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2012 An Alternative HSS Preconditioner for the Unsteady IncompressibleNavier-Stokes Equations in Rotation Form
Jia Liu
J. Appl. Math. 2012(SI12): 1-12 (2012). DOI: 10.1155/2012/307939

Abstract

We study the preconditioned iterative method for the unsteady Navier-Stokes equations. The rotation form of the Oseen system is considered. We apply an efficient preconditioner which is derived from the Hermitian/Skew-Hermitian preconditioner to the Krylov subspace-iterative method. Numerical experiments show the robustness of the preconditioned iterative methods with respect to the mesh size, Reynolds numbers, time step, and algorithm parameters. The preconditioner is efficient and easy to apply for the unsteady Oseen problems in rotation form.

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Jia Liu. "An Alternative HSS Preconditioner for the Unsteady IncompressibleNavier-Stokes Equations in Rotation Form." J. Appl. Math. 2012 (SI12) 1 - 12, 2012. https://doi.org/10.1155/2012/307939

Information

Published: 2012
First available in Project Euclid: 3 January 2013

zbMATH: 1244.76080
MathSciNet: MR2904546
Digital Object Identifier: 10.1155/2012/307939

Rights: Copyright © 2012 Hindawi

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