Numerical models for turbulent fluid-particle flows are reviewed. The
two approaches typically used for modeling the dispersed (particle) ph
ase are the trajectory and two-fluid formulations, while volume-averag
ed models are most common for the continuous (fluid) phase. The review
is structured according to the turbulence models used for the continu
ous phase: turbulence energy-dissipation models, large-eddy simulation
s, direct numerical simulations, and discrete vortex models. The appli
cations of these models to simulate particle dispersion due to fluid t
urbulence and the adjustments to the models to account for the modulat
ion of the carrier phase turbulence by the particles are addressed.