AuthorsP. Hansbo, M. G. Larson and S. Zahedi
TitleA cut finite element method for a Stokes interface problem
Afilliation, Scientific Computing
Project(s)Center for Biomedical Computing (SFF)
StatusPublished
Publication TypeJournal Article
Year of Publication2014
JournalApplied Numerical Mathematics
Volume85
Pagination90 - 114
Publisher
ISSN0168-9274
KeywordsSharp interface method
Abstract

Abstract We present a finite element method for the Stokes equations involving two immiscible incompressible fluids with different viscosities and with surface tension. The interface separating the two fluids does not need to align with the mesh. We propose a Nitsche formulation which allows for discontinuities along the interface with optimal a priori error estimates. A stabilization procedure is included which ensures that the method produces a well conditioned stiffness matrix independent of the location of the interface.

URLhttp://www.sciencedirect.com/science/article/pii/S0168927414001184
DOI10.1016/j.apnum.2014.06.009
Citation Key23426