Analysis of an extended pressure finite element space for two-phase incompressible flows

@inproceedings{Reusken2007AnalysisOA,
title={Analysis of an extended pressure finite element space for two-phase incompressible flows},
author={Arnold Reusken},
year={2007}
}

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 (or VOF) method is applied then the interface, which is implicitly given by the zero level of the level set function, is in general not aligned with the triangulation that is used in the discretization of the flow problem. This nonalignment causes severe difficulties w.r.t. the discretization of the localized surface tension… CONTINUE READING