The Mathematical Institute, University of Oxford, Eprints Archive

Efficient preconditioning of the linearized Navier-Stokes equations

Silvester, David and Elman, Howard C. and Kay, David and Wathen, A. J. (1999) Efficient preconditioning of the linearized Navier-Stokes equations. Technical Report. Unspecified. (Submitted)

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Abstract

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 scaler 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:Technical Report (Technical Report)
Subjects:H - N > Numerical analysis
Research Groups:Numerical Analysis Group
ID Code:1284
Deposited By:Lotti Ekert
Deposited On:01 Jun 2011 09:20
Last Modified:01 Jun 2011 09:20

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