The Mathematical Institute, University of Oxford, Eprints Archive

A Green's function preconditioner for the steady-state Navier-Stokes equations

Kay, David and Loghin, Daniel (1999) A Green's function preconditioner for the steady-state Navier-Stokes equations. Technical Report. Unspecified. (Submitted)

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Abstract

In this paper we present an efficient method for solving the sparse linear system of equations arising from the discretization of the linearised steady-state Navier-Stokes equations (also known as the Oseen equations). The solver is an iterative method of Krylov subspace type for which we devise a preconditioner based on Green's tensor for the Oseen operator. The preconditioner supersedes existing preconditioners for the Oseen problem in that it exhibits only a mild dependence on the viscosity (inverse Reynolds number) and, most importantly, improved performance with the size of the problem. This comes as no surprise, as preconditioners based on the continuous inverse are expected to perform better on discretizations which approximate well the continuous operator.

Item Type:Technical Report (Technical Report)
Subjects:H - N > Numerical analysis
Research Groups:Numerical Analysis Group
ID Code:1292
Deposited By:Lotti Ekert
Deposited On:02 Jun 2011 08:57
Last Modified:02 Jun 2011 08:57

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