A coupled Boltzmann & Navier-Stokes fragmentation model induced by a fluid-particle-spring interaction - Archive ouverte HAL
Article Dans Une Revue Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal Année : 2010

A coupled Boltzmann & Navier-Stokes fragmentation model induced by a fluid-particle-spring interaction

Résumé

This paper is concerned with the modelling and analysis of the interaction between particles and fluids with particular regarding to fragmentation processes. We simplify the model by assuming that the particles are constituted by spheres jointed by springs. Then the aim is to deduce the terms appearing in the Navier-Stokes-type equations for the fluid and the counterpart influence in the Boltznmann system for the particles. The resulting coupled system is analysed by means of a refined averaging lemma.
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Dates et versions

hal-00601403 , version 1 (17-06-2011)

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Pierre-Emmanuel Jabin, Juan Soler. A coupled Boltzmann & Navier-Stokes fragmentation model induced by a fluid-particle-spring interaction. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2010, 8 (4), pp.1244-1268. ⟨10.1137/080735655⟩. ⟨hal-00601403⟩
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