激波/湍流边界层干扰压力脉动特性数值研究  

STATISTICAL CHARACTERISTICS OF PRESSURE FLUCTUATION IN SHOCK WAVE AND TURBULENT BOUNDARY LAYER INTERACTION

作　　者：童福林[1,2,3] 段俊亦 周桂宇 李新亮[2,4] Tong Fulin;Duan Junyi;Zhou Guiyu;Li Xinliang(State Key Laboratory of Aerodynamics,China Aerodynamics Research&Development Center,Mianyang 621000,Sichuan,China;State Key Laboratory of High Temperature Gas Dynamics,Institute of Mechanics,Chinese Academy of Sciences,Beijing 100190,China;Computational Aerodynamics Institute of China Aerodynamics Research and Development Center,Mianyang 621000,Sichuan,China;School of Engineering Science,University of Chinese Academy of Sciences,Beijing 100049,China)

机构地区：[1]中国空气动力研究与发展中心空气动力学国家重点实验室,四川绵阳621000 [2]中国科学院力学研究所高温气体动力学国家重点实验室,北京100190 [3]中国空气动力研究与发展中心计算空气动力研究所,四川绵阳621000 [4]中国科学院大学工程科学学院,北京100049

出　　处：《力学学报》2021年第7期1829-1841,共13页Chinese Journal of Theoretical and Applied Mechanics

基　　金：国家自然科学基金(11972356,91852203);国家重点研发计划(2019YFA0405300)资助项目。

摘　　要：激波/湍流边界层干扰问题广泛存在于高速飞行器内外流动中,激波干扰会导致局部流场出现强压力脉动,严重影响飞行器气动性能和飞行安全.为了考察干扰区内脉动压力的统计特性,对来流马赫数2.25,激波角33.2°的入射激波与平板湍流边界层相互作用问题进行了直接数值模拟研究.在对计算结果进行细致验证的基础上,分析比较了干扰区外层和物面脉动压力的典型统计特征,如脉动强度、功率谱密度、两点相关和时空关联特性等,着重探讨了两者的差异及其原因.研究发现,激波干扰对外层和物面压力脉动的影响差异显著.分离区内脉动以低频特征为主,随后再附区外层压力脉动的峰值频率往高频区偏移,而物面压力脉动的低频能量仍相对较高.两点相关结果表明,外层和物面脉动压力的展向关联性均明显强于其流向,前者积分尺度过激波急剧增长随后缓慢衰减,而后者积分尺度整体上呈现逐步增大趋势.此外,时空关联分析结果指出,脉动压力关联系数等值线仍符合经典的椭圆形分布,干扰区下游压力脉动对流速度将减小,外层对流速度仍明显高于物面.Shock wave and turbulent boundary layer interaction widely exists in the internal and external flow of highspeed aircraft.The aerodynamic performance and flight safety of aircraft are seriously affected by the strong pressure fluctuation in the interaction region.To investigate statistical characteristics of fluctuating pressure,the interaction between an incident shock of 33.2°and a spatially developed Mach 2.25 turbulent boundary layer is analyzed by means of direct numerical simulation(DNS).The numerical results have been carefully validated against with previous experiment and DNS at similar flow conditions in terms of mean velocity profile,turbulence intensity and wall pressure distribution.Statistics at the wall and in the outer layer,including fluctuation intensity,power spectral density,two-point correlation and space-time correlation,are quantitatively compared.The differences between them are analyzed in detail.It is found that the effect of the shock interaction on the wall-pressure fluctuation and the fluctuating pressure in the outer layer are utterly different.Based on the analysis of the power spectra density,the fluctuations in the separated region are both characterized by the low-frequency content,but in the reattachment region,the peak frequency of outer pressure fluctuations quickly shifts to higher frequency,with the low-frequency energy of wall-pressure fluctuation still being predominant.It is identified that the two-point correlations of pressure fluctuation at the wall and in the outer layer are both more elongated in the spanwise direction than that in the streamwise direction.The integral scale at the wall is generally increased,while the one in the outer layer increases sharply after passing the shock and then gradually decreases.The analysis of space-time correlation indicates that the iso-correlation contours are similar to the elliptical distribution and the convection velocity deduced by the correlation is dramatically decreased.Downstream of the interaction,the convection velocit

关 键 词：激波/湍流边界层干扰 压力脉动 功率谱密度 两点相关 时空关联 

分 类 号：V211.3[航空宇航科学与技术—航空宇航推进理论与工程] O241.3[理学—计算数学]