基于代理模型的气动设计稳健优化方法(英文)

ROBUST OPTIMIZATION OF AERODYNAMIC DESIGN USING SURROGATE MODEL

为了减少不确定分析的计算量,提出了一种基于代理模型的不确定性气动设计优化方法,其中代理模型主要用于简化不确定分析计算过程。运用拉丁方试验设计和Krig-ing建立了代理模型,用随机参数来表示尺寸误差和飞行条件的变化。基于代理模型,以蒙特卡洛模拟法作为不确定分析方法,求解气动性能的均值和方差。在此基础上定义了气动稳健优化问题的表达式,用遗传算法进行求解,并以某翼型的优化问题对该方法进行验证。结果表明,通过该方法得到的最优解对不确定性的敏感度大大减小,同时在不确定的情况下仍然能满足设计约束条件。

To reduce the high computational cost of the uncertainty analysis, a procedure is proposed for the aerodynamic optimization under uncertainties, in which the surrogate model is used to simplify the computation of the uncertainty analysis. The surrogate model is constructed by using the Latin Hypercube design and the Kriging model. The random parameters are used to account for the small manufacturing errors and the variations of operating conditions. Based on the surrogate model, an uncertainty analysis approach, called the Monte Carlo simulation, is used to compute the mean value and the variance of the predicated performance. The robust optimization for aerodynamic design is formulated, and solved by the genetic algorithm. And then, an airfoil optimization problem is used to test the proposed procedure. Results show that the optimal solutions obtained from the uncertainty-based optimization formulation are less sensitive to uncertainties. And the design constraints are still satisfied under the uncertainties.