Barrett, John W. and Garcke, Harald and Nuernberg, Robert (2015) ON THE STABLE NUMERICAL APPROXIMATION OF TWO-PHASE FLOW WITH INSOLUBLE SURFACTANT. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 49 (2). pp. 421-458. ISSN 0764-583X, 1290-3841
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We present a parametric finite element approximation of two-phase flow with insoluble surfactant. This free boundary problem is given by the Navier-Stokes equations for the two-phase flow in the bulk, which are coupled to the transport equation for the insoluble surfactant on the interface that separates the two phases. We combine the evolving surface finite element method with an approach previously introduced by the authors for two-phase Navier-Stokes flow, which maintains good mesh properties. The derived finite element approximation of two-phase flow with insoluble surfactant can be shown to be stable. Several numerical simulations demonstrate the practicality of our numerical method.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | FINITE-ELEMENT APPROXIMATION; LEVEL-SET METHOD; INTERFACIAL FLOWS; SOLUBLE SURFACTANTS; EVOLVING SURFACES; THIN-FILM; DROP; COMPUTATION; EQUATIONS; DEFORMATION; Incompressible two-phase flow; insoluble surfactants; finite elements; front tracking; ALE ESFEM |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Harald Garcke |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 24 Jul 2019 10:57 |
| Last Modified: | 24 Jul 2019 10:57 |
| URI: | https://pred.uni-regensburg.de/id/eprint/5865 |
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