三维超声速不等密度平面混合层的小激波形成与演变

推进技术 ›› 2016, Vol. 37 ›› Issue (7): 1208-1214.

三维超声速不等密度平面混合层的小激波形成与演变

张焕好,陈志华,姜孝海

南京理工大学瞬态物理重点实验室，江苏南京 210094,南京理工大学瞬态物理重点实验室，江苏南京 210094,南京理工大学瞬态物理重点实验室，江苏南京 210094

发布日期:2021-08-15
作者简介:张焕好，女，博士，讲师，研究领域为超声速流动。
基金资助:
国家自然科学青年基金(11502117)；中国博士后基金(2015M571757)；国家自然科学基金面上项目(11272156)。

Generation and Evolution of Shocklets in a 3D Supersonic

National Key Laboratory of Transient Physics，Nanjing University of Science & Technology，Nanjing 210094， China,National Key Laboratory of Transient Physics，Nanjing University of Science & Technology，Nanjing 210094， China and National Key Laboratory of Transient Physics，Nanjing University of Science & Technology，Nanjing 210094， China

Published:2021-08-15

摘要/Abstract

摘要： 基于大涡模拟方法与高精度混合格式，对两种密度比(1.0与0.138)条件下的高对流马赫数(Mac=1.1)三维空间发展超声速平面混合层进行了数值模拟。数值结果清晰描述了扰动激励下超声速平面混合层的演变过程，讨论了三维混合层中小激波的结构及其形成过程。分析了混合层两侧密度变化对混合层失稳及小激波形成的影响，发现当上、下层密度不等时，混合层失稳加速，小激波强度减弱，而密度较低侧的小激波会更弱。

关键词: 超声速混合层；小激波；变密度流；大涡模拟

Abstract: Based on Large-eddy simulation，combined with the high order hybrid schemes，the three-dimensional spatially-developing supersonic planar mixing layer at two density ratios s=1.0 and 0.138) were investigated numerically for Mac=1.1. The numerical results illustrate clearly the evolution of supersonic mixing layer under the effect of perturbation，and the structure characteristics and generation process of the shocklets in three-dimensional mixing layer are discussed. In addition，the effects of different density ratio of the upper and lower sides of the mixing layer on the instability of the mixing layer and the generation of the shocklets were analyzed，and found that the instability of mixing layer can be accelerated as the density of the both sides unequal，and the intensity of shocklets decreases as well. Moreover，the shocklet intensity in lower density layer is weaker.

Key words: Supersonic mixing layer；Shocklets；Variable-density flow；Large-eddy simulation

张焕好,陈志华,姜孝海. 三维超声速不等密度平面混合层的小激波形成与演变[J]. 推进技术, 2016, 37(7): 1208-1214.

ZHANG Huan-hao,CHEN Zhi-hua,JIANG Xiao-hai. Generation and Evolution of Shocklets in a 3D Supersonic[J]. Journal of Propulsion Technology, 2016, 37(7): 1208-1214.

参考文献

[1] 张焕好, 陈志华, 黄振贵, 等. 超声速平面混合层小激波的形成与演变[J]. 计算力学学报, 2012, 29(5): 772-778.
[2] Sandham N D, Reynolds W C. Three-Dimensional Simulations of Large Eddies in the Compressible Mixing Layer[J]. Journal of Fluid Mechanics, 1991, 224: 133-158.
[3] Vreman B, Kuerten H, Geurts B. Shocks in Direct Numerical Simulation of the Confined Three-Dimensional Mixing Layer[J]. Physics of Fluids, 1995, 7: 2105.
[4] Vreman B. Direct and Large-Eddy Simulation of the Compressible Turbulent Mixing Layer[D]. Enschede, Holland: University of Twente, 1995.
[5] Vreman B, Sandham N D, Luo K H. Compressible Mixing Layer Growth Rate and Turbulence Characteristics[J]. Journal of Fluid Mechanics, 1996, 320: 235.
[6] 傅德薰, 马延文. 时间发展平面混合流的三维演变[J]. 力学学报, 1998, 30(2): 130-137.
[7] Kourta A, Sauvage R. Computation of Supersonic Mixing Layer[J]. Physics of Fluid, 2002, 14(11): 3790-3797.
[8] Fu S, Li Q B. Numerical Simulation of Compressible Mixing Layer[J]. International Journal of Heat and Fluid Flow, 2006, 27: 895-901.
[9] 周强, 何枫, 沈孟育. 可压缩混合层中的涡结构和激波[J]. 空气动力学学报, 2010, 28(3): 245-249.
[10] Papamoschou D. Evidence of Shocklets in a Counterflow Supersonic Shear Layer[J]. Physics and Fluids, 1995, 7(2): 233-235.
[11] Rossmann T. An Experimental Investigation of High Compressibility Mixing Layer[R]. Stanford: Technical Report 94305-3032.
[12] Rossmann T, Mungal M G, Hanson R K. Acetone PLIF and Schlieren Imaging of High Compressibility Mixing Layers[R]. AIAA 2001-0290.
[13] 赵玉新, 易仕和, 何霖, 等. 超声速湍流混合层中小激波结构的实验研究[J]. 国防科技大学学报, 2007, 29(1): 12-15.
[14] 韩省思, 叶桃红, 朱旻明, 等. 应用修正的k-ε模型研究超声速H2/Air燃烧[J]. 推进技术, 2008, 29(2): 158-162. (HAN Xing-si, YE Tao-hong, ZHU Min-ming, et al. Numerical Simulation of Supersonic H2/Air Combustion Appling Modified k-ε Turbulence Model[J]. Journal of Propulsion Technology, 2008, 29(2): 158-162.)
[15] 张焕好, 陈志华, 黄振贵, 等. 亚声速等膨胀平面射流的初始流场结构[J]. 推进技术, 2012, 33(4): 591-596. (ZHANG Huan-hao, CHEN Zhi-hua, HUANG Zhen-gui, et al. Initial Flow Structures of an Iso-expanded Subsonic Plane Jet[J]. Journal of Propulsion Technology, 2012, 33(4): 591-596.
[16] Zhang H, Chen Z, Li B, et al. The Secondary Vortex Rings of a Supersonic Under Expanded Circular Jet with Low Pressure Ratio[J]. European Journal of Mechanics B/Fluids, 2014, 46: 172-180.
[17] Lombardini M, Hill D J, Pullin D I, et al. Atwood Ratio Dependence of Richtmyer-Meshkov Flows Under Reshock Conditions Using Large-Eddy Simulations[J]. Journal of Fluid Mechanics, 2011, 670: 439.
[18] Lundgren T S. Strained Spiral Vortex Model for Turbulent Fine Structure[J]. Physics of Fluids, 1982, 25: 2193.
[19] Hill D J, Pullin D I. Hybrid Tuned Center-Difference-WENO Method for Large Eddy Simulations in the Presence of Strong Shocks[J]. Journal of Computational Physics, 2004, 194: 435-450.
[20] Pantano C, Deiterding R, Hill D J. A Low Numerical Dissipation Patch Based Adaptive Mesh Refinement Method for Large-Eddy Simulation of Compressible Flows[J]. Journal of Computational Physics, 2007, 221: 63-87.
[21] Grasso F, Pirozzoli S. Shock-Wave-Vortex Interactions: Shock and Vortex Deformations and Sound Production[J]. Theoretical and Computational Fluid Dynamics, 2000, 13: 421-456.
[22] Mariani R. Compressible Vortex Loops in a Shock Tube with Helium Driver[R]. Manchester, England: Internal Seminar Series, The University of Manchester, 2011.
[23] Zhao W, Frankel S H, Mongeau L G. Effects of Trailing Jet Instability on Vortex Ring Formation[J]. Physics of Fluids, 2000, 12: 589-596.
[24] Gharib M, Rambod E, Shariff K. A Universal Timescale for Vortex Ring Formation[J]. Journal of Fluid Mechanics, 1998, 360: 121-140.
[25] Sandham N D, Reynolds W C. Three-Dimensional Simulations of Large Eddies in the Compressible Mixing Layer[J]. Journal of Fluid Mechanics, 1991, 224: 133-158.
[26] Li Q, Deng X B, Zhang H X. The Numerical Research on the Transition of the Three-Dimensional Supersonic Spatial Developing Mixing Layer when Mc=0.5[C]. Shanghai: Proceedings of the 5th International Conference on Fluid Mechanics, 2007.
[27] Inoue O, Takahashi T, Hatakeyama N. Separation of Reflected Shock Waves due to the Secondary Interaction with Vortices: Another Mechanism of Sound Generation[J]. Physics of Fluids, 2002, 14: 3733-3744.　　　　　　　　　　　　　*　收稿日期:2015-02-26；修订日期:2015-04-20。基金项目:国家自然科学青年基金(11502117)；中国博士后基金(2015M571757)；国家自然科学基金面上项目(11272156)。作者简介:张焕好,女,博士,讲师,研究领域为超声速流动。E-mail: zhanghuanhao9@163.com(编辑:史亚红)