A well-balanced scheme for two-fluid flows in variable cross-section   ducts
  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. 
Philippe Helluy (IRMA, INRIA Nancy - Grand Est / IECN / LSIIT / IRMA),   Jonathan Jung (IRMA)
math.AP