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

doi:10.11883/bzycj-2025-0465

马赫反射波系在平面重/轻界面的入射加载

doi: 10.11883/bzycj-2025-0465

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

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)

详细信息

作者简介:
郭景琪（2001－　），男，博士研究生，guojingqi23@gscaep.ac.cn

通讯作者:
邹立勇（1975－　），男，博士，研究员，zly@caep.cn

中图分类号: O354.5
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- 文章访问数: 168
- HTML全文浏览量: 21
- PDF下载量: 25
- 被引次数: 0
出版历程
- 收稿日期: 2024-11-27
- 修回日期: 2025-09-01
- 网络出版日期: 2025-09-04

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

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

摘要

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SF₆/N₂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。
- Richtmyer-Meshkov不稳定性 /
- 马赫反射波系 /
- 重/轻界面 /
- 三激波理论
Abstract: The evolution of a planar heavy/light gas interface (SF₆/N₂) subjected to a perturbed shock wave produced by 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, an analytical 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.
- Richtmyer-Meshkov instability /
- Mach reflection wave configuration /
- heavy/light interface /
- three-shock theory

HTML全文

图 1 计算域示意图

Figure 1. Schematic diagram of the computational domain

下载: 全尺寸图片幻灯片

图 2 t = 150 μs时4种网格尺寸下沿x = 40.5 mm方向的密度曲线

Figure 2. Density curves along x = 40.5 mm with the four grid sizes at t = 150 μs

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图 3 数值模拟和实验结果对比

Figure 3. Comparison of the numerical and the experimental results

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图 4 马赫反射波系入射加载平面SF₆/N₂界面过程的数值纹影图

Figure 4. Numerical schlieren visualization of Mach reflection wave configuration at a planar SF₆/N₂ gas interface

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图 5 马赫反射波系结构的定性描述

Figure 5. Qualitative description of Mach reflection wave configuration

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图 6 马赫反射波系理论模型与数值模拟结果对比

Figure 6. Comparison of Mach reflection wave configuration between analytical prediction and numerical simulation

下载: 全尺寸图片幻灯片

图 7 马赫反射波系极曲线

Figure 7. Shock-polar solution of Mach reflection wave configuration

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图 8 马赫杆MS₁在界面折射的定性描述

Figure 8. Qualitative description of the MS₁ refraction

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图 9 马赫杆MS₁折射的理论模型与数值模拟对比

Figure 9. Comparison of the MS₁ refraction between analytical prediction and numerical simulation

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图 10 MS₁折射过程极曲线

Figure 10. Shock-polar solution of the the MS₁ refraction

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图 11 MS₂折射过程示意图

Figure 11. Schematic diagram of MS₂ refraction

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图 12 马赫反射波系入射加载后的界面

Figure 12. The interface after the incident impact of Mach reflection wave configuration

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图 13 入射加载后界面环量分布

Figure 13. Circulation deposition after incident impact

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图 14 入射加载后界面扰动速度分布

Figure 14. Velocity perturbation after incident impact

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表 1 重/轻气体的初始参数

Table 1. Initial parameters of heavy and light gases

气体	密度ρ/(kg·m⁻³)	比热容比γ	声速a/(m·s⁻¹)	摩尔质量W/(g·mol⁻¹)
SF₆	6.143	1.094	133.9	146.054
N₂	1.160	1.399	348.9	28.013

下载: 导出CSV

表 2 各区域中压强的理论计算与数值模拟结果对比

Table 2. Comparison of pressure in each region between analytical prediction and numerical simulation

区域	数值模拟结果p_N/Pa	理论计算结果p_A/Pa	相对误差ϒ/%
[0]	101322	101325	−0.003
[0’]	101321	101325	−0.003
[1]	284877	276123	3.073
[2]	348396	353011	−1.325
[3]	348531	353011	−1.285
[4]	208892	199574	4.461
[5]	209139	199574	4.574
[6]	225932	231400	−2.420
[7]	226747	231400	−2.052

下载: 导出CSV

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