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A stable numerical method for the dynamics of fluidic membranes

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



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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