A closed Eulerian/Eulerian/Lagrangian mathematical model(E/E/L model) for simulating gas-liquid-solid three-phase local flow was established by combining Two Fluid Model(TFM) and District Element Method(DEM).This model was based on the fundamental equations of fluid mechanics. The motion of particles was described in the Lagrangian coordinates

while the gas phase and the liquid phase were dealt with in the Eulerian coordinates.Based on IPSA and PSIC solution techniques

the program of simulating gas-liquid-solid local flow was achieved. The predicted results of local gas holdup and local solid holdup as well as local axial liquid velocity agreed well with the experimental data in gas-liquid-solid three-phase fluidized bed

and the applicability and reliability of this model were validated.