Abstract: A method is presented to deal with high-dimensional scalar PDF(probability density function) transport equation for two-phase flow in phase space (X, V), in which the PDF transport equation is reduced to velocity phase space.The particle velocity PDF f^v(V) is solved analytically and the particle position PDF is obtained statistically with Monte Carlo techniques. It shows that the method is better than the particle Reynolds stress trajectory model(PRST Model) in simulating a turbulent wall jet loaded with solid particles.

Key words: finite analytic method, probaility density function model of two-phase flow, numerical simulation, stochastic process