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PSE在边界层中预测转捩位置的应用

 引用本文: 李佳, 罗纪生. PSE在边界层中预测转捩位置的应用[J]. 应用数学和力学, 2012, 33(6): 643-650.
LI Jia, LUO Ji-sheng. Applications of PSE to Predict the Transition Position in Boundary Layers[J]. Applied Mathematics and Mechanics, 2012, 33(6): 643-650. doi: 10.3879/j.issn.1000-0887.2012.06.001
 Citation: LI Jia, LUO Ji-sheng. Applications of PSE to Predict the Transition Position in Boundary Layers[J]. Applied Mathematics and Mechanics, 2012, 33(6): 643-650.

## PSE在边界层中预测转捩位置的应用

##### doi: 10.3879/j.issn.1000-0887.2012.06.001

###### 通讯作者: 李佳(1984—), 女, 河北人, 博士生(E-mail:lijia107@163.com);罗纪生(1954—), 男, 教授, 博士生导师(联系人. Tel: +86-22-27407025;E-mail: jsluo@tju.edu.cn).
• 中图分类号: O357.41

## Applications of PSE to Predict the Transition Position in Boundary Layers

• 摘要: 层流到湍流的转捩是自然界和各项工程实践中广泛存在的现象，层流和湍流的性质大不相同．因此，预测转捩位置是流体力学中的重要理论和实际问题．针对不可压缩边界层，入口加入展向等幅值型和展向波包型两类扰动，展向等幅值型扰动是由一个二维波(2-D)和两个三维波(3-D)组成，使用抛物化稳定性方程(PSE)的方法来研究扰动的演化和预测转捩位置，并且与数值模拟的结果相比较．结果表明，PSE可以研究扰动的演化和预测转捩位置，同时其计算比数值模拟快得多．
•  [1] Herbert T H. Boundary-layer transition-analysis and prediction revisited[C]AIAA, Aerospace Sciences Meeting, 29th. Reno, NV, 1991: 23. [2] Herbert T H. Parabolized stability equation[J]. Annual Review of Fluid Mechanics, 1997, 29(1): 245-283. [3] Bertolotti F P, Herbert T H. Analysis of linear stability of compressible boundary layers using the PSE[J]. Theoretical and Computational Fluid Dynamics, 1991, 3(2): 117-124. [4] Chang C L, Malik M R, Erlebacher G, Hussaini M Y. Compressible stability of growing boundary layer using parabolized stability equations[C]AIAA, Fluid Dynamic, Plasma Dynamics and Lasers Conference, 22nd. Honolulu, United States, 1991. [5] Bertolotti F P, Herbert T H, Spalart P R. Linear and nonlinear stability of the Blasius boundary layer[J]. Journal of Fluid Mechanics, 1992, 242(1): 441-474. [6] Joslin R D, Chang C L, Streett C L. Spatial direct numerical simulation of boundary-layer transition mechanisms: validation of PSE theory[J]. Theoretical and Computational Fluid Dynamics, 1993, 4(6): 271-288. [7] Esfanhanian V, Hejranfar K, Sabetghadam F. Linear and nonlinear PSE for stability analysis of the blasius boundary layer using compact scheme[J]. Journal of Fluids Engineering, 2001, 123(3): 545-550. [8] 张永明， 周恒. 抛物化稳定性方程在可压缩边界层中的检验[J]. 应用数学和力学, 2007, 28(8): 883-893.(ZHANG Yong-ming, ZHOU Heng. Verification of the parabolized stability equations for its application to compressible boundary layers[J]. Applied Mathematics and Mechanics(English Edition), 2007, 28(8): 987-998.) [9] Malik M R, Chuang S, Hussaini M Y. Accurate numerical solution of compressible, linear stability equation[J]. Z Angew Math Phys, 1982, 33(2): 189-201.
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##### 出版历程
• 收稿日期:  2011-07-20
• 修回日期:  2012-03-19
• 刊出日期:  2012-06-15

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