The Mathematical Institute, University of Oxford, Eprints Archive

A nearly optimal preconditioner for the Navier-Stokes equations

Hemmingsson-Fraenden, Lina and Wathen, A. J. (1999) A nearly optimal preconditioner for the Navier-Stokes equations. Technical Report. Unspecified. (Submitted)

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Abstract

We present a preconditioner for the linearised Navier-Stokes equations which is based on the combination of fast transform approximation of an advection diffusion problem together with the recently introduced '$BFB^{T}$' preconditioner of Elman (SIAM J. Sci. Comput. 20 pp. 1299-1316, 1999). The resulting preconditioner when combined with an appropriate Krylov subspace iteration method yields the solution in a number of iterations which appears to be independent of the Reynolds number provided a mesh Peclet number restriction holds, and depends only mildly on the mesh size. The preconditioner is particularly appropriate for problems involving a primary flow direction.

Item Type:Technical Report (Technical Report)
Subjects:H - N > Numerical analysis
Research Groups:Numerical Analysis Group
ID Code:1286
Deposited By:Lotti Ekert
Deposited On:01 Jun 2011 09:19
Last Modified:01 Jun 2011 09:19

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