Efficient preconditioning of the linearized Navier-Stokes

Kay, David, Elman, Howard, Silvester, David and Wathen, Andrew (2001) Efficient preconditioning of the linearized Navier-Stokes. Journal of Computational and Applied Mathematics, 128. pp. 261-279. ISSN 0377-0427

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We outline a new class of robust and efficient methods for solving subproblems that arise in the linearization and operator splitting of Navier–Stokes equations. We describe a very general strategy for preconditioning that has two basic building blocks; a multigrid V-cycle for the scalar convection–diffusion operator, and a multigrid V-cycle for a pressure Poisson operator. We present numerical experiments illustrating that a simple implementation of our approach leads to an effective and robust solver strategy in that the convergence rate is independent of the grid, robust with respect to the time-step, and only deteriorates very slowly as the Reynolds number is increased.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Depositing User: EPrints Services
Date Deposited: 06 Feb 2012 18:11
Last Modified: 09 Jul 2012 09:33
URI: http://sro.sussex.ac.uk/id/eprint/15137
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