基于Sobol指数的翼型动态失速优化全局敏感性分析  

A Global Sensitivity Analysis for Airfoil Dynamic Stall Optimization Based on the Sobol Index

作　　者：张强 缪维跑 刘青松 李春[1,2] 岳敏楠 张万福 ZHANG Qiang;MIAO Weipao;LIU Qingsong;LI Chun;YUE Minnan;ZHANG Wanfu(School of Energy and Power Engineering,University of Shanghai for Science and Technology,Shanghai 200093,China;Shanghai Key Laboratory of Multiphase Flow and Heat Transfer in Power Engineering,Shanghai 200093,China)

机构地区：[1]上海理工大学能源与动力工程学院,上海200093 [2]上海市动力工程多相流动与传热重点实验室,上海200093

出　　处：《工程热物理学报》2025年第2期402-409,共8页Journal of Engineering Thermophysics

基　　金：国家自然科学基金(No.51976131,No.52006148,No.52106262)。

摘　　要：翼型动态失速会在吸力面形成前缘失速涡导致气动力波动,严重影响风能捕获效率。气动形状优化提供了一种有效方法延缓翼型动态失速特性。然而,采用计算流体动力学(CFD)模拟进行多次评估使得优化过程的计算成本很高。因此,本文提出了一种基于代理的优化(SBO)技术,以减轻计算负担。通过对S809风力机翼型的优化,验证了该框架的可行性。由于优化翼型厚度和前缘半径的增加,抑制了尾缘涡向前缘的发展。与基准翼型相比,优化后的翼型在一个振荡周期内的平均阻力系数和弯矩系数分别降低了23.91%和17.62%,而升力系数并未减小。最后,利用Sobol指数对设计变量进行全局敏感性分析,揭示了对翼型动态失速特性影响最大的几何参数及其相互作用。Dynamic stall of an airfoil causes aerodynamic fluctuations due to the formation of leading edge stall vortices on the suction surface,which seriously affects the wind energy capture efficiency and structural stability.Aerodynamic shape optimization provides an effective method to retard the dynamic stall characteristics.However,multiple evaluations using accurate but time-consuming computational fluid dynamics(CFD)simulations make the optimization process computationally expensive.Therefore,an surrogate-based optimization(SBO)technique is proposed in this paper to reduce the computational burden.The feasibility of the framework is verified by optimizing the S809wind turbine airfoil.Due to the increase in thickness and leading edge radius of the optimized airfoil,the development of trailing edge vortices towards the leading edge is suppressed.Compared with the baseline airfoil,the average drag coefficient and bending moment coefficient of the optimized airfoil are reduced by 48.95%and 23.74%respectively,while the lift coefficient is improved.Finally,a global sensitivity analysis of the optimized design using Sobol's index reveals the geometric parameters and their interactions that have the greatest influence on the dynamic stall characteristics of the airfoil.

关 键 词：风力机翼型 动态失速 代理模型 敏感性分析 翼型优化 

分 类 号：TK83[动力工程及工程热物理—流体机械及工程]