Abstract: With droplet gas two phase detonation model, the shock wave ignition of FAE two phase detonation and the propagating of detonation wave were simulated. Three dimensional finite volume TVD method was used to investigate the process of three dimensional shock wave propagation in street and its destructive effects on buildings, for FAE explosion. An advanced programming technique OOP (object oriented programming) and C++ programming language were applied to numerical simulation in mechanics of explosion. A new method for continuous boundary, vertical disturbing method, was developed. By using these methods, satisfying results were got.