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

Philippe Helluy (1, 2) , Jonathan Jung (3)

1 IRMA - Institut de Recherche Mathématique Avancée
2 CALVI - Scientific computation and visualization
3 EDP

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.

Mots clés: Well-balanced scheme; Glimm scheme; Lagrange-projection; two-fluid flows

Domaines: Equations aux dérivées partielles [math.AP]

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⟩