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。
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.
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