%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