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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.

preprint2014arXivOpen access
Philippe HelluyJonathan Jung
math.AP
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Philippe HelluyJonathan Jung

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