Tan
Ting-Zhu Huang
Ze-Jun Hu
spellingShingle Ning-Bo Tan
Ting-Zhu Huang
Ze-Jun Hu
A Relaxed Splitting Preconditioner for the Incompressible Navier-Stokes Equations
Journal of Applied Mathematics
author_facet Ning-Bo Tan
Ting-Zhu Huang
Ze-Jun Hu
author_sort Ning-Bo Tan
title A Relaxed Splitting Preconditioner for the Incompressible Navier-Stokes Equations
title_short A Relaxed Splitting Preconditioner for the Incompressible Navier-Stokes Equations
title_full A Relaxed Splitting Preconditioner for the Incompressible Navier-Stokes Equations
title_fullStr A Relaxed Splitting Preconditioner for the Incompressible Navier-Stokes Equations
title_full_unstemmed A Relaxed Splitting Preconditioner for the Incompressible Navier-Stokes Equations
title_sort relaxed splitting preconditioner for the incompressible navier-stokes equations
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2012-01-01
description 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.
url http://dx.doi.org/10.1155/2012/402490
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AT zejunhu arelaxedsplittingpreconditionerfortheincompressiblenavierstokesequations
AT ningbotan relaxedsplittingpreconditionerfortheincompressiblenavierstokesequations
AT tingzhuhuang relaxedsplittingpreconditionerfortheincompressiblenavierstokesequations
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