Multigrid schemes for time-dependent incompressible Navier-Stokes equations. (English) Zbl 0785.76058
Summary: 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.
MSC:
76M25 | Other numerical methods (fluid mechanics) (MSC2010) |
76D05 | Navier-Stokes equations for incompressible viscous fluids |
65M55 | Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs |