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

by V. John, L. Tobiska.

Series: 1998-40, Preprints

65M55 Multigrid methods; domain decomposition
65N22 Solution of discretized equations
65N55 Multigrid methods; domain decomposition
65Y05 Parallel computation

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.

incompressible Navier--Stokes equations, parallel

This paper was published in:
Int. J. Num. Meth. Fluids 33