适用于可压缩流动的γ-Reθt-fRe转捩模型

doi:10.7527/S1000-6893.21.25794

流体力学与飞行力学

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适用于可压缩流动的γ-Re_θt-f_Re转捩模型

刘清扬¹, 雷娟棉¹, 刘周², 石磊², 周伟江²

1. 北京理工大学宇航学院, 北京 100081;
2. 中国航天空气动力技术研究院, 北京 100074

收稿日期:2021-05-13 修回日期:2021-07-22 出版日期:2022-08-15 发布日期:2022-09-05
通讯作者: 刘周,E-mail:zhou_liu@foxmail.com E-mail:zhou_liu@foxmail.com
基金资助:
国家数值风洞工程;国家自然科学基金(11772317)

γ-Re_θt-f_Re transition model for compressible flow

LIU Qingyang¹, LEI Juanmian¹, LIU Zhou², SHI Lei², ZHOU Weijiang²

1. School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China;
2. China Academy of Aerospace Aerodynamics, Beijing 100074, China

Received:2021-05-13 Revised:2021-07-22 Online:2022-08-15 Published:2022-09-05
Supported by:
National Numerical Windtunnel Project;National Natural Science Foundation of China (11772317)

摘要/Abstract

摘要： 基于γ-Re_θt转捩模型的框架,发展了考虑流动可压缩性的γ-Re_θt-f_Re转捩模型。针对已有的转捩准则引入可压缩性修正,并利用基于参考温度法获得的雷诺数可压缩性比拟关系f_Re修正现有基于不可压缩流动的转捩关联函数。为实现模型的局部性,构建了额外的雷诺数可压缩性比拟关系f_Re输运方程。利用所发展的γ-Re_θt-f_Re转捩模型对不同流动条件的转捩算例进行考核并和基本γ-Re_θt转捩模型进行对比,结果显示,γ-Re_θt-f_Re转捩模型实现了从低速至高速的无缝统一模拟能力。在低速流动条件下,γ-Re_θt-f_Re转捩模型自动恢复为基本γ-Re_θt转捩模型;在超声速和高超声速流动条件下,γ-Re_θt-f_Re转捩模型显著改善了流动转捩的起始位置和转捩区发展的预测。

关键词: 流动转捩, 高超声速, γ-Re_θt转捩模型, 参考温度法, 可压缩性修正

Abstract: A transition model, γ-Re_{θ t}-f_Re, considering flow compressibility is developed from the original γ-Re_{θ t}transition model framework. The compressibility correction is introduced for the existing transition criteria, and the original transition correlation function based on incompressible flow is modified using the Reynolds number compressibility analogy relation obtained by the reference temperature method. To achieve model localization, an additional Reynolds number compressibility analogy relation f_Re transport equation is constructed. The developed γ-Re_{θ t}-f_Re transition model is used to examine the transition cases under different flow conditions and compared with the basic γ-Re_{θ t} transition model. The numerical simulation results show that the γ-Re_{θ t}-f_Re transition model achieves seamless unified simulation capability from low speed to high speed. It is automatically restored to the basic γ-Re_{θ t} transition model under low speed flow conditions, while significantly improves the prediction of the flow transition trigger position and transition zone development under supersonic and hypersonic flow conditions.

Key words: flow transition, hypersonic, γ-Re_{θ t} transition model, reference temperature method, compressibility correction

中图分类号:

V211.3

刘清扬, 雷娟棉, 刘周, 石磊, 周伟江. 适用于可压缩流动的γ-Re_θt-f_Re转捩模型[J]. 航空学报, 2022, 43(8): 125794-125794.

LIU Qingyang, LEI Juanmian, LIU Zhou, SHI Lei, ZHOU Weijiang. γ-Re_θt-f_Re transition model for compressible flow[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2022, 43(8): 125794-125794.

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E-mail：hkxb@buaa.edu.cn

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适用于可压缩流动的γ-Re_θt-f_Re转捩模型

γ-Re_θt-f_Re transition model for compressible flow

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适用于可压缩流动的γ-Reθt-fRe转捩模型

γ-Reθt-fRe transition model for compressible flow

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适用于可压缩流动的γ-Re_θt-f_Re转捩模型

γ-Re_θt-f_Re transition model for compressible flow