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A well-balanced scheme for two-fluid flows in variable cross-section ducts

Philippe Helluy 1, 2 Jonathan Jung 3
2 CALVI - Scientific computation and visualization
IRMA - Institut de Recherche Mathématique Avancée, LSIIT - Laboratoire des Sciences de l'Image, de l'Informatique et de la Télédétection, Inria Nancy - Grand Est, IECL - Institut Élie Cartan de Lorraine
3 EDP
IRMA - Institut de Recherche Mathématique Avancée
Abstract : We propose a finite volume scheme for computing two-fluid flows in variable cross-section ducts. Our scheme satisfies a well-balanced property. It is based on the VFRoe approach. The VFRoe variables are the Riemann invariants of the stationnary wave and the cross-section. 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.
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https://hal.archives-ouvertes.fr/hal-00955150
Contributor : Jonathan Jung <>
Submitted on : Thursday, March 6, 2014 - 10:19:52 AM
Last modification on : Friday, June 19, 2020 - 9:22:05 AM
Document(s) archivé(s) le : Friday, June 6, 2014 - 10:40:29 AM

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  • HAL Id : hal-00955150, version 1
  • ARXIV : 1403.1382

Citation

Philippe Helluy, Jonathan Jung. A well-balanced scheme for two-fluid flows in variable cross-section ducts. Finite Volumes for Complex Applications VI, Jun 2011, Prague, Czech Republic. pp.561-569. ⟨hal-00955150⟩

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