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边界层中TS波及其高阶谐波的演化
引用本文:郭琳琳,唐登斌,刘吉学.边界层中TS波及其高阶谐波的演化[J].南京航空航天大学学报(英文版),2006,23(1):8-14.
作者姓名:郭琳琳  唐登斌  刘吉学
作者单位:南京航空航天大学航空宇航学院,南京,210016,中国
基金项目:高等学校博士学科点专项科研项目
摘    要:基于抛物化稳定性方程,研究了边界层中TS波及其高阶谐波的线性和非线性演化问题。由局部法和Landau展开式导出初始条件,并计算了扰动幅值和速度型等的演化过程和特征,特别是非线性的重要作用。探讨了初始幅值、压力梯度、扰动频率对扰动演化的影响及其规律,这与边界层的稳定性和转捩研究紧密相关。算例结果与全Navier—Stokes方程的直接数值模拟结果一致。

关 键 词:非线性演化  TS波  高阶谐波  边界层  抛物化稳定性方程
文章编号:1005-1120(2006)01-0008-07
收稿时间:09 30 2005 12:00AM
修稿时间:2005-09-302005-12-28

EVOLUTION ANALYSIS OF TS WAVE AND HIGH-ORDER HARMONIC WAVES IN BOUNDARY LAYERS
Guo Linlin,Tang Dengbin,Liu Jixue.EVOLUTION ANALYSIS OF TS WAVE AND HIGH-ORDER HARMONIC WAVES IN BOUNDARY LAYERS[J].Transactions of Nanjing University of Aeronautics & Astronautics,2006,23(1):8-14.
Authors:Guo Linlin  Tang Dengbin  Liu Jixue
Institution:College of Aerospace Engineering, NUAA, 29 Yudao Street, Nanjing, 210016, P. R. China
Abstract:Linear and nonlinear evolutions of TS wave and high-order harmonic waves in boundary layers are studied based on the parabolic stability equation (PSE). Initial conditions are derived by the local method with the Landau expansion. The evolution process and characteristics of the disturbance amplitude and the velocity profile, etc., especially stronger nonlinear effects, are computed by an efficient numerical method. Effects and regulations of different initial amplitudes, frequencies and pressure gradients on the evolution of disturbances are explored, which are directly relative to the stability and the transition in boundary layers. Simulation results are in good agreement with the data of the accuracy direct numerical simulation (DNS) using full Navier-Stokes equations.
Keywords:nonlinear evolution  TS wave  high-order harmonic wave  boundary layer  parabolic stability equation
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