基于逐次升阶的翼型参数化与气动优化方法研究

Research on airfoil parameterization based on adding-order method and its application in aerodynamic optimization

研究了基本Bezier样条曲线的特性,对比了不同阶次Bezier曲线对超临界翼型的几何描述能力以及由几何偏差带来的气动性能的偏差。利用Bezier曲线的特性提出逐次升阶的翼型参数化方法,结合改进的粒子群优化算法,建立了逐步扩展设计空间的气动优化设计方法,兼顾设计空间和优化效率,很好地解决了设计质量和设计效率之间的矛盾。最后通过典型翼型的优化设计,对比了文中方法与传统Hicks-Henne型函数方法,验证了文中方法的可行性和高效性。

The number of design variables and their design room are focused on in airfoil pa-rameterization.Fewer variables helps improve the speed of convergence and adequate design room can help to find the best result.However,they contradict with each other.A research was carried on the performances of basic Bezier-Spline curves and a comparison was presented between different orders of Bezier-Spline curves in order to explain their ability of describing a supercritical airfoil and aerodynamic errors as a result of geometric errors.An adding-order airfoil parameter-ization method was put forward based on the characteristics of Bezier-Spline curves.An optimiza-tion design system of expanding design room was established combined with improved particle swarm optimization algorithm which guarantees design room and efficiency.The method balances the inconsistency of design quality and efficiency.By comparing the results of a typical airfoil op-timization using the proposed method and the traditional Hicks-Henne model function method, feasibility and high efficiency of this method is verified.