入射激波强度对抛物形凹腔内激波聚焦影响的数值研究

doi:10.3969/j.issn.1000-1093.2015.04.009

兵工学报 ›› 2015, Vol. 36 ›› Issue (4): 631-636.doi: 10.3969/j.issn.1000-1093.2015.04.009

入射激波强度对抛物形凹腔内激波聚焦影响的数值研究

陈鑫^1,2，张强¹，何立明¹，王育虔¹，荣康¹

(1.空军工程大学航空航天工程学院陕西西安 710038; 2.先进航空发动机协同创新中心北京 100191)

收稿日期:2014-04-14 修回日期:2014-04-14 上线日期:2015-06-02
作者简介:陈鑫(1976—)男副教授
基金资助:
国家自然科学基金青年科学基金项目（51106178）

Numerical Research on the Effect of Incident Shock Strength on Focusing of Shock Wave in a Parabolic Cavity

CHEN Xin^1,2, ZHANG Qiang¹, HE Li-ming¹, WANG Yu-qian¹, RONG Kang¹

(1.Aeronautics and Astronautics Engineering College, Air Force Engineering University, Xi’an 710038, Shaanxi, China;2.Collaborative Innovation Center of Advanced AeroEngine,Beijing 100191, China)

Received:2014-04-14 Revised:2014-04-14 Online:2015-06-02

摘要/Abstract

摘要： 为得到入射激波强度对抛物形凹腔内激波反射聚焦过程的影响，采用结构自适应加密网格和波传播算法，计算马赫数分别为1.1、1.3、1.5、2.0、3.0和4.0的平面入射激波在二维抛物形凹腔内的反射和聚焦过程。计算结果表明：入射激波在凹腔壁面上的反射依次为直接马赫反射、反转马赫反射和过渡规则反射；三波点及马赫干在对称面上的碰撞是形成高能区域的原因；随激波强度增加，在凹腔壁面反射的激波由在聚焦前后都在对称面上反射变为只在聚焦后反射，再到最后不会反射；三波点在壁面上的反射和在对称面上的反射随入射激波马赫数增大，其距离和时间间隔缩小。

关键词: 流体力学, 结构自适应加密网格, 波传播算法, 马赫反射, 激波聚焦

Abstract: In order to obtain the influence of incident shock strength on the focusing of shock wave in a parabolic cavity, the adaptive refined mesh and wave propagation method are used to simulate the reflection and focusing of planar shock wave in a 2D parabolic cavity with incident shock Mach numbers of 1.1, 1.3, 1.5, 2.0, 3.0 and 4.0. Numerical results indicate that the reflection of incident shock from the cavity wall is direct Mach reflection, invert Mach reflection and transition regular reflection in order. High energy zone is resulted from the collision of triple points as well as Mach stems. The shock wave reflecting from the cavity wall before and after focusing only reflects from symmetry plane after focusing and finally does not reflect as the incident shock strength increases. The distance and interval between triple points reflecting from wall and symmetry plans decrease with the increase in the Mach number of incident shock wave.

Key words: fluid mechanics, structure adaptive mesh refinement, wave propagation method, mach reflection, shock wave focusing

中图分类号:

V231.2⁺2

陈鑫，张强，何立明，王育虔，荣康. 入射激波强度对抛物形凹腔内激波聚焦影响的数值研究[J]. 兵工学报, 2015, 36(4): 631-636.

CHEN Xin, ZHANG Qiang, HE Li-ming, WANG Yu-qian, RONG Kang. Numerical Research on the Effect of Incident Shock Strength on Focusing of Shock Wave in a Parabolic Cavity[J]. Acta Armamentarii, 2015, 36(4): 631-636.

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入射激波强度对抛物形凹腔内激波聚焦影响的数值研究

Numerical Research on the Effect of Incident Shock Strength on Focusing of Shock Wave in a Parabolic Cavity

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