98-40
Smoothers in Coupled Multigrid Methods for the Parallel Solution of the Incompressible Navier--Stokes Equations
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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