Parametric reduced-order model of unsteady aerodynamics based on incremental learning algorithm

被引:0
作者
Chen Z. [1 ]
Liu Z. [1 ]
Miao N. [1 ]
Feng W. [2 ]
机构
[1] School of Aeronautical Engineering, Zhengzhou University of Aeronautics, Zhengzhou
[2] School of Electromechanical Engineering, Henan University of Technology, Zhengzhou
来源
Hangkong Xuebao/Acta Aeronautica et Astronautica Sinica | 2021年 / 42卷 / 07期
基金
中国国家自然科学基金;
关键词
Flutter; Incremental learning algorithms; Least squares support vector regression; Parametric reduced-order models; Unsteady aerodynamics;
D O I
10.7527/S1000-6893.2021.25103
中图分类号
学科分类号
摘要
The aerodynamic Reduced-Order Model (ROM) is a useful tool in the prediction of nonlinear unsteady aerodynamics with reasonable accuracy and low computational cost. The efficacy of this method has been validated by recent studies. However, the robustness of ROMs with respect to flight parameter variations should be further improved. To enhance the prediction capability of ROMs for varying flight parameters, this paper presents two parametric reduced-order models based on the Least Squares Support Vector Regression (LS-SVR) and the incremental learning algorithm. LS-SVR is a class of regression methods with good generalization ability, and the main contribution of the incremental learning algorithm based on LS-SVR is that it is not necessary to relearn the whole data set while the new sample sets are incremented. To illustrate the approach, we construct the parametric unsteady aerodynamic ROMs of the NACA64A010 airfoil model with two degrees of freedom. The Mach number and angle of attack are considered as the additional model inputs to train the relationship between aerodynamic inputs and the corresponding outputs. It is demonstrated that the model can accurately capture the dynamic characteristics of aerodynamic and aeroelastic systems for varying flight parameters. © 2021, Beihang University Aerospace Knowledge Press. All right reserved.
引用
收藏
相关论文
共 33 条
[1]  
HU H Y, ZHAO Y H, HUANG R., Studies on aeroelastic analysis and control of aircraft structures, Chinese Journal of Theoretical and Applied Mechanics, 48, 1, pp. 1-27, (2016)
[2]  
LUCIA D J, BERAN P S, SILVA W A., Reduced-order modeling: new approaches for computational physics, Progress in Aerospace Sciences, 40, 1-2, pp. 51-117, (2004)
[3]  
CHEN G, LI Y M., Advances and prospects of the reduced order model for unsteady flow and its application, Advances in Mechanics, 41, 6, pp. 686-701, (2011)
[4]  
REN F, GAO C Q, TANG H., Machine learning for flow control: applications and trends, Acta Aeronautica et Astronautica Sinica, 42, 4, (2021)
[5]  
NOACK B R, AFANASIEV K, MORZYNSKI M, Et al., A hierarchy of low-dimensional models for the transient and post-transient cylinder wake, Journal of Fluid Mechanics, 497, pp. 335-363, (2003)
[6]  
HU J W, LIU H R, WANG Y G, Et al., Reduced order model for unsteady aerodynamic performance of compressor cascade based on recursive RBF, Chinese Journal of Aeronautics, 34, 4, pp. 341-351, (2021)
[7]  
PROCTOR J L, BRUNTON S L, KUTZ J N., Dynamic mode decomposition with control, (2014)
[8]  
BRUNTON S L, PROCTOR J L, KUTZ J N., Discovering governing equations from data by sparse identification of nonlinear dynamical systems, Proceedings of the National Academy of Sciences of the United States of America, 113, 15, pp. 3932-3937, (2016)
[9]  
ROWLEY C W, MEZIC I, BAGHERI S, Et al., Spectral analysis of nonlinear flows, Journal of Fluid Mechanics, 641, pp. 115-127, (2009)
[10]  
SILVA W A, BARTELS R E., Development of reduced-order models for aeroelastic analysis and flutter prediction using the CFL3Dv6.0 code, Journal of Fluids and Structures, 19, 6, pp. 729-745, (2004)