Abstract

The instationary incompressible Navier-Stokes equations are discretized with a finite volume method in curvilinear coordinates on a staggered grid. Several multigrid schemes to solve time-dependent equations are presented, investigated and compared: the time marching scheme, a parabolic multigrid scheme, and a multigrid waveform relaxation scheme. All methods will be based on the same robust smoother, a coupled smoothing method. Furthermore the behaviour of the BDF(2)- time discretization scheme is investigated. Some test problems are investigated, not only rectangular ones.

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