适用于可压缩流动的γ-Reθt-fRe转捩模型

doi:10.7527/S1000-6893.2021.25794

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适用于可压缩流动的γ-Reθt-fRe转捩模型

刘清扬¹,雷娟棉²,刘周³,石磊³,周伟江³

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

收稿日期:2021-05-13 修回日期:2021-07-15 出版日期:2021-07-20 发布日期:2021-07-20
通讯作者: 刘周
基金资助:
国家数值风洞工程;国家自然科学基金

γ-Reθt-fRe Transition model for compressible flow

Qingyang Liu¹, ¹,Zhou LIULei Shi ¹

Received:2021-05-13 Revised:2021-07-15 Online:2021-07-20 Published:2021-07-20
Contact: Zhou LIU

摘要/Abstract

摘要： 基于γ-Reθt转捩模型的框架，发展了考虑流动可压缩性的γ-Reθt-fRe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fRe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fRe输运方程。利用所发展的γ-Reθt-fRe转捩模型对不同流动条件的转捩算例进行了考核并和基本γ-Reθt转捩模型进行了对比，结果显示，γ-Reθt-fRe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-Reθt-fRe转捩模型自动恢复为基本γ-Reθt转捩模型；在超声速和高超声速流动条件下，γ-Reθt-fRe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-Reθt转捩模型, 参考温度法, 可压缩性修正

Abstract: A transition model considering the compressibility of flow, which is called γ-Reθt-fRe, is developed from the original γ-Reθt 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 by using the Reynolds number compressibility analogy relation obtained by reference temperature method. In order to achieve the localization of the model, an addition-al Reynolds number compressibility analogy relation fRe transport equation is constructed. The developed γ-Reθt-fRe transition model is used to examine the transition cases under different flow conditions and compared with the basic γ-Reθt transition model. The numerical simulation results show that the γ-Reθt-fRe transition model achieves seamless unified simulation capability from low speed to high speed. Under the condition of low speed flow, γ-Reθt-fRe transition model is automatically restored to the basic γ-Reθt transition model. Under supersonic and hypersonic flow conditions, γ-Reθt-fRe transition model significantly improves the prediction of flow transition trigger position and transition zone development.

Key words: Flow transition, Hypersonic, γ-Reθt 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-Reθt-fRe转捩模型[J]. 航空学报, doi: 10.7527/S1000-6893.2021.25794.

Qingyang Liu Zhou LIU Lei Shi. γ-Reθt-fRe Transition model for compressible flow[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, doi: 10.7527/S1000-6893.2021.25794.

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主管单位：中国科学技术协会主办单位：中国航空学会北京航空航天大学

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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