Abstract: In this paper, the chemically reacting flow-field ofdetonation reflection over wedges was simulated numerically. Thedispersion-controlled dissipative scheme (DCD) was adopted to solvetwo-dimensional Euler equations implemented with detailed chemical reactionkinetics of hydrogen-oxygen-argon mixture. The fractional step method wasapplied to treat the stiff problem arising from computation of chemicalreaction flow. The wedge angle, initial pressure and composition of themixture were taken into consideration respectively to evaluate their effecton the angle \chi of triple-point trajectory of detonation reflectionover wedges. From the numerical results it is observed that the criticalwedge angle \alpha_\rm crit for the transition from Mach reflection toregular reflection of detonation wave is close to the experimental data orCCW theoretical result. The numerical results also show that the angle\chi of triple-point trajectory is mainly depend on wedge angle\alpha and is not sensitive to variation of the initial pressure P_0.