A coupled well-balanced and random sampling scheme for computing bubble oscillations*

Philippe Helluy; Jonathan Jung

ESAIM: Proceedings (2012)

  • Volume: 35, page 245-250
  • ISSN: 1270-900X

Abstract

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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.

How to cite

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Helluy, Philippe, and Jung, Jonathan. Denis Poisson, Fédération, and Trélat, E., eds. " A coupled well-balanced and random sampling scheme for computing bubble oscillations*." ESAIM: Proceedings 35 (2012): 245-250. <http://eudml.org/doc/251252>.

@article{Helluy2012,
abstract = {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.},
author = {Helluy, Philippe, Jung, Jonathan},
editor = {Denis Poisson, Fédération, Trélat, E.},
journal = {ESAIM: Proceedings},
language = {eng},
month = {4},
pages = {245-250},
publisher = {EDP Sciences},
title = { A coupled well-balanced and random sampling scheme for computing bubble oscillations*},
url = {http://eudml.org/doc/251252},
volume = {35},
year = {2012},
}

TY - JOUR
AU - Helluy, Philippe
AU - Jung, Jonathan
AU - Denis Poisson, Fédération
AU - Trélat, E.
TI - A coupled well-balanced and random sampling scheme for computing bubble oscillations*
JO - ESAIM: Proceedings
DA - 2012/4//
PB - EDP Sciences
VL - 35
SP - 245
EP - 250
AB - 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.
LA - eng
UR - http://eudml.org/doc/251252
ER -

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