%0 Journal Article %T A well-balanced scheme for two-fluid flows in variable cross-section ducts %A Philippe Helluy %A Jonathan Jung %J Mathematics %D 2014 %I arXiv %X 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. %U http://arxiv.org/abs/1403.1382v1