A modified Ignition & Growth model is used to calculate the detonation propagation and corner-turning of LX-17, based on the augmented model. The calculation results showed that the edges of dead zones are significantly smoothed, which is more physically realistic, as predicted by models such as CREST and WSD. In this work, a fifth-order WENO-JS scheme and a third-order Runge-Kutta method are used for space discretization and time integration respectively. Level set method is used for interface tracking, and RGFM (Real Ghost Fluid Method) is used for interface treatment.