Referring to the data of reaction rate and JWL equation of state reported by Lee E L and Tarver C M,we computed the detonation wave structure and numerically modeled the shock initiation and detonation proceeding around the corner of cast TNT by using the 2D Lagrange FCM code.We also compared the results obtained from computation with those given by the above said authors, and found both of them well agreeable with each other.