A LATTICE MODEL FOR THE EULERIAN DESCRIPTION OF HEAVY PARTICLES SUSPENSIONS IN ONE AND TWO DIMENSIONS

etc15 Tracking Number 424

Modeling of heavy particles motion in turbulent flows still represents a challenge in engineering applications at high Reynolds number. Various techniques have arisen for describing such mono-dispersed solid phases with statistical methods. Some of those techniques relies on the assumption of using a velocity field to describe the particles motion, which is valid at small Stokes number, others using large-eddy simulations, or using one and two-points probability density functions in Gaussian flows. Here we present another method based on a lattice discretization of the phase space in one and two dimensions for a synthetic flow in one dimension and a turbulent flow in two dimensions for the description of a dilute solid phase in the case of a Stokes coupling between the particles and the fluid and a brownian diffusion. This method is suited for any Stokes numbers in the limit of numerical stability and shows a good agreement with the Lagrangian particles statistics like radial distribution functions and collision rates.