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A kinetic model for a two phases flow simulation

Abstract : This work deals with the modelling and simulation of the air bubble injection effect in a water reservoir. The water phase is modelled by a Navier-Stokes quation in which we integrate the air bubble effect by a source term. This one depends on probability density function described by a kinetic model. For the numerical aspects we used particular method for kinetic equation and mixed finite elements method for Navier-Stokes equations. Finally, we present some numercial results to illustrate the used method.
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https://hal.inria.fr/hal-01263451
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Mohamed Abdelwahed, Rabé Badé, Hedia Chaker. A kinetic model for a two phases flow simulation. Revue Africaine de la Recherche en Informatique et Mathématiques Appliquées, INRIA, 2006, 5, pp.37-51. ⟨hal-01263451⟩

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