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Multimodels for incompressible flows. (English) Zbl 0962.76021
Summary: The Navier-Stokes equations for incompressible fluid are coupled to models of reduced complexity, such as Oseen and Stokes equations, and the transmission conditions are investigated. We carry out the mathematical analysis of the corresponding problem and present numerical results obtained by finite elements and spectral elements for several flows of physical interest.

MSC:
76D05 Navier-Stokes equations for incompressible viscous fluids
76D07 Stokes and related (Oseen, etc.) flows
65M55 Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs
76M10 Finite element methods applied to problems in fluid mechanics
76M22 Spectral methods applied to problems in fluid mechanics
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