Numerical study of detonation shock dynamics using generalized finite difference method

The generalized finite difference method (GFDM) used for irregular grids is first introduced into the numerical study of the level set equation, which is coupled with the theory of detonation shock dynamics (DSD) describing the propagation of the detonation shock front. The numerical results of a rate-stick problem, a converging channel problem and an arc channel problem for specified boundaries show that GFDM is effective on solving the level set equation in the irregular geometrical domain. The arrival time and the normal velocity distribution of the detonation shock front of these problems can then be obtained conveniently with this method. The numerical results also confirm that when there is a curvature effect, the theory of DSD must be considered for the propagation of detonation shock surface, while classic Huygens construction is not suitable any more.