Abstract: In order to investigate parameters of FAE(fuel air explosive)explosion, the two-phase gas-droplet conservation equations with two-dimensional axial symmetry in the Euler coordinate were used. High-resolution implicit TVD(total variation diminishing)schemes were applied to gas phase equations and MacCormack schemes to liquid equations. The for mation and propagation of gas-droplet detonation wave were simulated numerically. The simulation results and the others are compared with a good agreement.