Stable numerical approximation of two-phase flow with a Boussinesq–Scriven surface fluid
File(s)
Accepted version
Author(s)
Barrett, JW
Garcke, H
Nurnberg, R
Type
Journal Article
Abstract
We consider two-phase Navier–Stokes flow with a Boussinesq–Scriven surface fluid. In such a fluid the rheological behavior at the interface includes surface viscosity effects in addition to the classical surface tension effects. We introduce and analyze parametric finite element approximations and show, in particular, stability results for semidiscrete versions of the methods by demonstrating that a free energy inequality also holds on the discrete level. We perform several numerical simulations for various scenarios in two and three dimensions which illustrate the effects of the surface viscosity.
Date Issued
2015
Date Acceptance
2015-01-01
Citation
Communications in Mathematical Sciences, 2015, 13 (7), pp.1829-1874
ISSN
1539-6746
Publisher
International Press
Start Page
1829
End Page
1874
Journal / Book Title
Communications in Mathematical Sciences
Volume
13
Issue
7
Copyright Statement
© 2015 The Authors.
Publication Status
Published