一种基于动模态分解的翼型流动转捩预测新方法

doi:10.7527/S1000-6893.2016.0225

流体力学与飞行力学

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一种基于动模态分解的翼型流动转捩预测新方法

韩忠华, 王绍楠, 韩莉, 刘方良, 许建华, 宋文萍

西北工业大学航空学院翼型/叶栅空气动力学国家级重点实验室, 西安 710072

收稿日期:2016-01-11 修回日期:2016-07-21 出版日期:2017-01-15 发布日期:2016-08-08
通讯作者: 韩忠华,E-mail:hanzh@nwpu.edu.cn E-mail:hanzh@nwpu.edu.cn
基金资助:
国家自然科学基金(11302177)；民机专项(MJ-2015-F-016)

A novel method for automatic transition prediction of flows over airfoils based on dynamic mode decomposition

HAN Zhonghua, WANG Shaonan, HAN Li, LIU Fangliang, XU Jianhua, SONG Wenping

National Key Laboratory of Science and Technology on Aerodynamic Design and Research, School of Aeronautics, Northwestern Polytechnical University, Xi'an 710072, China

Received:2016-01-11 Revised:2016-07-21 Online:2017-01-15 Published:2016-08-08
Supported by:
National Natural Science Foundation of China (11302177); Civil Aircraft Project (MJ-2015-F-016)

摘要/Abstract

摘要：

考虑自由转捩的定常/非定常流动Navier-Stokes方程数值求解，对于翼型流动细节的精确模拟和气动力的精确预测均具有十分重要的意义。采用动模态分解（DMD）方法进行流动稳定性分析，再结合e^N方法，提出了一套适用于翼型绕流的转捩预测新方法，称为DMD/e^N方法。相比于传统的线性稳定性分析方法，DMD方法不需要求解附面层方程和线性稳定性方程，也没有引入平行流假设，具有更好的理论适用性和算法鲁棒性。开展了NLF0416、S809和SD7003等翼型的转捩预测数值验证研究，通过与实验结果以及与传统的基于线性稳定性分析的e^N方法的比较，验证了本文所发展的转捩预测新方法在预测翼型的定常流动和非定常流动转捩方面的正确性，也表明了该方法具有解决含层流分离泡的翼型绕流转捩预测的能力。

关键词: 转捩预测, 动模态分解, e^N方法, 翼型, 计算流体力学

Abstract:

Transition prediction is crucial for the simulation of steady and unsteady flows, since it can improve the accuracy of predicting the aerodynamic forces as well as capturing the flow phenomena. By combining dynamic mode decomposition (DMD) and e^N method, a novel transition prediction method for flows over airfoils is proposed. Compared with conventional linear stability-analysis-based e^N method, DMD requires neither the solution of boundary layer and linear stability equations, nor the assumption of parallel flows, and has better applicability in theory and is more algorithmically robust. Transition prediction of steady flows around NLF0416 and S809 airfoils and unsteady flow around SD7003 airfoil are carried out. The predicted transition locations are in reasonably good agreement with the experimental data and the results of e^N method based on linear stability analysis. It is shown that the proposed DMD/e^N method is feasible for transition prediction for steady and unsteady flows over airfoils, including the flows with laminar separation bubbles.

Key words: transition prediction, dynamic mode decomposition, e^N method, airfoil, computational fluid dynamics

中图分类号:

V211.3

韩忠华, 王绍楠, 韩莉, 刘方良, 许建华, 宋文萍. 一种基于动模态分解的翼型流动转捩预测新方法[J]. 航空学报, 2017, 38(1): 120034-120034.

HAN Zhonghua, WANG Shaonan, HAN Li, LIU Fangliang, XU Jianhua, SONG Wenping. A novel method for automatic transition prediction of flows over airfoils based on dynamic mode decomposition[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2017, 38(1): 120034-120034.

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E-mail：hkxb@buaa.edu.cn

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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

一种基于动模态分解的翼型流动转捩预测新方法

A novel method for automatic transition prediction of flows over airfoils based on dynamic mode decomposition

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