Geodesic
A coupled well-balanced and random sampling scheme for computing bubble oscillations
Philippe Helluy1 ; Jonathan Jung1
1 IRMA, University of Strasbourg, France
ESAIM. Proceedings, Tome 35 (2012), pp. 245-250.

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We propose a finite volume scheme to study the oscillations of a spherical bubble of gas in a liquid phase. Spherical symmetry implies a geometric source term in the Euler equations. Our scheme satisfies the well-balanced property. It is based on the VFRoe approach. In order to avoid spurious pressure oscillations, the well-balanced approach is coupled with an ALE (Arbitrary Lagrangian Eulerian) technique at the interface and a random sampling remap.
DOI : 10.1051/proc/201235022

Philippe Helluy 1 ; Jonathan Jung 1

1 IRMA, University of Strasbourg, France 
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     title = {A coupled well-balanced and random sampling scheme for computing bubble oscillations},
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Philippe Helluy; Jonathan Jung. A coupled well-balanced and random sampling scheme for computing bubble oscillations. ESAIM. Proceedings, Tome 35 (2012), pp. 245-250. doi : 10.1051/proc/201235022. http://geodesic.mathdoc.fr/articles/10.1051/proc/201235022/

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