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Finite volume simulation of cavitating flows. (English) Zbl 1134.76392
Summary: We propose a numerical method adapted to the modelling of phase transitions in compressible fluid flows. Pressure laws taking into account phase transitions are complex and lead to difficulties such as the non-uniqueness of entropy solutions. In order to avoid these difficulties, we propose a projection finite volume scheme. This scheme is based on a Riemann solver with a simpler pressure law and an entropy maximization procedure that enables us to recover the original complex pressure law. Several numerical experiments are presented that validate this approach.

MSC:
76M12 Finite volume methods applied to problems in fluid mechanics
76N15 Gas dynamics, general
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