05-35

On spurious velocities in incompressible flow problems with interfaces

by Ganesan, S.; Matthies, G.; Tobiska, L.

 

Preprint series: 05-35, Preprints

MSC:
65N30 Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods
65M60 Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods
76D05 Navier-Stokes equations, See also {35Q30}

 

Abstract: We show that a non-physical velocity may appear in the finite element calculation of incompressible two-phase flows subjected to an external local force. There are different sources responsible for this phenomenon: approximation of the incompressibility constraint, the interface, and the local external force. Furthermore, we demonstrate that this non-physical velocity does not vanish with the expected order of convergence. We evaluate different concepts and give recommendations for a proper handling of this phenomenon.

Keywords: incompressible flow, two-phase flow, interface, finite elements


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