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超声速非平行边界层的非线性稳定性研究(英文)
引用本文:郭欣,唐登斌.超声速非平行边界层的非线性稳定性研究(英文)[J].中国航空学报,2010,23(3):283-289.
作者姓名:郭欣  唐登斌
作者单位:Department of Aerodynamics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China 
基金项目:National Natural Science Foundation of China (10772082); Doctoral Foundation of Ministry of Education of China (20070287005)
摘    要:用非线性抛物化稳定性方程(NPSE),研究超声速非平行边界层的扰动波的非线性演化过程。发展了高精度的数值方法,对NPSE进行有效求解和稳定推进。计算得到了各谐波的振幅增长曲线和不同的扰动剖面函数,特别是展示了谐波之间的非线性作用的物理特征,包括流向涡、展向涡和Λ结构的形成和演化等,以进行转捩过程的机理研究和分析。NPSE的计算结果显示了这个新方法是研究超声速边界层非线性稳定性的有效方法。

关 键 词:边界层稳定性  非线性  超声速流动  非平行性  非线性抛物化稳定性方程(NPSE)  
收稿时间:28 April 2009

Nonlinear Stability of Supersonic Nonparallel Boundary Layer Flows
Guo Xin,Tang Dengbin.Nonlinear Stability of Supersonic Nonparallel Boundary Layer Flows[J].Chinese Journal of Aeronautics,2010,23(3):283-289.
Authors:Guo Xin  Tang Dengbin
Institution:Guo Xin,Tang Dengbin Department of Aerodynamics,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China
Abstract:This article studies the nonlinear evolution of disturbance waves in supersonic nonparallel boundary layer flows by using nonlinear parabolic stability equations (NPSE). An accurate numerical method is developed to solve the equations and march the NPSE in a stable manner. Through computation,are obtained the curves of amplitude and disturbance shape function of harmonic waves. Especially are demonstrated the physical characteristics of nonlinear stability of various harmonic waves,including instantaneous s...
Keywords:boundary layer stability  nonlinearity  supersonic flow  nonparallelism  nonlinear parabolic stability equations
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