Mohamed Abdelwahed ; Rabé Badé ; Hedia Chaker - 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 - https://doi.org/10.46298/arima.1853
A kinetic model for a two phases flow simulation

Authors: Mohamed Abdelwahed 1; Rabé Badé 1; Hedia Chaker 1

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.

https://doi.org/10.46298/arima.1853
Source: HAL:hal-01263451v1
Volume: Volume 5, Special Issue TAM TAM'05, november 2006
Published on: September 22, 2006
Submitted on: March 6, 2006
Keywords: Two-phase flow, Vlasov equation, Navier-Stokes equations, particular method, mixed finite elements method,Ecoulement diphasique,équation de Vlasov,équations de Navier-Stokes,méthode particulaire,méthode des éléments finis mixtes,[MATH] Mathematics [math],[INFO] Computer Science [cs]

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