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A stable numerical method for the dynamics of fluidic membranes

URN to cite this document:
urn:nbn:de:bvb:355-epub-339594
Barrett, John W. ; Garcke, Harald ; Nürnberg, Robert
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Date of publication of this fulltext: 27 Jun 2016 11:40


Abstract

We develop a finite element scheme to approximate the dynamics of two and three dimensional fluidic membranes in Navier–Stokes flow. Local inextensibility of the membrane is ensured by solving a tangential Navier–Stokes equation, taking surface viscosity effects of Boussinesq–Scriven type into account. In our approach the bulk and surface degrees of freedom are discretized independently, which ...

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