中文摘要：

采用有限体积方法，在自适应非结构网格上求解二维含化学反应Euler方程，数值研究了柱面胞格爆轰波演化现象．化学反应计算采用单步可逆总包反应模型．数值结果演示了散心柱面胞格爆轰波演化过程中胞格结构的分裂现象，获得了与实验结果定性一致的结果．胞格结构的分裂演化在点火区近场和远场显示了不同的特点，其中爆轰波传播过程中波阵面当地曲率的变化是控制胞格分裂演化行为的关键因素．数值结果也显示胞格结构的分裂现象来自于爆轰波前锋结构中横波的自组织行为，即沿爆轰波波面传播的小扰动发展成为横波的过程，这种现象与胞格爆轰波的不稳定性密切相关．

英文摘要：

Cylindrical cellular detonation was numerically investigated by solving the two-dimensional reactive Euler equations with finite volume method on a two-dimensional serf-adaptive unstructured mesh. The one-step reversible chemical reaction model was used to simplify the control parameters of chemical reaction. Numerical results demonstrate the evolution of cellular cell splitting of cylindrical cellular detonation which has been explored by experimental results. The splitting of cellular strucshows different features in the near and far field from the intiation zone. The variation of the local curvature is a key factor for behaviors of cell splitting of cylindrical cellular detonation in propagation. Numerical results also show that the splitting of cellular structures is dominated by from the serforganization of transverse waves which correspond to the development of small disturbances along the detonation front related to detonation instability.