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Particle methods for rarefied gas and two-phase flows (plan)

1. Introduction

2. The Boltzmann equation
        The particle acceleration
        The drag force
        The collision kernel
3. Scales of the problem
4. The Lagrangian approach: general algorithm of particle methods
        Collision process in the homogeneous case
5. The Eulerian approach
6.1 Effects on particles of the fluid turbulence with RANS models (Case 1: Lagrangian approach)
        A theoretical result on a Gossmann Ioannides type model
6.1 Effects on particles of the fluid turbulence with RANS models (Case 2: Eulerian approach)
6.2 Effects on particles of the fluid turbulence with LES models
7. Effects of particles on the fluid turbulence
        Diagram of turbulence modulation
8. Justification of the particle self diffusion in a simple case