The purpose of this paper is the modelling of particle-particle collisions by Stochastic Lagrangian approach in gas-solid turbulent shear flows. A generalized Monte Carlo algorithm is introduced which takes into account the correlation between the colliding particles. Particle-particle and fluid-particle velocity correlations from Stochastic Lagrangian simulations are compared with results from Deterministic Particles Simulation coupled with Large Eddy Simulation of a gas turbulent shear flow (DPS/LES), and with predictions computed in the frame of the moment method using separate transport equation for the fluid and particle velocity correlations.

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