翼型气动优化设计问题多极值特性研究  

Study on Multimodality in Aerodynamic Airfoil Optimization Design

作　　者：何萌 白俊强[1] 昌敏[2] 张煜[1] He Meng;Bai Junqiang;Chang Min;Zhang Yu(School of Aeronautics,Northwestern Polytechnical University,Xi’an 710072,China;Unmanned System Research Institute,Northwestern Polytechnical University,Xi’an 710072,China)

机构地区：[1]西北工业大学航空学院,西安710072 [2]西北工业大学无人系统技术研究院,西安710072

出　　处：《航空工程进展》2019年第5期664-672,共9页Advances in Aeronautical Science and Engineering

摘　　要：认识翼型气动外形优化问题设计空间的多极值特性,有助于人们在翼型设计阶段选择合理的优化算法,提高优化效率、缩短设计周期。研究RAE2822翼型在优化减阻过程中设计空间的多极值特性,采用ADODGcase2算例,使用自由变形方法(FFD)对翼型进行参数化,通过拉丁超立方抽样方法对翼型加入初始扰动;使用基于梯度的优化算法对经过不同扰动后的翼型进行优化,并将优化结果与全局优化算法的优化结果进行对比。结果表明:ADODGcase2可能是一个单峰值气动设计问题,梯度算法能够得到相对满意的最优解,并且具有更高的优化效率;在给定面积约束的条件下,对于翼型跨声速单点减阻优化问题,设计空间很可能是单峰值的,可直接使用梯度优化算法。Studying on the multi-extremum characteristics of airfoil aerodynamic shape optimization design space is helpful for people to choose a reasonable optimization algorithm in the airfoil design stage,improve the optimization efficiency and shorten the design cycle.This paper explores the multimodality of the RAE2822 airfoil optimization of drag minimization provided by AIAA Aerodynamic Design Optimization Discussion Group(ADODG).The airfoil is parameterized by using the FFD(free-form deform)parameterization technique,and the initial perturbation is added to the airfoil by using the uniform latin hypercube method.Then the gradient-based optimization algorithm is used to optimize the airfoil after different disturbances,and the optimization results are compared with the optimization results of the global optimization algorithm.The results show that ADODG case2 is probably a convex peak design problem.The gradient-based algorithm can obtain a relatively satisfactory optimal solution and has a higher optimization efficiency.The conclusion can be inferred from this study that airfoil transonic minimising drag optimization subject to area constraint is possible a convex peak design problem.Gradient optimization algorithms can be used directly.

关 键 词：翼型气动优化 全局算法 梯度算法 多极值 

分 类 号：V211.41[航空宇航科学与技术—航空宇航推进理论与工程]