Influence of interfacial pressure on the hyperbolicity of the two-fluid model

M. Ndjinga (1)

1 CEA-DES (ex-DEN) - CEA-Direction des Energies (ex-Direction de l'Energie Nucléaire)

The two-fluid Model, widely used in the modeling of two phase flows, generally fails to be hyperbolic in its basic formulation.However, it is well known that interfacial forces, bringing new differential terms to the system can make the model hyperbolic.This paper details the effects interfacial pressure has on the hyperbolicity of the two-fluid model, in the general case of two compressiblephases. We characterise the location and topology of the non hyperbolic regions and propose a closure law for the interfacial pressure to makes the system hyperbolic.

Mots clés: Two-fluid model; well-posedness; hyperbolicity; interfacial pressure; two phase flow

Domaines: Physique Nucléaire Expérimentale [nucl-ex]; Physique Nucléaire Théorique [nucl-th]

M. Ndjinga. Influence of interfacial pressure on the hyperbolicity of the two-fluid model. Comptes Rendus. Mathématique, 2007, 344, ⟨10.1016/j.crma.2007.02.006⟩. ⟨cea-02355757⟩