A Lagrangian approach is used to simulate particle dispersion in aniso
tropic turbulent flows. Discrete particles are tracked in three dimens
ions, influenced by the fluid's turbulent velocity fluctuations. The f
luctuations are temporally and directionally correlated through a stat
istical sampling method reflecting the anisotropy of the flow field. T
hey are calculated at the discrete particle's position through a spati
al correlation which takes into consideration the anisotropy of the Re
ynolds stresses. The method is first tested as to the performance of t
he temporal and directional correlation features and is then combined
with a Eulerian scheme and an algebraic Reynolds stress model for the
prediction of the carrier phase. The final form of the model is used t
o predict a two-phase turbulent round jet and a two-phase inert flow f
rom a quarl burner, with swirl. In parallel to these, the method is co
mpared to a previous particle-tracking method based on an isotropic hy
pothesis.