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局部散射理论在高超声速边界层转捩预测中应用的检验

李斯特 董明

李斯特, 董明. 局部散射理论在高超声速边界层转捩预测中应用的检验. 力学进展, 2021, 51(2): 364-375 doi: 10.6052/1000-0992-21-016
引用本文: 李斯特, 董明. 局部散射理论在高超声速边界层转捩预测中应用的检验. 力学进展, 2021, 51(2): 364-375 doi: 10.6052/1000-0992-21-016
Li S T, Dong M. Verification of local scattering theory as is applied to transition prediction in hypersonic boundary layers. Advances in Mechanics, 2021, 51(2): 364-375 doi: 10.6052/1000-0992-21-016
Citation: Li S T, Dong M. Verification of local scattering theory as is applied to transition prediction in hypersonic boundary layers. Advances in Mechanics, 2021, 51(2): 364-375 doi: 10.6052/1000-0992-21-016

局部散射理论在高超声速边界层转捩预测中应用的检验——

doi: 10.6052/1000-0992-21-016
基金项目: 本文受到国家自然科学基金的资助 (U20B2003, 11772224)
详细信息
    作者简介:

    董明, 中国科学院力学研究所研究员、博士生导师. 《气体物理》、《力学学报》、《力学进展》杂志青年编委. 主要研究领域为流动稳定性、边界层转捩、奇异摄动法等. 曾受欧盟玛丽居里学者、国家自然科学基金重点项目等资助

    通讯作者:

    dongming@imech.ac.cn

  • 中图分类号: V211.3

Verification of local scattering theory as is applied to transition prediction in hypersonic boundary layers

More Information
  • 摘要: eN方法是物理意义明确的转捩预测方法之一, 但它无法考虑边界层中的局部突变(如粗糙元、缝隙、台阶等)对转捩的影响. 而后者在飞行器表面经常出现. 近期发展的局部散射理论框架提供了该问题的有效解决途径. 该理论框架从转捩的物理机理出发, 定量刻画局部感受性和线性模态的局部散射两个机制, 并用参数化的感受性系数和透射系数修正转捩判据. 为了验证该理论框架的有效性, 设计了一套高超声速边界层的直接数值模拟方案: 分别在光滑壁与粗糙壁两种工况下引入相同的初始失稳模态, 计算它们触发转捩的过程, 并定量考察粗糙元对转捩的影响. 数值模拟结果与描述线性模态局部散射机制的理论预测吻合很好.

     

  • 图  1  物理模型示意图

    图  2  粗糙元附近的网格分布和贴体坐标系示意图

    图  3  计算域入口增长率随频率的分布

    图  4  基本流压力等值线图

    图  5  突变附近基本流压力等值线图与流线

    图  6  傅里叶分量的幅值与LST (linear stability theory)预测结果的对比

    图  7  各扰动温度幅值沿流向变化

    图  8  归一化透射系数

    图  9  壁面摩阻系数沿流向的变化

    A-1  不同网格数下的壁面摩阻系数对比

    A-2  扰动温度流向演化与Zhao 等 (2019)对比

    表  1  模态扰动参数

    $ i $ $\omega_i$ $\beta_i$ $A_0$
    1 0.6 0.7972 0.001
    2 1 0 0.001
    3 1.6 0 0.0005
    4 1.8 0 0.0005
    5 2.2 0 0.0005
    下载: 导出CSV
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出版历程
  • 收稿日期:  2021-04-09
  • 录用日期:  2021-06-02
  • 网络出版日期:  2021-06-07
  • 刊出日期:  2021-06-25

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