Page 128 - 《爆炸与冲击》2025年第12期

第 45 卷 第 12 期 爆 炸 与 冲 击 Vol. 45, No. 12
2025 年 12 月 EXPLOSION AND SHOCK WAVES Dec., 2025

DOI：10.11883/bzycj-2024-0465

马赫反射波系在平面重/轻界面的入射加载 *

郭景琪，鲁怡展，张恩来，邹立勇

（中国工程物理研究院流体物理研究所冲击波物理与爆轰物理全国重点实验室，四川 绵阳 621999）

摘要： 采用数值模拟与理论分析相结合的方法，研究了马赫反射波系与平面 SF 6 /N 2 界面的作用过程，特别关注其
中马赫反射波系的入射加载阶段。在入射平面激波马赫数为 1.8 的情况下，给出了绕刚体圆柱后形成马赫反射波系的
数值纹影，定性分析了马赫反射波系入射加载重/轻界面的波系演化过程。运用三激波理论对折射过程进行了分析求
解，结果表明，该理论解可以良好预测折射后的激波形态以及界面上的环量沉积和速度扰动。进一步，通过绘制激波
极曲线和稀疏波特征线，直观描述了入射加载过程中波系前后的压力变化和气流偏转。理论分析和数值模拟结果均
表明，马赫反射波系中激波强度以及入射角的差异诱导了界面上的纵向速度扰动，激波加载带来的切向速度诱导了界
面上的环量沉积，速度扰动和环量主导了重/轻界面前期的演化。
关键词： Richtmyer-Meshkov 不稳定性；马赫反射波系；重/轻界面；三激波理论
中图分类号： O354.5 国标学科代码： 13025 文献标志码： A

Incident impact of Mach reflection wave configuration
at a planar heavy/light interface

GUO Jingqi, LU Yizhan, ZHANG Enlai, ZOU Liyong

（National Key Laboratory of Shock Wave and Detonation Physics, Institute of Fluid Physics,
China Academy of Engineering Physics, Mianyang 621999, Sichuan, China）

Abstract: The evolution of a planar heavy/light gas interface (SF /N ) subjected to a perturbed shock wave produced by
6 2
diffracting a planar incident shock over a rigid cylinder is investigated by numerical and theoretical analysis, particularly
focusing on the incident impact stage of Mach reflection wave configuration. While the Mach number of incident planar shock
wave is 1.8, numerical schlieren images of the Mach reflection wave over a rigid cylinder are provided, and the wave evolution
during the incident impact on the heavy/light interface is quantitatively analyzed. Utilizing the three-shock theory, a theoretical
solution describing the refraction process is derived, which accurately predicts the post-refraction shock wave shape, as well as
the velocity perturbation and circulation deposition on the interface. Additionally, by drawing shock polar curves and
rarefaction wave characteristic lines, the pressure changes and flow deflection across the wave configuration during the
incident impact process are straightly described. Both the results of theoretical analysis and numerical simulation indicate that
the differences in shock intensity and incident angles within the Mach reflection wave configuration lead to the velocity
perturbation on the interface. And the tangential velocity caused by the shock impact results in circulation deposition on the
interface. Velocity perturbation and circulation deposition dominate the early evolution of the heavy/light interface.
Keywords: Richtmyer-Meshkov instability; Mach reflection wave configuration; heavy/light interface; three-shock theory

* 收稿日期： 2024-11-27；修回日期： 2025-09-01
基金项目： 国家自然科学基金（12472397，92052108）；
冲击波物理与爆轰物理全国重点实验室基金（2023JCJQLB05402，JCKYS2023212003）
第一作者： 郭景琪（2001－ ），男，博士研究生，guojingqi23@gscaep.ac.cn
通信作者： 邹立勇（1975－ ），男，博士，研究员，zly@caep.cn

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