Elliott, Charles M. and Stinner, Björn (2011) PDEs on diffuse interfaces with applications to two-phase flow. In: Workshop on Phase Field Models in Fluid Mechanics, Regensburg, Germany, 14-16 Feb 2011 (Unpublished)

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Abstract

We have been developing and analysing an approach to solve an advection diffusion equations on a moving hypersurface represented by a thin layer. A suitable bulk density approximating the surface is employed to formulate the problem but leads to degenerate coeffcients which makes the analysis, convergence as the layer thickness tends to zero, and performing computations challenging. Our numerical method is based on linear finite elements and allows for an easy coupling with, for instance, phase field models describing the motion of the interface. Exemplary, we consider a simple model for two-phase ow with surfactants where the double-obstacle potential is used in order to ensure a finite interfacial thickness.

Item Type:	Conference Item (Paper)
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science > Mathematics
Date:	16 February 2011
Status:	Not Peer Reviewed
Publication Status:	Unpublished
Conference Paper Type:	Paper
Title of Event:	Workshop on Phase Field Models in Fluid Mechanics
Type of Event:	Workshop
Location of Event:	Regensburg, Germany
Date(s) of Event:	14-16 Feb 2011
URI:	http://wrap.warwick.ac.uk/id/eprint/48709

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