Zurück zu den Preprints des Jahres 2005


2005-35

On spurious velocities in incompressible flow problems with interfaces

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


Series: 2005-35, 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

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