| 抛物化稳定性方程在可压缩边界层中应用的检验 |
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| 引用本文： | 张永明,周恒. 抛物化稳定性方程在可压缩边界层中应用的检验[J]. 应用数学和力学, 2007, 28(8): 883-893 |
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| 作者姓名： | 张永明 周恒 |
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| 作者单位： | 天津大学 力学系,天津 300072;2.南开大学 天津大学 刘徽应用数学中心,天津 300072 |
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| 基金项目： | 国家自然科学基金;南开大学校科研和教改项目 |
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| 摘 要： | 用抛物化稳定性方程（PSE），研究了可压缩边界层中扰动的演化，并与由直接数值模拟（DNS）所得进行比较．目的在检验PSE方法用于研究可压缩边界层中扰动演化的可靠性．结果显示,无论是亚音速还是超音速边界层，由PSE方法和由DNS方法所得结果都基本一致,而温度比速度吻合得更好．对超音速边界层，还计算了小扰动的中性曲线．与线性稳定性理论（LST）的结果相比，二者的关系和不可压边界层的情况相似．
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| 关 键 词： | 抛物化稳定性方程 直接数值模拟 线性稳定性理论 |
| 文章编号： | 1000-0887（2007）08-0883-11 |
| 收稿时间： | 2006-05-10 |
| 修稿时间： | 2006-05-10 |
Verification of the Parabolized Stability Equations for Its Application to Compressible Boundary Layers |
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| ZHANG Yong-ming,ZHOU Heng. Verification of the Parabolized Stability Equations for Its Application to Compressible Boundary Layers[J]. Applied Mathematics and Mechanics, 2007, 28(8): 883-893 |
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| Authors: | ZHANG Yong-ming ZHOU Heng |
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| Affiliation: | Department of Mechanics, Tianjin University, Tianjin 300072, P. R. China; |
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| Abstract: | Parabolized stability equations(PSE) were used to study the evolution of disturbances in compressible boundary layers.The results were compared with those obtained 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 method and DNS method agreed with each other reasonably well.And the agreement between temperatures is 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 is similar to those for incompressible boundary layer. |
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| Keywords: | parabolized stability equation direct numerical simulation linear stability theory |
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