前尾缘襟翼对扑翼获能流场影响的POD和DMD分析

POD and DMD analysis of the effects of leading- and trailing-edge flaps on energy harvest of a flapping wing

  • 摘要: 扑翼是一种利用翼型升沉和俯仰耦合运动捕获流体动能的能量转换装置。为了分析扑翼在获能过程中的尾迹流场结构、模态能量分布及非定常频率特征,本文采用本征正交分解(proper orthogonal decomposition, POD)和动态模态分解(dynamic mode decomposition, DMD)方法,对原始扑翼和带前、尾缘襟翼扑翼在升沉和俯仰耦合运动过程中的尾迹区域流场特征进行对比分析。研究结果表明,POD方法能够有效提取扑翼尾迹区的主导能量结构。对于原始扑翼,前16阶POD模态的累计能量占比超过96%,其中前8阶模态占据总脉动能量的85%以上,说明低阶模态主导了扑翼尾迹区的主要非定常流动结构。DMD分析进一步表明,原始扑翼尾迹区频率低于15 Hz的低频模态对脉动流场总能量的贡献超过80%,其中能量最高的特征频率约为1.136 Hz,与扑翼升力主频及POD主导模态频率相对应。与原始扑翼相比,施加前、尾缘襟翼控制后,尾迹区脉动速度场能量明显增强,主要能量进一步集中于前4阶POD模态;DMD结果显示,与主频及其倍频相近的低频模态贡献显著提高,其中相关模态能量提升均超过20%,表明前、尾缘襟翼能够有效调控对升力和获能过程具有重要影响的大尺度涡结构。同时,高阶模态所代表的小尺度结构影响逐渐减弱,尾迹区流场能量分布更加集中。综上,前、尾缘襟翼控制通过增强低频主导涡结构的能量贡献、优化尾迹区流场组织形式,改善了扑翼获能过程中的非定常流动特性。该研究可为扑翼获能装置的流动控制设计及能量捕获效率提升提供理论依据。

     

    Abstract: Flapping wings harvest kinetic energy from fluids by utilizing the coupled heave and pitch motions of an airfoil. Considerable research has been conducted on the energy-harvesting motion of flapping wings, primarily focusing on experimental and simulation studies that examine how the geometric and kinematic parameters affect the energy utilization efficiency. However, analyses of the flow structures and flow characteristics during the energy-harvesting process of flapping wings are relatively scarce. This study employs the proper orthogonal decomposition (POD) and dynamic mode decomposition (DMD) methods to thoroughly analyze the flow field in flapping wing energy harvesting. The primary focus is a comparative analysis of the wake flow characteristics between the original flapping wing and that equipped with leading- and trailing-edge flaps during their heaving and pitching motions. Through this comparison, the differences in flow structures and energy distributions between the flapping wing energy harvester with and without the control method are revealed, providing a theoretical basis for the development of more efficient energy capturing methods. The results demonstrate that lower-order POD modes can capture the main energy structures in the flow field, while the DMD method can effectively identify the frequency characteristics and the stability of unsteady structures. The application of active control to the flapping wings significantly improves their flow characteristics, reduces detrimental multi-frequency structures, and thereby optimizes the flow field and enhances the energy harvesting efficiency of the flapping wings.

     

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