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

摘要

We propose a finite volume scheme for computing two-fluid flows in variablecross-section ducts. Our scheme satisfies a well-balanced property. It is basedon the VFRoe approach. The VFRoe variables are the Riemann invariants of thestationnary wave and the cross-section. In order to avoid spurious pressureoscillations, the well-balanced approach is coupled with an ALE (ArbitraryLagrangian Eulerian) technique at the interface and a random sampling remap.