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On the coupling of viscous and inviscid models for incompressible fluid flows via domain decomposition. (English) Zbl 0652.76023
Domain decomposition methods for partial differential equations, 1st Int. Symp., Paris/France 1987, 350-369 (1988).
Summary: [For the entire collection see Zbl 0649.00019.]
We discuss the coupling between the Navier-Stokes equations for unsteady incompressible viscous flows with the Laplace equation modeling inviscid incompressible potential flows. The coupling is done through a domain decomposition procedure with overlapping; with such technique one can take advantage of an operator splitting technique for the time discretization of the Navier-Stokes equations. Numerical results obtained from finite element approximations are presented showing that the present method provides a matching technique of good quality.

76D05 Navier-Stokes equations for incompressible viscous fluids
76M99 Basic methods in fluid mechanics
76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics
35Q99 Partial differential equations of mathematical physics and other areas of application