基于动态边界控制的气动优化设计方法研究

本文根据控制变形物体边界变化的思想,建立了一种基于动态边界控制的气动优化设计方法,此方法通过在求解非定常流动方程过程中计算设计目标函数随设计变量变化的敏感性导数,这样在优化过程中不再需要求解定常流动方程,或共轭方程,从而使得优化过程得到简化并且便于在不同条件下应用.文中以二维翼型为例,用非定常欧拉方程为基本流动控制方程,针对两种优化设计问题,开展了翼型的优化设计,取得了良好的优化设计结果.

Research of aerodynamic optimization method based on dynamic boundary control

An aerodynamic optimization method is described which is based on dynamic boundary control. This method is according to the idea of controlling the boundary of transforming object. By solving the unsteady flow control equations, we obtain the sensitivity derivatives of object function to design variables. Using sensitivity derivatives, the design variables are changed to increase the object function value until the optimization result is obtained. Since solving steady control equations or conjugate equations is not necessary, the optimization procedure is simplified and the method is suitable for many other cases. Results using unsteady Euler equations in two dimensions for airfoils are presented to demonstrate this (method's) efficiency and validity.