跨声速翼型多目标优化设计方法

本文通过采用多目标分级优化方法并基于求解全速势方程的跨声速粘流翼型计算方法，研究发展了一种多参数、多约束和多目标的跨声速翼型数值优化设计方法，应用该方法可以从普通低速翼型和超临界民办型出发通过多目标优化后得到在跨声速区的多个马赫数下阻力系数最小化的翼型几何外形，设计实践表明，该方法具有收敛快，调用目标函数次数少等优点。

MuItiobjective Optimization Design Method of Transonic Airfoils

This paper presents an efficient multiobjective optimization design method for the multiple design-point problem of transonic airfoil. The drag coefficients of multiple design-point are considered as objec-tive functions and the hierarchical optimization method is adopted.Inthe optimization process,the objective functions are listed in order of importance. Every Objective function is minimized by the direct search EXTREM method and subjected to the extra constraints to increments of high level objective function.The aerodynamic analysis program is based on the combination of full potential and houndary layer flow which includes the calculation of laminar boundary layer,turbulent bound ary layer,natural or fixed transition prediction and separation predic-tion. By using the multiobjective optimization method in this paper the supercritical airfoils or the conventional low-speed airfoils can be modi-fied to be transonic airfoils Which have lower drag coeffieients at two or more design Mach numbers.The presented method in this paper is very attractive for practical engineering application because of the quick convergence.