改进Hicks-Henne型函数法在翼型参数化中的应用

Application of improved Hicks-Henne shape function to airfoil parameterization

翼型参数化是翼型优化中的重要组成部分。以最常用的Hicks-Henne型函数法为基础,分析了此型函数对翼型后缘描述不精确的原因,并提出了改进方法。由于Hicks-Henne型函数在使用中需确定型函数峰值位置,即站位点和型函数的幅值大小,利用站位点生成函数,结合改变型函数幅值的思想,通过优化算法来自动调节站位点分布和型函数幅值,提高了翼型描述精度。算例分析表明,该改进方法能够大幅度提高Hicks-Henne型函数法对翼型的描述精度,具有一定的工程实用价值。

Airfoil parameterization is a very important part of airfoil optimization,because optimization method uses the parameterization method to find the best solution.In this paper,the analysis of shortage and the modified method of original Hicks-Henne shape function are given.On the other hand,the Hicks-Henne methodology requires additional inputs to adjust the peak magnitudes and locations of each contour that has been adjusted.An automatic modified peak magnitudes and locations of each contour adjusted method are put forward.This method can omit the work of giving additional inputs before airfoil optimization;Meanwhile,the control variables of peak and amplitude magnitude of the Hicks-Henne shape function are set as design variables.All of these modifications can enhance the precision of the approximate method.The results of the test cases confirm that this method is valuable for airfoil optimization.