Exact analytic solutions to turbulent particle flow equations

A technique for solving a certain class of partial differential equations i s used to obtain exact solutions for particle dispersion in an unbounded Ga ussian random flow field in which the mean flow is a simple shear and the t urbulence is homogeneous and stationary. Results are compared with those of a simple random walk simulation and those obtained from tracking particles in a simple developing shear generated by LES. (C) 1999 American Institute of Physics. [S1070-6631(99)01104-6].