Applied Mathematics and Mechanics (English Edition) ›› 2008, Vol. 29 ›› Issue (12): 1527-1534 .doi: https://doi.org/10.1007/s10483-008-1201-z

• •    下一篇

计算可压缩边界层转捩及湍流的一种新方法——PSE+DNS

董明1,2;张永明3;周恒1   

  1. 1.天津大学 力学系, 天津 300072;
    2.天津大学 机械工程学院, 天津 300072;
    3.天津市现代工程力学重点实验室,天津 30072
  • 收稿日期:2008-10-08 修回日期:2008-10-14 出版日期:2008-12-01 发布日期:2008-12-01
  • 通讯作者: 周恒

A new method for computing laminar-turbulent transition and turbulence in compressible boundary layers---PSE+DNS

DONG Ming1,2; ZHANG Yong-ming3 and ZHOU Heng1   

  1. 1. Department of Mechanics, Tianjin University, Tianjin 300072, P. R. China; 2. Tianjin Key Laboratory of Modern Engineering Machanics, Tianjin 300072, P. R. China; 3. School of Mechanical Engineering, Tianjin University, Tianjin 300072, P. R. China
  • Received:2008-10-08 Revised:2008-10-14 Online:2008-12-01 Published:2008-12-01
  • Contact: ZHOU Heng

摘要: 提出了一种计算可压缩边界层转捩及湍流的新方法,它尤其适用于从小扰动开始的转捩及湍流计算.在层流阶段,直至转捩中的breakdown开始前,用抛物化稳定性方程(PSE)计算.然后用直接数值模拟(DNS)计算转捩过程和湍流,其入口条件是用PSE方法在该处得到的扰动.在两个测试算例中,包括亚音速和超音速边界层,此法得到的转捩位置和湍流都与只用DNS计算整个过程所得的一致.使用该方法的优点在于计算量比只用DNS方法小得多.

关键词: 直接数值模拟, 抛物化稳定性方程, 湍流, 转捩

Abstract: A new method for computing laminar-turbulent transition and turbulence in compressible boundary layers is proposed. It is especially useful for computation of laminar-turbulent transition and turbulence starting from small-amplitude disturbances. The laminar stage, up to the beginning of the breakdown in laminar-turbulent transition, is computed by parabolized stability equations (PSE). The direct numerical simulation (DNS) method is used to compute the transition process and turbulent flow, for which the inflow condition is provided by using the disturbances obtained by PSE method up to that stage. In the two test cases including a subsonic and a supersonic boundary layer, the transition locations and the turbulent flow obtained with this method agree well with those obtained by using only DNS method for the whole process. The computational cost of the proposed method is much less than using only DNS method.

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

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