Finite volume simulation of cavitating flows

Thomas Barberon (1) , Philippe Helluy (2)

1 ANLA - Laboratoire d'Analyse Non Linéaire Appliquée
2 IRMA - Institut de Recherche Mathématique Avancée

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 pro jection 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.

Domaines: Equations aux dérivées partielles [math.AP]

Thomas Barberon, Philippe Helluy. Finite volume simulation of cavitating flows. Computers and Fluids, 2005, 34 (7), pp.832-858. ⟨hal-00139597⟩