On smoothers in parallel coupled multigrid methods for incompressible Navier-Stokes equations

Authors:
Volker John
Affiliations:
Institut für Analysis und Numerik, Otto-von-Guericke-Universität Magdeburg,Postfach 4120, 39016 Magdeburg, Germany
Venue:
Scientific computing and applications
Year:
2001

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Abstract

We present a numerical study of two types of smoothers in parallelized coupled multigrid methods for the solution of incompressible Navier-Stokes equations. The Vanka smoother is characterized by the solution of many small linear systems of equations in each smoothing step whereas the Braess-Sarazin smoother solves one large linear saddle point problem. Our study is based on the nonconforming P1/P0- finite element discretization in space and the Crank-Nicolson discretization in time. The computations were performed on parallel computer HP N-Class with RISC 8500 processors using the communication interface MPI. The Vanka smoother shows a better efficiency in this framework.