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
IECL - Institut Élie Cartan de Lorraine (Université de Lorraine, Boulevard des Aiguillettes BP 70239 54506 Vandoeuvre-les-Nancy Cedex
Ile du Saulcy - 57 045 Metz Cedex 01 - France)
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.
https://hal.archives-ouvertes.fr/hal-00955150 Contributor : Jonathan JungConnect in order to contact the contributor Submitted on : Thursday, March 6, 2014 - 10:19:52 AM Last modification on : Friday, February 4, 2022 - 3:34:55 AM Long-term archiving on: : Friday, June 6, 2014 - 10:40:29 AM
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⟩