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A stable parametric finite element discretization of two-phase Navier–Stokes flow

URN to cite this document:
urn:nbn:de:bvb:355-epub-289226
Barrett, John W. ; Garcke, Harald ; Nürnberg, Robert
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Date of publication of this fulltext: 14 Oct 2013 08:22


Abstract

We present a parametric finite element approximation of two-phase flow. This free boundary problem is given by the Navier–Stokes equations in the two phases, which are coupled via jump conditions across the interface. Using a novel variational formulation for the interface evolution gives rise to a natural discretization of the mean curvature of the interface. The parametric finite element ...

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