不稳定性对爆轰波楔面马赫反射的影响规律研究

发布时间：2018-01-03 13:27

本文关键词：不稳定性对爆轰波楔面马赫反射的影响规律研究　出处：《计算力学学报》2016年04期 　论文类型：期刊论文

【摘要】：采用一种两步化学反应模型对胞格爆轰波的楔面马赫反射过程进行了数值研究,从而澄清和解释胞格不稳定性对马赫反射发展模式和自相似性的影响。考虑到反应欧拉方程源项的刚性问题,本文采用附加RungeKutta方法耦合非刚性对流项和刚性反应源项,对流项的离散采用五阶精度的WENO格式。计算结果表明,对于稳定胞格爆轰波而言,其马赫反射过程本质上与ZND爆轰波的马赫反射是一致的,整体上不存在自相似性,胞格不稳定性只是造成了三波点轨迹线局部小振幅的波动。在楔面顶点附近,由于马赫杆是强过驱的,爆轰波的马赫反射过程是自相似的。在远场,爆轰波马赫反射的三波点轨迹线渐近的趋向于一条直线,说明重新获得了自相似性。对于不稳定的爆轰波,由于自身的不稳定性可以与马赫反射的强度相匹配,定义其三波点的轨迹是困难的,进行自相似性分析没有意义。
[Abstract]:Using a two step chemical reaction model of detonation wave reflection Maher wedge process presents a numerical study of cellular detonation, so as to clarify and explain the cellular instability of the Maher reflex development model and self similarity effect. Considering the rigidity problem of reactive Euler equations with source terms, this paper uses additional RungeKutta method for non rigid coupling the convection and rigid reaction source term, discretization of the convective term by five order WENO scheme. The calculation results show that the stability of cellular detonation wave, the Maher reflection is essentially ZND detonation wave of the Maher reflection is consistent on the whole, there is no self similarity, not only the stability of the cell by three wave point trajectory of local small amplitude fluctuations. In the vicinity of the wedge vertex, because Maher is stronger than the drive rod, the detonation wave of the Maher reflection process is self similar. In the far field, the three wave of explosive detonation wave reflection Maher point The asymptotic trajectory tends to a line that has obtained the self similarity. For the unstable detonation wave, due to its instability and Maher can match the intensity of reflection wave, the definition of third point trajectory is difficult, self similarity analysis has no meaning.

【作者单位】：北京理工大学爆炸科学与技术国家重点实验室;
【基金】：国家自然科学基金(11390363;11325209) 北京理工大学青年教师学术启动计划资助项目
【分类号】：O382
【正文快照】： 1引言与激波类似,爆轰波的马赫反射包括入射波、反射波和马赫杆。不同的是,在激波的马赫反射中,入射波、反射波和马赫杆均为无反应激波;而在爆轰波的马赫反射中,入射波和马赫杆为爆轰波(反应激波),反射波则为无反应激波。由于激波的厚度只有几个分子自由程,通常可以忽略不计,

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