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Spectral multigrid techniques for the Navier-Stokes equations. (English) Zbl 0783.76071
We consider the vorticity-streamfunction formulation. Discretization in time is performed by a second order semi-implicit scheme where the diffusive term is treated in an implicit manner while the convective term is evaluated explicitly. For the discretization of the resulting Stokes- type problem, we introduce a new spectral collocation method. We propose an efficient finite difference preconditioner.

MSC:
76M25 Other numerical methods (fluid mechanics) (MSC2010)
76D05 Navier-Stokes equations for incompressible viscous fluids
65M70 Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
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