基于Legendre小波的翼型参数化研究  

A Parametric Study of Airfoil Based on Legendre Wavelet

作　　者：何晓骁 黄俊[1] 仪明旭[1] 

机构地区：[1]北京航空航天大学航空科学与工程学院,北京100191

出　　处：《飞机设计》2017年第1期1-5,共5页Aircraft Design

摘　　要：翼型参数化方法的精确性,在翼型的生产加工、气动和隐身性能计算过程中有重要的作用。基于Legendre小波对翼型进行参数化研究,得到以小波函数为基底的上、下翼面控制参数。该方法通过对翼型基本数据处理,利用Legendre小波函数的正交性、显式表达式,可实现对翼型较为精确的描述。通过分析3种有复杂且具有代表性翼型的参数化结果,说明Legendre小波可准确地描述翼型外形,且随着翼型输入离散点数的增加,所得到的参数化翼型精度越高。算例进一步验证了该方法的可行性和有效性,扩展了翼型参数化的方法。The accuracy of airfoil parametric method plays an important role in the manufacture of airfoil and computing processes of aerodynamics and radar cross-section. The control parameters of upper and lower airfoil have been calculated based on the wavelet function and the parametric study of airfoil based on Legendre wavelet. The airfoil is accurate described by using orthogonality and ex- plicit primary function of Legendre wavelet. The capability of accurate describing airfoil is directly proved by testing three complex and representative airfoils. The airfoil parametric results are analyzed and the conclusion is that parametric accuracy will increase along with the increase of airfoil coordi- nates. Also, the feasibility and availability of this method is verified by these experiments. The paramet- ric study of airfoil based on Legendre wavelet extends the method of airfoil parametric expression.

关 键 词：翼型 参数化 LEGENDRE多项式 残差 

分 类 号：V211.4[航空宇航科学与技术—航空宇航推进理论与工程]