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

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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https://hal-cea.archives-ouvertes.fr/cea-02355757
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Submitted on : Friday, November 8, 2019 - 2:02:19 PM
Last modification on : Tuesday, April 28, 2020 - 11:28:13 AM

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

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