A non-conforming finite element method for interface Stokes problems and its application to two-phase Rayleigh-Taylor instability with solid obstacles
2007 (English)Report (Other academic)
In this paper we establish an immersed finite element method for the solution of interface Stokes problems. The main idea of the method is to use a fixed, uniform mesh everywhere over the computational domain except the vicinity of the interface, where specifically designed macro elements are employed, such that the jump conditions are well approximated. In general, the resulting immersed finite element space is non-conforming. The interface itself is represented with the help of Lagrangian markers. The capabillity of the method is illustrated in the case of a Rayleigh-Taylor two-phase flow instability problem with solid obstacles governed by the Stokes equations.
Place, publisher, year, edition, pages
Stockholm: KTH , 2007. Vol. 4, 28 p.
, TRITA-CSC, ISSN 0348-2952 ; 2007:4
IdentifiersURN: urn:nbn:se:kth:diva-7564ISRN: KTH/NA-07/04-SEOAI: oai:DiVA.org:kth-7564DiVA: diva2:12629
QC 201008062007-10-232007-10-232010-08-06Bibliographically approved