反射激波冲击重气柱的RM不稳定性数值研究

王显圣; 司廷; 罗喜胜; 杨基明

doi:10.6052/0459-1879-11-245

反射激波冲击重气柱的RM不稳定性数值研究

中国科学技术大学近代力学系, 合肥 230027

基金项目: 国家自然科学基金(10972214)和中央高校基本科研业务费专项资金(WK2090050014)资助项目.

详细信息

中图分类号: O354.5
计量
- 文章访问数: 2731
- HTML全文浏览量: 139
- PDF下载量: 1545
出版历程
- 收稿日期: 2011-08-31
- 修回日期: 2011-11-16
- 刊出日期: 2012-07-17

NUMERICAL STUDY ON THE RM INSTABILITY OF A HEAVY-GAS CYLINDER INTERACTED WITH RESHOCK

Department of Modern Mechanics, University of Science and Technology of China, Hefei 230027, China

Funds: The project was supported by the National Natural Science Foundation of China (10972214) and the Fundamental Research Funds for the Central Universities (WK2090050014).

摘要

摘要: 数值研究了二维气柱在入射激波以及反射激波作用下的Richtmyer-Meshkov(RM)不稳定性发展规律, 采用有限体积法结合网格自适应技术的VAS2D程序, 精确刻画激波和界面的演化. 入射平面激波的马赫数为1.2, 气柱界面内气体为六氟化硫(SF₆), 环境气体为空气, 激波管的尾端为固壁. 通过改变气柱与尾端之间的距离调节反射激波再次作用已经变形的气柱的时间, 获得不同时刻下已经变形的气柱形态、界面尺寸以及环量演化受到反射激波的影响. 结果表明, 反射激波再次作用气柱时, 气柱所处发展阶段不同, 界面演化规律以及环量随时间的变化也不相同, 反射激波与气柱相互作用过程中的涡量产生和分布与无反射情况差异较大, 揭示了不同情况下界面演化的物理机理.
- Richtmyer-Meshkov不稳定性 /
- 气柱 /
- 反射激波 /
- 环量
Abstract: The evolution of the Richtmyer-Meshkov (RM) instability of a two-dimensional gas cylinder interacted with incident planar shock and reshock is investigated numerically. The procedure VAS2D based on the finite volume method combined with an adaptive mesh refinement is used to effectively capture the wave propagation and interface deformation. The incident planar shock Mach number is 1.2, and the gas cylinder is filled with sulfur hexafluoride (SF₆) surrounded by air, and the shock tube end wall is regarded as a solid wall. In the simulations, the distances from the gas cylinder to the end wall are changed to obtain the influence of the reshock on the gas cylinder shape, the interface scale and circulation variation trend of the evolving interface. It is found that the evolution of the reshock inhomogeneity and the variation of the circulation with time are dependent on the development of the distorted gas cylinder when the reshock arrives. The generation and distribution of the vorticity during the interaction of the reshock with the evolving gas cylinder are different from the case without reshock, which indicates the physical mechanism of the interface evolution under different conditions.
- Richtmyer-Meshkov instability /
- gas cylinder /
- reshock /
- circulation

HTML全文

参考文献(21)

Richtmyer RD. Taylor instability in shock acceleration of compressible fluids. Commun Pure Appl Math, 1960, 13: 297-319

Meshkov EE. Instability of the interface of two gases accelerated by a shock wave. Fluid Dyn, 1969, 4: 151-157

Lindl JD, McCrory RL, Campbell EM. Progress toward ignition and burn propagation in inertial confinement fusion. Phys Today, 1992, 45(9): 32-50

Ranjan D, Oakley J, Bonazza R. Shock-bubble interactions. Annu Rev Fluid Mech, 2011, 43: 117-140

Bai JS, Zou LY, Wang T, et al. Experimental and numerical study of shock-accelerated elliptic heavy gas cylinders. Phys Rev E, 2010, 82: 056318

Zhai ZG, Si T, Luo XS, et al. On the evolution of spherical gas interface accelerated by a planar shock wave. Phys Fluids, 2011, 23: 084104

Quirk JJ, Karni S. On the dynamics of a shock-bubble interaction. J Fluid Mech, 1996, 318: 129-163

Niederhaus JHJ, Greenough JA, Oakley JG, et al. A computational parameter study for the three-dimensional shock-bubble interaction. J Fluid Mech, 2008, 594: 85-124

Haas JF, Sturtevant B. Interaction of weak shock waves with cylindrical and spherical gas inhomogeneities. J Fluid Mech, 1987, 181: 41-76

Rudinger G, Somers LM. Behaviour of small regions of different gases carried in acceleratied gas flows. J Fluid Mech, 1960, 7: 161-176

Tomkins CD, Kumar S, Orlicz GC, et al. An experimental investigation of mixing mechanisms in shock-accelerated flow. J Fluid Mech, 2008, 611: 131-150

Shankar SK, Kawai S, Lele SK. Two-dimensional viscous flow simulation of a shock accelerated heavy gas cylinder. Phys Fluids, 2011, 23: 024102

Hill DJ, Pantano C, Pullin DI. Large-eddy simulation and multiscale modeling of a Richtmyer-Meshkov instability with reshock. J Fluid Mech, 2006, 557: 29-61

Latini M, Schilling O, Don WS. Effects of WENO flux reconstruction order and spatial resolution on reshocked two-dimensional Richtmyer-Meshkov instability. J Comput Phys, 2007, 221: 805-836

Schilling O and Latini M. High-order WENO simulations of three-dimensional reshocked Richtmyer-Meshkov instability to late times: dynamics, dependence on initial conditions, and comparisons to experimental data. Acta Math Sci, 2010, 30: 595-620

Haehn N, Weber C, Oakley J, et al. Experimental investigation of a twice-shocked spherical gas inhomogeneity with particle image velocimetry. Shock Waves, 2011, 21: 225-231

Sun M. Numerical and experimental studies of shock wave interaction with bodies. [PhD Thesis]. Sendai, Japan: Tohoku University, 1998

范美如, 翟志刚, 司廷等. 激波与不同形状界面作用的数值模拟. 中国科学: 物理学力学天文学, 2011, 41: 862-869 (Fan Meiru, Zhai Zhigang, Si Ting, et al. Numerical simulations of interface with difference shape accelerated by a planar shock. Sci Sin Phys Mech Astron, 2011, 41: 862-869 (in Chinese)

Zoldi CA. A numerical and experimental study of a shock-accelerated heavy gas cylinder. [PhD Thesis]. Stony Brook: State Universtiy of New York at Stony Brook, 2002

Jacobs JW. The dynamics of shock accelerated light and heavy gas cylinders. Phys Fluids, 1993, 5(9): 2239-2247

Bagabir A, Drikakis D. Mach number effects on shock-bubble interaction. Shock Waves, 2001, 11: 209-218

施引文献

资源附件(0)

计量

文章访问数: 2731
HTML全文浏览量: 139
PDF下载量: 1545
被引次数: 0

反射激波冲击重气柱的RM不稳定性数值研究

计量

NUMERICAL STUDY ON THE RM INSTABILITY OF A HEAVY-GAS CYLINDER INTERACTED WITH RESHOCK

计量

目录

下载中心

作者中心

反射激波冲击重气柱的RM不稳定性数值研究

计量

出版历程

NUMERICAL STUDY ON THE RM INSTABILITY OF A HEAVY-GAS CYLINDER INTERACTED WITH RESHOCK

计量

出版历程

目录

下载中心

作者中心