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A pseudospectral multi-domain method for the incompressible Navier-Stokes equations. (English) Zbl 1001.76072

Summary: We present a pseudospectral method for solution of incompressible flow problems based on an iterative solver involving implicit treatment of linearized convective terms. The method is designed for moderately complex geometries by means of a multi-domain approach. Key components are Chebyshev collocation discretization, a special pressure-correction scheme, and a restarted GMRES method with preconditioner derived from a fast direct solver. The performance of the method with respect to multi-domain functionality is investigated and compared to finite volume approaches.

MSC:

76M22 Spectral methods applied to problems in fluid mechanics
76D05 Navier-Stokes equations for incompressible viscous fluids
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