Mohamed Abdelwahed ; Rabé Badé ; Hedia Chaker
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A kinetic model for a two phases flow simulation
arima:1853 -
Revue Africaine de Recherche en Informatique et Mathématiques Appliquées,
September 22, 2006,
Volume 5, Special Issue TAM TAM'05, november 2006
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https://doi.org/10.46298/arima.1853
A kinetic model for a two phases flow simulationArticle
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.