Eliminating spurious velocities with a stable approximation of incompressible two-phase flow

URN to cite this document:: urn:nbn:de:bvb:355-epub-289108
DOI to cite this document:: 10.5283/epub.28910

Barrett, John W. ; Garcke, Harald ; Nürnberg, Robert

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Date of publication of this fulltext: 14 Oct 2013 08:16

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Item type:	Monograph (Working Paper)
Series of the University of Regensburg:	Preprintreihe der Fakultät Mathematik
Volume:	12/2013
Date:	2013
Institutions:	Mathematics > Prof. Dr. Harald Garcke
Keywords:	incompressible two-phase flow, Stokes equations, free boundary problem, surface tension, finite elements, XFEM, front tracking
Dewey Decimal Classification:	500 Science > 510 Mathematics
Status:	Unknown
Refereed:	No, this version has not been refereed yet (as with preprints)
Created at the University of Regensburg:	Yes
Item ID:	28910

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Abstract

We present a parametric finite element approximation of two-phase flow. This free boundary problem is given by the 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. In addition, the mesh quality of the ...

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