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An Alternative HSS Preconditioner for the Unsteady Incompressible Navier-Stokes Equations in Rotation Form
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An Alternative HSS Preconditioner for the Unsteady Incompressible Navier-Stokes Equations in Rotation Form

Jia Liu
Journal of applied mathematics, Vol.2012(2012), pp.1549-1560-195
04/2012
Web of Science ID: WOS:000303704900001

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Abstract

Navier-Stokes equations Fluid Mechanics Mathematics
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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An Alternative HSS Preconditioner for the Unsteady Incompressible Navier-Stokes Equations in Rotation FormView
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