Applied Mathematics and Mechanics (English Edition) ›› 2008, Vol. 29 ›› Issue (7): 833-840 .doi: https://doi.org/10.1007/s10483-008-0701-8

• Articles •    下一篇

PSE在可压缩边界层转捩问题中的应用

张永明1,周恒2,3   

  1. 1.天津大学机械工程学院,天津 300072;
    2.天津大学力学系,天津 300072;
    3.南开大学 天津大学 刘徽应用数学中心,天津 300072
  • 收稿日期:2008-03-21 修回日期:2008-05-27 出版日期:2008-07-03 发布日期:2008-01-01
  • 通讯作者: 周恒

PSE as applied to problems of transition in compressible boundary layers

ZHANG Yong-ming1, ZHOU Heng2,3   

  1. 1. School of Mechanical Engineering, Tianjin University, Tianjin 300072, P. R. China;
    2. Department of Mechanics, Tianjin University, Tianjin 300072, P. R. China;
    3. LIU Hui Certer of Applied Mathematics of NankaiUniversity and Tianjin University,Tianjin 300072, P. R. China
  • Received:2008-03-21 Revised:2008-05-27 Online:2008-07-03 Published:2008-01-01
  • Contact: ZHOU Heng

摘要: 提出了用抛物化稳定性方程(PSE)预测层流-湍流转捩的一种新的概念。它被试用于平板可压缩边界层转捩位置的预测问题中,并将结果与直接数值模拟(DNS)所得进行比较,结果二者符合情况令人满意。二者符合的原因在于PSE方法准确地再现了层流-湍流转捩中导致breakdown过程的机理,即平均流剖面的修正导致其稳定性特性的明显改变。

关键词: 抛物化稳定性方程, 直接数值模拟, 转捩, breakdown

Abstract: A new idea of using the parabolized stability equation (PSE) method to predict laminar-turbulent transition is proposed. It is tested in the prediction of thelocation of transition for compressible boundary layers on flat plates, and the results are compared with those obtained by direct numerical simulations (DNS). The agreement is satisfactory, and the reason for this is that the PSE method faithfully reproduces the mechanism leading to the breakdown process in laminar-turbulent transition, i.e., the modification of mean flow profile leads to a remarkable change in its stability characteristics.

Key words: parabolized stability equations, direct numerical simulations, transition, breakdown

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