Go to content
UR Home

A stable numerical method for the dynamics of fluidic membranes

Barrett, John W., Garcke, Harald and Nürnberg, Robert (2014) A stable numerical method for the dynamics of fluidic membranes. Preprintreihe der Fakultät Mathematik 18/2014, Working Paper.

[img]
Preview
PDF
Download (908kB)
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 ...

plus


Export bibliographical data



Item type:Monograph (Working Paper)
Series of the University of Regensburg:Preprintreihe der Fakultät Mathematik
Date:2014
Institutions:Mathematics > Prof. Dr. Harald Garcke
Classification:
NotationType
65M60MSC
65M12MSC
76M10MSC
76Z99MSC
92C05MSC
35Q35MSC
76D05MSC
Keywords:fluidic membranes, incompressible two-phase flow, parametric finite elements, virtual element method, Helfrich energy, Boussinesq–Scriven surface fluid, local surface area conservation
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:33959
Owner only: item control page

Downloads

Downloads per month over past year

  1. Homepage UR

University Library

Publication Server

Contact:

Publishing: oa@ur.de

Dissertations: dissertationen@ur.de

Research data: daten@ur.de

Contact persons