提出了变精度模型的分级型进化算法并对初始翼型为 NACA0 0 1 2的二维翼型进行了跨声速流动下的形状增升优化。借鉴自然进化中不同进化阶段个体适应度评估环境不同的机理 ,构造了分级精度模型以加速优化过程。对翼型进行了给定气动条件下的形状增升优化 ,给出了优化结果 ,并与传统基因算法及单精度模型算法结果进行了对比 A hierarchical evolutionary algorithm of variable precision model is proposed and the shape optimization of two-dimensional airfoil with initial airfoil NACA0 0 1 2 is performed under the condition of transonic flow. Drawing on different mechanisms of individual adaptability assessment in different stages of evolution in natural evolution, a hierarchical accuracy model was constructed to speed up the optimization process. The aerofoil is optimized for shape enhancement under a given aerodynamic condition. The optimization results are given and compared with the results of traditional genetic algorithm and single-precision model algorithm