The Mathematical Institute, University of Oxford, Eprints Archive

A preconditioner for the 3D Oseen equations

Wathen, A. J. and Loghin, Daniel and Kay, David and Elman, Howard C. and Silvester, David (2002) A preconditioner for the 3D Oseen equations. Technical Report. Unspecified. (Submitted)

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Abstract

We describe a preconditioner for the linearised incompressible Navier-Stokes equations (the Oseen equations) which requires as components only a preconditioner/solver for each of a discrete Laplacian and a discrete advection-diffusion operator. With this preconditioner, convergence of an iterative method such as GMRES is independent of the mesh size and depends only mildly on the viscosity parameter (the inverse Reynolds number). Thus when the component preconditioner/solvers are effective on their respective subproblems (as one expects with an appropriate multigrid cycle for instance) a fast Oseen solver results.

Item Type:Technical Report (Technical Report)
Subjects:H - N > Numerical analysis
Research Groups:Numerical Analysis Group
ID Code:1224
Deposited By:Lotti Ekert
Deposited On:19 May 2011 07:38
Last Modified:19 May 2011 07:38

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