Two-dimensional numerical simulations are conducted based on the Eulerian-Lagrangian method to model a gaseous detonation laden with monodispersed water droplets. The premixed mixture is a slightly diluted stoichiometric hydrogen oxygen mixture at low pressure. The outcome of the interactions of the droplet breakup with the cellular instabilities and the non-uniform flow behind the leading front is analyzed. The simulation results are also analyzed using instantaneous flow fields and Favre average profiles for water droplets. Breakup occurs mainly near the detonation front. The mean final diameter of the water droplets at the end of the breakup process is the same regardless of the initial strength of the leading shock or whether it is lower or greater than the Chapman-Jouguet value. The polydispersity comes from local phenomena behind the leading shock, such as forward jets coming from triple point collisions, transverse waves and a combination of both. The total breakup time is longer than that estimated from post-shock conditions and the present finding is in line with the previous experimental results on spray detonation.

基于欧拉-拉格朗日方法进行了二维数值模拟，以模拟具有单分散水滴的气态爆轰。预混合的混合物是在低压下稍微稀释的化学计量的氢氧混合物。分析了液滴破裂与细胞不稳定性和前导前沿后面的非均匀流动相互作用的结果。还使用瞬时流场和水滴的Favre平均曲线对仿真结果进行了分析。破裂主要发生在爆炸前沿附近。破裂过程结束时，水滴的平均最终直径是相同的，而不管引导震动的初始强度是高还是小于或大于Chapman-Jouguet值。多分散性来自于领先震动背后的局部现象，例如来自三点碰撞，横波以及两者结合的前向喷流。总的破裂时间比震后条件估计的要长，目前的发现与先前关于喷雾爆震的实验结果相符。