空气动力学学报
空氣動力學學報
공기동역학학보
ACTA AERODYNAMICA SINICA
2014年
3期
300-307
,共8页
陈学孔%郭正%易凡%王瑞波%刘光远%李泓兴
陳學孔%郭正%易凡%王瑞波%劉光遠%李泓興
진학공%곽정%역범%왕서파%류광원%리홍흥
低雷诺数翼型%多点优化%Parsec 方法%Hicks-Henne 型函数
低雷諾數翼型%多點優化%Parsec 方法%Hicks-Henne 型函數
저뢰낙수익형%다점우화%Parsec 방법%Hicks-Henne 형함수
airfoils with low Reynolds number%multi-point optimization%Parsec method%Hicks-Henne shap e functions
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。
對翼型參數化方法 Parsec 和 Hicks-Henne 型函數繫列方法，進行瞭低雷諾數翼型的參數化描述研究。分析瞭低雷諾數翼型氣動優化目標設置特點，確定改進的 Hicks-Henne 型函數作為翼型的參數化描述方法。從基于功率因子最大的角度齣髮，結閤 Kriging 代理模型和遺傳算法的運用，進行瞭低雷諾數翼型的氣動外形正優化設計。引入傳統高雷諾數翼型的多點優化方法，進行兩組不同速度域、兩種不同加權繫數下的多點優化，優化速度域最大範圍15m/s，併結閤翼型的單點優化進行研究。結果錶明：多點優化更適用于低雷諾數翼型的氣動優化；如果某多點優化翼型功率因子均值提高29．54％、力矩繫數方差降低27．79％，有利于飛行航時和穩定性提高；多點優化具有較好的工程應用價值。
대익형삼수화방법 Parsec 화 Hicks-Henne 형함수계렬방법，진행료저뢰낙수익형적삼수화묘술연구。분석료저뢰낙수익형기동우화목표설치특점，학정개진적 Hicks-Henne 형함수작위익형적삼수화묘술방법。종기우공솔인자최대적각도출발，결합 Kriging 대리모형화유전산법적운용，진행료저뢰낙수익형적기동외형정우화설계。인입전통고뢰낙수익형적다점우화방법，진행량조불동속도역、량충불동가권계수하적다점우화，우화속도역최대범위15m/s，병결합익형적단점우화진행연구。결과표명：다점우화경괄용우저뢰낙수익형적기동우화；여과모다점우화익형공솔인자균치제고29．54％、력구계수방차강저27．79％，유리우비행항시화은정성제고；다점우화구유교호적공정응용개치。
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.Krig-ing surrogate model and genetic algorithm were adopted in the optimization and design system.Further-more,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 veloci-ty 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.
