基于参数敏感性分析的反设计方法

Inverse Airfoil Design Based on Sensitive Analysis of Parameterized Methods

在基于类别形状函数变换(CST)的反设计方法中,通过考察CST参数化与反设计过程,完成了基于参数敏感性分析的反设计,实现了翼型的快速、准确反设计;研究了Bernstein多项式阶数进化对反设计过程敏感性的影响。研究结果表明,在亚音速状态下,采用反设计方法能使设计压力分布较好逼近目标压力分布;在跨音速状态出现激波时或在计算过程出现迭代发散时,加入阶数进化手段后的敏感性分析方法能改善激波区域的敏感度,使迭代较好收敛。方法能够反映各种光滑翼型压力残差和翼型几何外形改变的关系,在给定状态下用初始翼型快速且比较准确地拟合目标翼型。

In the method of inverse airfoil design utilizing CST parameterization, considering the process of CST parameterization and inverse design,the method of inverse airfoil design based on sensitive analysis of parameterization was accomplished which is accurate and efficient. The results are shown to accurately determine the airfoil geometry in both subsonic and transonic flows. Then a study on degree elevation of Bernstein polynomial was performed in this paper. During the iteration process of inverse design in transonic flows where the shock was appeared or when the iteration process was not convergence, a degree elevation was added in, which can improve the precision of results. Then the target pressure distribution can be calibrated well. Airfoil inverse design examples demonstrate that：this method can approach the target airfoil geometries in given conditions quickly and precisely.