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
The author(s) agree, that this abstract may be stored asfull text and distributed as such by abstracting services.