Barrett, John W. ; Garcke, Harald 
; Nürnberg, Robert
Alternative Links zum Volltext:DOIVerlag
| Dokumentenart: | Artikel |
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| Titel eines Journals oder einer Zeitschrift: | Communications in Mathematical Sciences |
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| Verlag: | INT PRESS BOSTON, INC |
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| Ort der Veröffentlichung: | SOMERVILLE |
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| Band: | 13 |
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| Nummer des Zeitschriftenheftes oder des Kapitels: | 7 |
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| Seitenbereich: | S. 1829-1874 |
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| Datum: | 2015 |
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| Institutionen: | Mathematik > Prof. Dr. Harald Garcke |
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| Identifikationsnummer: | | Wert | Typ |
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| 10.4310/CMS.2015.v13.n7.a9 | DOI |
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| Stichwörter / 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 |
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| Dewey-Dezimal-Klassifikation: | 500 Naturwissenschaften und Mathematik > 510 Mathematik |
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| Status: | Veröffentlicht |
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| Begutachtet: | Ja, diese Version wurde begutachtet |
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| An der Universität Regensburg entstanden: | Ja |
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| Dokumenten-ID: | 60772 |
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Zusammenfassung
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 ...
Zusammenfassung
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.
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