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Applied Mathematics and Mechanics (English Edition) ›› 2004, Vol. 25 ›› Issue (1): 1-9.

• 论文 •    下一篇

EVOLUTION OF A 2-D DISTURBANCE IN A SUPERSONIC BOUNDARY LAYER AND THE GENERATION OF SHOCKLETS

黄章峰1, 周恒1,2   

  1. 1. Department of Mechanics, Tianjin University, Tianjing 300072, P. R. China;
    2. Liu Hui Center of Applied Mathematics, Nankai & Tianjin University, Tianjin 300072, P. R. China
  • 收稿日期:2002-08-20 修回日期:2003-07-20 出版日期:2004-01-18 发布日期:2004-01-18
  • 通讯作者: ZHOU Heng(1929～ )(corresponding author)Professor, Academician of Chinese Academy of Science(Tel: 86-022-27890533; Fax: 86-022-27405200; E-mail: hzhoul@tju.edu.cn) E-mail:hzhoul@tju.edu.cn
  • 基金资助:

    the National Natural Science Foundation of China(90205021);the Foundation of Liu Hui Center for Applied Mathematics, Nankai & Tianjin University

EVOLUTION OF A 2-D DISTURBANCE IN A SUPERSONIC BOUNDARY LAYER AND THE GENERATION OF SHOCKLETS

HUANG Zhang-feng1, ZHOU Heng1,2   

  1. 1. Department of Mechanics, Tianjin University, Tianjing 300072, P. R. China;
    2. Liu Hui Center of Applied Mathematics, Nankai & Tianjin University, Tianjin 300072, P. R. China
  • Received:2002-08-20 Revised:2003-07-20 Online:2004-01-18 Published:2004-01-18
  • Supported by:

    the National Natural Science Foundation of China(90205021);the Foundation of Liu Hui Center for Applied Mathematics, Nankai & Tianjin University

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摘要： Through direct numerical simulation,the evolution of a 2-D disturbance in a supersonic boundary layer has been investigated.At a chosen location,a small amplitude T-S wave was fed into the boundary layer to investigate its evolution. Characteristics of non-linear evolution have been found. Two methods were applied for the detection of shocklets,and it was found that when the amplitude of the disturbance reached a certain value, shocklets would be generated, which should be taken into consideration when nonlinear theory of hydrodynamic stability for compressible flows is to be established.

Abstract: Through direct numerical simulation,the evolution of a 2-D disturbance in a supersonic boundary layer has been investigated.At a chosen location,a small amplitude T-S wave was fed into the boundary layer to investigate its evolution. Characteristics of non-linear evolution have been found. Two methods were applied for the detection of shocklets,and it was found that when the amplitude of the disturbance reached a certain value, shocklets would be generated, which should be taken into consideration when nonlinear theory of hydrodynamic stability for compressible flows is to be established.

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