跨声速翼型优化设计的复变量方法应用研究  

An investigation for the complex-variable method in shape optimization of transonic airfoils

作　　者：黄勇[1] 陈作斌[1] 

机构地区：[1]中国空气动力研究与发展中心总体技术部,四川绵阳621000

出　　处：《空气动力学学报》2005年第4期501-505,520,共6页Acta Aerodynamica Sinica

摘　　要：应用复变量方法计算目标函数关于设计变量的灵敏度,以此进行优化设计。该方法尽管计算量较大,但求灵敏度简单易行,适合目标函数比较复杂的情形,而且精度很高,几乎不受扰动步长影响,数值优化过程特别健壮,所以非常适用于设计变量不多或气动力计算很快的情况。Sensitivities of an objective function with respect to design variables are evaluated using the complex-variable method in the present paper, which are used in the process of optimal design. Accurate sensitivities can be obtained by this method for complex objective functions in a very simple way, despite of high computational cost. With the independence of the accuracy of sensitivities to disturbing step-sizes, which leads to a robust numerical optimization iteration, this complex-variable method is viable in some cases, such as those with few design variables or with rapid computation capability for aerodynamic forces.

关 键 词：翼型 外形优化 灵敏度 复变量方法 

分 类 号：V211.41[航空宇航科学与技术—航空宇航推进理论与工程]