98-40

Smoothers in Coupled Multigrid Methods for the Parallel Solution of the Incompressible Navier--Stokes Equations

by V. John; L. Tobiska

 

Preprint series: 98-40, Preprints

The paper is published: Int. J. Num. Meth. Fluids 33, 453 - 473, 2000 with the title \'Numerical Performance of Smoothers in Coupled Multigrid Methods for the Parallel Solution of the Incompressible Navier--Stokes Equations\'

MSC:
65M55 Multigrid methods; domain decomposition
65N22 Solution of discretized equations, See also {65Fxx, 65Hxx}
65N55 Multigrid methods; domain decomposition
65Y05 Parallel computation

 

Abstract: Coupled multigrid methods have been proven as efficient solvers for the incompressible Navier--Stokes equations in recent benchmark computations (1996). This paper presents a numerical study of two classes of smoothers in these methods. The class of Vanka--type smoothers is characterized by the solution of small local linear systems of equations in a Gauss--Seidel manner in each smoothing step whereas the Brass--Sarazin--type smoothers solve a large global saddle point problem. The behaviour of these smoothers with respect to computing times and parallel overhead is studied on 2d DFG benchmark problems of flows around a cylinder.

Keywords: incompressible Navier--Stokes equations, parallel

Notes: The paper version of the preprint has the wrong number 98-26.


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