低雷诺数翼型的气动外形优化设计

Aerodynamic shape optimization and design of airfoils with low Reynolds number

  • 摘要: 对翼型参数化方法Parsec和Hicks-Henne型函数系列方法,进行了低雷诺数翼型的参数化描述研究。分析了低雷诺数翼型气动优化目标设置特点,确定改进的Hicks-Henne型函数作为翼型的参数化描述方法。从基于功率因子最大的角度出发,结合Kriging代理模型和遗传算法的运用,进行了低雷诺数翼型的气动外形正优化设计。引入传统高雷诺数翼型的多点优化方法,进行两组不同速度域、两种不同加权系数下的多点优化,优化速度域最大范围15m/s,并结合翼型的单点优化进行研究。结果表明:多点优化更适用于低雷诺数翼型的气动优化;如果某多点优化翼型功率因子均值提高29.54%、力矩系数方差降低27.79%,有利于飞行航时和稳定性提高;多点优化具有较好的工程应用价值。

     

    Abstract: Aerodynamic optimization and design of airfoils with low Reynolds number was introduced in this paper. Objective setting for the optimization and its feasibility were analyzed. Parameterizing quality of the series of Hicks-Henne shape functions and the parsec method were studied. Based on the consideration of power factor maximum, improved Hicks-Henne shape functions were selected as parametric method. Kriging surrogate model and genetic algorithm were adopted in the optimization and design system. Furthermore, multi-point optimization method which is used to optimize conventional airfoils with high Reynolds number was extended to the case of airfoils with low Reynolds number. Four multi-point optimization cases set with different weighted coefficients in two different velocity design fields were calculated, with one velocity field spanned as long as 15m/s. Combined with single-point optimization study, the final results verified that multi-point optimization was more suitable for aerodynamic shape optimization for low Reynolds number airfoils. One of the multi-point optimized airfoils achieved the expected value of power factor increased by 29.54% and the variance of moment coefficient reduced by 27.79%. It’s conducive to flight endurance and the stability improved for engineering demand.

     

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