亚跨声速边界层增长因子输运模式研究进展

徐家宽; 王玉轩; 张扬; 乔磊; 刘建新; 白俊强

doi:10.7527/S1000-6893.2021.26734

航空学报 >

2022 , Vol. 43 >Issue 11: 526734 - 526734

DOI: https://doi.org/10.7527/S1000-6893.2021.26734

综述

亚跨声速边界层增长因子输运模式研究进展

徐家宽 ,
王玉轩 ,
张扬 ,
乔磊 ,
刘建新 ,
白俊强

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1. 西北工业大学航空学院, 西安 710072;
2. 西安交通大学机械强度与振动国家重点实验室, 西安 710049;
3. 天津大学机械工程学院高速空气动力学研究室, 天津 300072

收稿日期: 2021-12-02

修回日期: 2021-12-11

网络出版日期: 2022-01-04

基金资助

国家自然科学基金（12102361）；中央高校基本科研业务费（G2021KY05101）

收起

Progress in amplification factor transport models in subsonic and transonic boundary layers

XU Jiakuan ,
WANG Yuxuan ,
ZHANG Yang ,
QIAO Lei ,
LIU Jianxin ,
BAI Junqiang

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1. School of Aeronautics, Northwestern Polytechnical University, Xi'an 710072, China;
2. State Key Laboratory for Strength and Vibration of Mechanical Structures, Xi'an Jiaotong University, Xi'an 710049, China;
3. High Speed Aerodynamics Research Laboratory, School of Mechanical Engineering, Tianjin University, Tianjin 300072, China

Received date: 2021-12-02

Revised date: 2021-12-11

Online published: 2022-01-04

Supported by

National Natural Science Foundation of China (12102361); the Fundamental Research Funds for the Central Universities(G2021KY05101)

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摘要

基于线性稳定性理论的e^N方法是航空航天飞行器绕流转捩预测技术中可信度较高的一种。传统的线性稳定性理论的求解过程较为复杂，在复杂气动外形表面的推广阻力较大。随着近年来当地化转捩模式的快速发展，将传统线性稳定性理论的分析流程模式化，即将线性稳定性理论分析转化为一个CFD问题，成为研究热点。其核心思想是对层流相似性解进行大量的线性稳定性分析，然后获得扰动增长因子包络线与层流基本流特征变量之间的函数映射关系，再利用输运方程的积分特性构造对应扰动增长因子的输运模式。随后对模式中出现的非当地变量进行当地化求解，最终与湍流模式耦合形成新的转捩-湍流输运模式。经过验证，当前发展的流向N_TS输运模式与横流N_CF输运模式在广泛的算例验证中取得了较高的预测精度，但还存在需要改进和完善的地方。

关键词： 线性稳定性理论; 转捩模式; 湍流模式; 增长因子; e^N方法

本文引用格式

徐家宽 , 王玉轩 , 张扬 , 乔磊 , 刘建新 , 白俊强 . 亚跨声速边界层增长因子输运模式研究进展[J]. 航空学报, 2022 , 43(11) : 526734 -526734 . DOI: 10.7527/S1000-6893.2021.26734

Abstract

Based on the linear stability theory, the e^N method is one of the most reliable transition prediction techniques for aerospace vehicles. However, the complexity of traditional linear stability theory increases the difficulty in its application to the flows over complex aerodynamic configurations. With the rapid development of the local-variable-based transition model in recent years, modeling the process of the traditional linear stability theory, that is, transforming the linear stability theory analysis into a CFD problem, has become a research hotspot. The key idea is to analyze the linear stability of a large number of similarity solutions of laminar boundary layers, followed by obtaining the relationship between the envelope of the amplification factor and the characteristic variables of the mean laminar flow. After that, the amplification factor transport model using the integral characteristics of the transport equation is constructed. The non-local variables in the model are solved locally and the new transport equations are coupled with the turbulence model to form a new transition-turbulence transport model. Verifications show that the current developed streamwise N_TS transport model and crossflow N_CF transport model have achieved high prediction accuracy in a wide range of numerical examples, despite improvements yet to be made in some aspects.

Key words： linear stability theory; transition model; turbulence model; amplification factor; e^N method

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