1. 西南石油大学 理学院,成都,610500
2. 中国空气动力研究与发展中心 计算空气动力研究所,绵阳,621000
3. 空天飞行空气动力科学与技术全国重点实验室,绵阳,621000
郑泓弟(1999—),男,四川人,硕士研究生,研究方向:应用数学. E-mail:13398302372@163.com
赵大志*(1984—),男,四川人,副教授,研究方向:应用数学、人工智能方法在飞机结冰等问题中的应用. E-mail:zhaodazhimail@163.com
李伟斌*(1985—),男,陕西人, 副研究员,研究方向:旋翼空气动力学. E-mail:liweibin@nudt.edu.cn
纸质出版:2025
移动端阅览
郑泓弟, 赵大志, 李伟斌, 等. 基于DMD方法的旋翼流场分解与重构[J]. 空气动力学学报, 2025, 43(3): 110−119.
ZHENG Hongdi, ZHAO Dazhi, LI Weibin, et al. Decomposition and reconstruction of rotor flow field using dynamic mode decomposition method[J]. 2025, 43(3): 110-119.
郑泓弟, 赵大志, 李伟斌, 等. 基于DMD方法的旋翼流场分解与重构[J]. 空气动力学学报, 2025, 43(3): 110−119. DOI: 10.7638/kqdlxxb-2024.0145
ZHENG Hongdi, ZHAO Dazhi, LI Weibin, et al. Decomposition and reconstruction of rotor flow field using dynamic mode decomposition method[J]. 2025, 43(3): 110-119. DOI: 10.7638/kqdlxxb-2024.0145.
模态分解是快速识别流场关键特征并有效提取流场主要信息的重要技术手段。旋翼飞行器的流场具有强非定常、非线性的特点,通常比固定翼飞行器的流场更加复杂,然而,传统的模态分解−本征正交分解(proper orthogonal decomposition
POD)方法分解得到的模态中包含多种流动频率,难以准确地捕捉旋翼流场的动态特征。为了深入认识旋翼流场的流动特征和演化规律,将动力学模态分解(dynamic mode decomposition
DMD)方法引入到旋翼流场的分析中,基于国家数值风洞HeliX软件,开展了Robin机身干扰模型的旋翼流场仿真,完成了DMD方法在旋翼流场中的分解与重构。获得了旋翼流场中各阶流动模态及其频率和增长特性,分析各阶模态所包含的流场信息的同时,建立了旋翼流场的降阶模型,进一步总结了悬停状态下流场重构误差在样本内和样本外的变化情况,以及模态数量对流场重构的影响规律。结果表明,DMD方法能够有效提取旋翼流场的主要特征,且能保留流场主要信息实现重构,可为旋翼涡系演化规律与干扰机制提供方法支撑。
Modal decomposition methods are effective techniques for rapidly identifying key features and extracting essential information from flow fields. However
rotor flow fields are highly unsteady and nonlinear
often more complex than those of fixed-wing aircraft. Traditional proper orthogonal decomposition (POD) yields modes with multiple frequency components
making it challenging to accurately capture dynamic characteristics. To deeply analyze the flow features and evolution of rotor flow fields
the dynamic mode decomposition (DMD) method is introduced. Utilizing the National Numerical Wind Tunnel (NNWT) HeliX software
simulations of the Robin fuselage interference model were conducted
and DMD-based decomposition and reconstruction of the rotor flow field were performed. Key flow modes
their frequencies
and growth characteristics were obtained. A reduced-order model was established
and reconstruction errors under hover and forward flight conditions were analyzed. Results demonstrate that the DMD method effectively extracts dominant flow features and retains critical information for reconstruction
providing methodological support for studying vortex evolution and interference mechanisms.
NOACK B R . From snapshots to modal expansions–bridging low residuals and pure frequencies[J ] . Journal of Fluid Mechanics, 2016 , 802 : 1 − 4 .
BRUNTON S L, BRUNTON B W, PROCTOR J L, et al . Koopman invariant subspaces and finite linear representations of nonlinear dynamical systems for control[J ] . PLoS One, 2016 , 11 ( 2 ): e0150171 .
LUMLEY J L . The structure of inhomogeneous turbulent flows[J ] . Atmospheric Turbulence and Radio Wave Propagation, 1967 : 166 − 178 .
HAO Y Q, ZHAO D Z, LI W B, et al . POD-BPNN prediction model and uncertainty quantification of aircraft icing conditions[J ] . Journal of Nanjing University of Aeronautics Astronautics, 2023 , 55 ( 2 ): 302 − 310 (in Chinese).
BERKOOZ G, HOLMES P, LUMLEY J L . The proper orthogonal decomposition in the analysis of turbulent flows[J ] . Annual Review of Fluid Mechanics, 1993 , 25 : 539 − 575 .
KOU J Q, ZHANG W W . Dynamic mode decomposition and its applications in fluid dynamics[J ] . Acta Aerodynamica Sinica, 2018 , 36 ( 2 ): 163 − 179 (in Chinese).
SCHMID P J . Dynamic mode decomposition of numerical and experimental data[J ] . Journal of Fluid Mechanics, 2010 , 656 : 5 − 28 .
SCHMID P J, SESTERTHENN J. Dynamic mode decomposition of numerical and experimental data[C]// 61st Annual Meeting of the Fluid Dynamics, San Antonio, Texas, USA, 2008.
ROWLEY C W, MEZIC I, BAGHERI S, et al . Spectral analysis of nonlinear flows[J ] . Journal of Fluid Mechanics, 2009 , 641 : 115 − 127 .
ZHANG Z X, ZHANG J F . Research on the flow field features capturing capability of DMD method[J ] . Aircraft Design, 2021 , 41 ( 2 ): 13 − 16, 21 (in Chines e).
DU X Q, LIN Z Q, WU G F . Mode characteristics and reconstruction of flow field around two tandem circular cylinders[J ] . Journal of Harbin Institute of Technology, 2022 , 54 ( 10 ): 49 − 57 (in Chinese).
YE K, WU J, YE Z Y, et al . Anaslysis circular cylinder flow using dynamic mode and proper orthogonal decomposition[J ] . Journal of Northwestern Polytechnical University, 2017 , 35 ( 4 ): 599 − 607 (in Chinese).
LIU S J, ZHANG Z, Liu Q K . Unsteady flow field analysis for flow around square cylinder upon dynamic mode decomposition[J ] . Engineering Mechanics, 2024 , 41 ( s ): 326 − 331 (in Chinese).
SUN G Y, DONG J X, ZHAO Z G, et al . Error analysis of dynamic modal decomposition method reconstruction and prediction for flow field[J ] . Journal of Jiangsu University (Natural Science Edition), 2021 , 42 ( 2 ): 145 − 152 (in Chinese).
MISAR A, TISON N A, KORIVI V M, et al . Application of the DMD approach to high-Reynolds-number flow over an idealized ground vehicle[J ] . Vehicles, 2023 , 5 ( 2 ): 656 − 681 .
DUCOIN A, LOISEAU J C, ROBINET J C . Numerical investigation of the interaction between laminar to turbulent transition and the wake of an airfoil[J ] . European Journal of Mechanics - B/Fluids, 2016 , 57 : 231 − 248 .
ZHANG Y, ZHANG L P, DENG X G, et al . POD and DMD analysis of complex separation flows over an aircraft model at high angle of attack[J ] . Physics of Gases, 2018 , 3 ( 5 ): 30 − 40 (in Chinese).
YE K, YE Z Y, WU J, et al . Stability analysis of scramjet open cavity flow base on POD and DMD method[J ] . Physics of Gases, 2016 , 1 ( 5 ): 39 − 51 (in Chinese).
LI C Y, CHEN Z S, ZHANG X L, et al . Koopman analysis by the dynamic mode decomposition in wind engineering[J ] . Journal of Wind Engineering and Industrial Aerodynamics, 2023 , 232 : 105295 .
ZHI Y C, QIU R D, HUANG R F, et al . Dynamic mode decomposition and reconstruction of the transient propeller wake under a light loading condition[J ] . Ocean Engineering, 2023 , 269 : 113532 .
XIAO Z Y. Study on numerical simulation method of rotor flow field[D]. Mianyang: China Aerodynamics Research and Development Center, 2007 (in Chinese).
XIAO Z Y, GUO Y H, ZHANG L, et al . Block structured adaptive mesh refinement for rotor flows[J ] . Acta Aerodynamica Sinica, 2022 , 40 ( 5 ): 158 − 165 (in Chinese).
BADDOO P J, HERRMANN B, MCKEON B J, et al . Physics-informed dynamic mode decomposition[J ] . Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2023 , 479 ( 2271 ): 20220576 .
0
浏览量
0
下载量
0
CSCD
关联资源
相关文章
相关作者
相关机构
京公网安备11010802024621