| Verification of parabolized stability equations for its application to compressible boundary layers |
| |
| 作者姓名： | 张永明 周恒 |
| |
| 作者单位： | Department of Mechanics Tianjin University Tianjin 300072，P.R.China，Liuhui Center of Applied Mathematics Nankai University and Tianjin University，Tianjin 300072，P.R.China |
| |
| 摘 要： | Parabolized stability equations (PSE) were used to study the evolution of disturbances in compressible boundary layers.The results were compared with those ob- tained by direct numerical simulations (DNS),to check if the results from PSE method were reliable or not.The results of comparison showed that no matter for subsonic or supersonic boundary layers,results from both the PSE and DNS method agreed with each other reasonably well,and the agreement between temperatures was better than those between velocities.In addition,linear PSE was used to calculate the neutral curve for small amplitude disturbances in a supersonic boundary layer.Compared with those obtained by linear stability theory (LST),the situation was similar to those for incom- pressible boundary layer.
|
| 关 键 词： | 可压缩边界层 数值模拟 线性稳定理论 抛物线型稳态方程 |
| 收稿时间： | 10 May 2007 |
| 修稿时间： | 2007-05-102007-06-21 |
Verification of parabolized stability equations for its application to compressible boundary layers |
| |
| Yong-ming Zhang,Heng Zhou.Verification of parabolized stability equations for its application to compressible boundary layers[J].Applied Mathematics and Mechanics(English Edition),2007,28(8):987-998. |
| |
| Authors: | Yong-ming Zhang Heng Zhou |
| |
| Institution: | 1. Department of Mechanics, Tianjin University, Tianjin 300072, P. R. China
2. Department of Mechanics, Tianjin University, Tianjin 300072, P. R. China;Liuhui Center of Applied Mathematics, Nankai University and Tianjin University, Tianjin 300072, P. R. China |
| |
| Abstract: | Parabolized stability equations (PSE) were used to study the evolution of disturbances in compressible boundary layers.The results were compared with those ob- tained by direct numerical simulations (DNS),to check if the results from PSE method were reliable or not.The results of comparison showed that no matter for subsonic or supersonic boundary layers,results from both the PSE and DNS method agreed with each other reasonably well,and the agreement between temperatures was better than those between velocities.In addition,linear PSE was used to calculate the neutral curve for small amplitude disturbances in a supersonic boundary layer.Compared with those obtained by linear stability theory (LST),the situation was similar to those for incom- pressible boundary layer. |
| |
| Keywords: | direct numerical simulations linear stability theory parabolized stability equations |
| 本文献已被 CNKI 维普 万方数据 SpringerLink 等数据库收录！ |
| 点击此处可从《应用数学和力学(英文版)》浏览原始摘要信息 |
| 点击此处可从《应用数学和力学(英文版)》下载免费的PDF全文 |
