In this paper, we use Euler equations to depict condensed explosives detonation flow field, Lee-Tarver chemical reaction rate model to describe the chemical reactions in the detonation course, and JWL state equation to describe the state equations of explosives and detonation products.Steger-Warming method of vector flux splitting was used to split the vector and then high-order WENO scheme and TVD Runge-Kutta method are adopted for spatial and temporal discretization, respectively.