基于湍动能输运的一方程转捩模型

推进技术 ›› 2019, Vol. 40 ›› Issue (4): 741-749.

基于湍动能输运的一方程转捩模型

徐晶磊¹,周禹²,乔磊³,徐家宽³

北京航空航天大学能源与动力工程学院航空发动机气动热力国家级重点实验室，北京 100191,空间物理重点实验室，北京 100076,西北工业大学航空学院，陕西西安 710072,西北工业大学航空学院，陕西西安 710072

发布日期:2021-08-15
作者简介:徐晶磊，博士，研究领域为大涡模拟，流固耦合。E-mail: xujl@buaa.edu.cn 通讯作者:周禹，博士，高级工程师，研究领域为计算流体力学。
基金资助:
国家自然科学基金(11472055)。

关键词:湍流模型；转捩模型；高保真；可压缩修正

National Key Laboratory of Science and Technology on Aero-Engine Aero-thermodynamics，School of Energy and Power Engineering，Beijing University of Aeronautics and Astronautics，Beijing 100191，China,Key Laboratory of Space Physics，Beijing 100076，China,School of Aeronautics，Northwestern Polytechnical University，Xi’an 710072，China and School of Aeronautics，Northwestern Polytechnical University，Xi’an 710072，China

Published:2021-08-15

摘要/Abstract

摘要： 传统转捩模型的构造十分依赖转捩机理的发现和理解，对机理的模化也存在误差。本文基于尺度自适应的KDO湍流模型，以输运变量[r=μt/μ]重新标定模型参数，使模型整体达到了流动结构自适应，可实现湍流/转捩一体化计算。根据长度尺度的不同，可细分为KDO-tran和CKDO-tran模型。CFD计算评估了经典的T3A，T3B平板边界层旁路转捩，T3A-平板边界层自然转捩，Aero-A翼型分离泡转捩，DLR-F5，6:1椭球横流转捩及可压缩平板边界层、尖锥转捩。该模型无法精确捕捉层流-湍流的过渡，但能准确捕捉转捩的起始位置(Transition onset)，在高Re数、复杂流动的表现尤其突出。该模型捕捉转捩的机制在于流动结构的自适应和湍流输运特性的保存，不引入任何转捩机理却能捕捉多种类型的转捩现象，具有较好的适用性。

关键词: 湍流模型；转捩模型；高保真；可压缩修正

Abstract: The traditional transition model heavily depends on the discovery and understanding of the transition mechanisms， and there are errors in the modeling process. The KDO Scale-Adaptive-Simulation model is selected as the base model， the coefficient of which is recalibrated with the transport variable [r=μt/μ]. Depending on the scales， it can be subdivided into KDO-tran and CKDO-tran models. CFD simulations of classic T3A， T3B flat plate bypass transitions， T3A- flat plate natural transition， Aero-A airfoil separation bubble transition， DLR-F5， 6:1 spheroid cross-flow transition， compressible boundary layer transition and supersonic cone transition are performed. The turbulence / transition integrated model can not precisely capture the region between laminar and turbulent flows but accurately captures the transiton onsets and the peak friction values after transition. Especially at high Re numbers， the performance in complex flow is particularly prominent. The model does not introduce any transition mechanism but can capture many types of transition phenomenon， with high reliability. The key is the preservation of transport and flow-structure adaptive features of the fluid.

Key words: Turbulence model；Transition model；High-fidelity；Compressibility correction

徐晶磊,周禹,乔磊,徐家宽. 基于湍动能输运的一方程转捩模型[J]. 推进技术, 2019, 40(4): 741-749.

XU Jing-lei¹,ZHOU Yu²,QIAO Lei³,XU Jia-kuan³. 关键词:湍流模型；转捩模型；高保真；可压缩修正[J]. Journal of Propulsion Technology, 2019, 40(4): 741-749.

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