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On the nature of boundary conditions for flows with moving free surfaces. (English) Zbl 0739.76016

The authors have considered small perturbations of plane parallel flow between a wall and a moving free surface. The problem is posed on a rectangle with inflow and outflow boundaries. The usual boundary conditions are posed at the wall and the free surface, and the fluid satisfies the Navier-Stokes equations. Nature of boundary conditions, which can be imposed at the inflow and outflow boundaries in order to yield a well-posed problem are examined. Numerical simulations with the FIDAP package are used to illustrate the analytical results.
Reviewer: J.Prakash (Bombay)

MSC:

76D05 Navier-Stokes equations for incompressible viscous fluids
76E05 Parallel shear flows in hydrodynamic stability
35R35 Free boundary problems for PDEs

Software:

FIDAP
PDFBibTeX XMLCite
Full Text: DOI

References:

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