基于Kriging模型的翼型多目标气动优化设计研究  

Multi-objective Aerodynamic Design Optimization for Airfoil Using Kriging Model

作　　者：任庆祝[1] 宋文萍[1] 

机构地区：[1]西北工业大学翼型叶栅空气动力学国防科技重点实验室,陕西西安710072

出　　处：《航空计算技术》2009年第3期77-82,共6页Aeronautical Computing Technique

基　　金：国家自然基金项目(90605004);国家863高技术研究发展计划项目(2007AA05Z448)

摘　　要：在翼型气动优化设计中引入Kriging代理模型,发展了一套高效、稳定的气动优化设计程序。采用拉丁超立方试验设计方法在设计空间内构造一系列样本点,通过求解二维可压缩的雷诺平均NS方程(RANS)得到其响应值来建立初始Kriging模型。优化设计采用Hicks-henne函数对翼型几何外形进行参数化表示,以阻力极小化为设计目标,考虑面积、升力、力矩等约束条件,通过算例证明,发展的优化设计方法不仅可行,而且具有高效稳定的特性。与传统的优化设计方法比较,大大减少了设计时间。In this paper, a surrogate model technical based on Kriging model is applied to the airfoil design optimization problem, and a new aerodynamic design optimization method is developed which is of well numerical stability and efficiency. The Latin hypercube method is employed to construct the initial sample points in the design space,the response value are solved by a compressible 2- D RANS program. The hicks- henne functions are used to define the parameterized airfoil geometry, Minimize the drag under the constrained condition, the application indicates that the method is not only feasible, but also has good efficiency. Compared with the traditional design method, the proposed method could decrease the time cost apparently.

关 键 词：KRIGING模型 试验设计 翼型优化设计 

分 类 号：V211.3[航空宇航科学与技术—航空宇航推进理论与工程]