Applied Mathematics and Mechanics (English Edition) ›› 2008, Vol. 29 ›› Issue (11): 1487-1494 .doi: https://doi.org/10.1007/s10483-008-1109-y

• Articles • 上一篇    下一篇

散心柱面胞格爆轰演化数值研究

王春1;胡宗民1,2;韩桂来1   

  1. 1. 中国科学院力学研究所,北京,100190,中国;
    2. 庆尚国立大学航空机部品研究中心,晋州 660-701,韩国
  • 收稿日期:2008-04-11 修回日期:2008-09-22 出版日期:2008-11-01 发布日期:2008-11-01
  • 通讯作者: 王春

Numerical investigation on evolution of cylindrical cellular detonation

WANG Chun1;HU Zong-min1,2;HAN Gui-lai1   

  1. 1. Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, P. R. China; 2. ReCAPT, Gyeongsang National University, Jinju, Kyeongnam 660-701, South Korea
  • Received:2008-04-11 Revised:2008-09-22 Online:2008-11-01 Published:2008-11-01
  • Contact: WANG Chun

摘要: 本文采用有限体积方法,在自适应非结构网格上求解二维含化学反应欧拉方程,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,可简化化学反应的控制参数。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。

关键词: 胞格不稳定性, 化学反应, 激波, 数值模拟, 爆轰

Abstract: Cylindrical cellular detonation is numerically investigated by solving two-dimensional reactive Euler equations with a finite volume method on a two-dimensional self-adaptive unstructured mesh. The one-step reversible chemical reaction model is applied to simplify the control parameters of chemical reaction. Numerical results demonstrate the evolution of cellular cell splitting of cylindrical cellular detonation explored in experimentas. Split of cellular structures shows different features in the near-field and far-field from the initiation zone. Variation of the local curvature is a key factor in the behavior of cell split of cylindrical cellular detonation in propagation. Numerical results show that split of cellular structures comes from the self-organization of transverse waves corresponding to the development of small disturbances along the detonation front related to detonation instability.

Key words: shock, numerical simulation, detonation, cellular instability, chemical
reaction

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