291 IGPM291.pdf        December 2008
TITLE An Extended Finite Element Method Applied to Levitated Droplet Problems
AUTHORS Patrick Esser, Jörg Grande, Arnold Reusken
ABSTRACT We consider a standard model for incompressible two-phase flows in which a localized force at the interface describes the effect of surface tension. If a level set method is applied then the approximation of the interface is in general not aligned with the triangulation. This causes severe difficulties w.r.t. the discretization and often results in large spurious velocities. In this paper we reconsider a (modified) extended finite element method (XFEM), which in previous papers has been investigated for relatively simple two-phase flow model problems, and apply it to a physically realistic levitated droplet problem. The results show that due to the extension of the standard FE space one obtains much better results in particular for large interface tension coefficients. Furthermore, a certain cut-off technique results in better efficiency without sacrificing accuracy.
KEYWORDS finite element, surface tension, spurious velocities, level set method, two-phase flow
DOI 10.1002/nme.2913
PUBLICATION International journal for numerical methods in engineering
IJNME 84(7), 757-773 (2010)