Barrett, John W. and Garcke, Harald and Nuernberg, Robert (2015) STABLE NUMERICAL APPROXIMATION OF TWO-PHASE FLOW WITH A BOUSSINESQ-SCRIVEN SURFACE FLUID. COMMUNICATIONS IN MATHEMATICAL SCIENCES, 13 (7). pp. 1829-1874. ISSN 1539-6746,
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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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | FINITE-ELEMENT APPROXIMATION; STOKES-FLOW; THIN-FILM; EQUATIONS; DYNAMICS; DISCRETIZATION; COMPUTATIONS; Incompressible two-phase flow; surface viscosity; Boussinesq-Scriven surface fluid; finite elements; parametric method; stability |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Harald Garcke |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 29 Jul 2019 13:57 |
| Last Modified: | 29 Jul 2019 13:57 |
| URI: | https://pred.uni-regensburg.de/id/eprint/6209 |
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