A simple and practical high-resolution shock-capturing numerical scheme,CTVD, is applied to numerical simulation of detonation in heterogeneous explosives,in which Lee-Tarver's ignition and growth model is employed,and JWL (Jones-Wilkins-Lee) equation of state is used to both unreacted explosives and reacted gas product. Numerical results for detonation of heterogeneous explosives PBX-9404 and TATB are shown.High resolution in detonation wave and high accuracy in smooth solution region are obtained.Especially in the complicated state equation,numerical results exhibit simplicity,efficiency, and high resolution of the CTVD scheme.