三种翼型参数化方法的研究  

The Research on Three Parameterized Methods for Airfoil

作　　者：孙勤[1] 张俊彦[1] 邹汝红 

机构地区：[1]湘潭大学土木工程与力学学院,湖南湘潭411105

出　　处：《湘潭大学自然科学学报》2013年第3期34-39,共6页Natural Science Journal of Xiangtan University

基　　金：湖南省科技厅资助项目(2011FJ3226)

摘　　要：研究了型函数扰动法、控制点法以及复合映射法三类翼型参数化方法在翼型优化设计中的应用.对比这些方法的几何收敛及气动特性收敛结果发现,形状函数的几何表征能力最强,Hicks-Henne型函数、Spline函数依次次之.通过基于偶极子面元法的翼型逆设计,运用SQP算法优化求解,比较各参数化方法的设计结果得出第一类方法计算精度最高、第二类计算稳定性最强、第三类不易于推广的结论.Three parameterized methods for optimization design of airfoil were investigated in this paper, which contained linear shape function method, control points method and eonformal mapping method. By comparing with the geometric and aerodynamic convergence of these methods, it can be concluded that shape function is highly adaptable to geometric change, Hicks-Henne linear shape function and spline function come worst. Optimization design of airfoil, which employed doublet panel method for flow solution, and u- sing sequential quadratic programming for optimal solution. It can be found from the results of the design that the first method＇ s accuracy is the highest, the second has the strongest stability and the last one is hard to extend.

关 键 词：型函数扰动法 控制点法 复合映射法 SQP算法 翼型逆设计 

分 类 号：TK83[动力工程及工程热物理—流体机械及工程]