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Finite volume approximation of two phase-fluid flows based on an approximate Roe-type Riemann solver. (English) Zbl 0834.76070
Summary: We introduce an approximate Roe type Riemann solver for the numerical simulation of two-phase fluid flows composed of liquid droplets suspended in gas. We compute a Roe linearization of some well-conditioned approximate Rankine-Hugoniot relations in nonconservation form. The computed solutions are found to be in good agreement with the exact solution in one dimension slab geometry. We extend this solver to two- dimensional geometries using a finite volume formulation.

76M25 Other numerical methods (fluid mechanics) (MSC2010)
76T99 Multiphase and multicomponent flows
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