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Journal Articles Comptes Rendus. Mathématique Year : 2007

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

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Abstract

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.

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cea-02355757 , version 1 (08-11-2019)

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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⟩

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