On the stable numerical approximation of two-phase flow with insoluble surfactant

URN to cite this document:: urn:nbn:de:bvb:355-epub-297702
DOI to cite this document:: 10.5283/epub.29770

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

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Date of publication of this fulltext: 07 Apr 2014 09:55

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Item type:	Monograph (Working Paper)
Series of the University of Regensburg:	Preprintreihe der Fakultät Mathematik
Volume:	20/2013
Date:	2013
Institutions:	Mathematics > Prof. Dr. Harald Garcke
Keywords:	incompressible two-phase flow, insoluble surfactants, finite elemen ts, front tracking, ALE ESFEM
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:	29770

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Abstract

We present a parametric finite element approximation of two- phase flow with insoluble surfactant. This free boundary problem is given by the Navier–Stokes equations for the two-phase flow in the bulk, which are coupled to the transport equation for the insoluble surfactant on the interface that separates the two phases. We combine the evolving surface finite element method with an approach ...

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