Stable finite element approximations of two-phase flow with soluble surfactant

URN to cite this document:: urn:nbn:de:bvb:355-epub-339557
DOI to cite this document:: 10.5283/epub.33955

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

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Date of publication of this fulltext: 27 Jun 2016 09:47

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Item type:	Monograph (Working Paper)
Series of the University of Regensburg:	Preprintreihe der Fakultät Mathematik
Volume:	14/2014
Date:	2014
Institutions:	Mathematics > Prof. Dr. Harald Garcke
Keywords:	incompressible two-phase flow, soluble surfactants, finite elements, 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:	33955

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Abstract

A parametric finite element approximation of incompressible two-phase flow with soluble surfactants is presented. The Navier–Stokes equations are coupled to bulk and surfaces PDEs for the surfactant concentrations. At the interface adsorption, desorption and stress balances involving curvature effects and Marangoni forces have to be considered. A parametric finite element approximation for the ...

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