Vortex generator jets usually use a circular hole. The hole exit shape is also an important parameter, so the change of the shape will have a significant influence on the control effect of the compressor. In this article, the optimization design of the hole exit shape is studied in order to find the optimal geometry. The 2D hole exit shape is represented with a binary coded and initialized with the B-spline. The surrogate-based optimizer consists of a parametric design code, a computational fluid dynamics solver, a Kriging model, an infill sample criterion, and a genetic algorithm. First, the design of the symmetric hole is studied in a low ratio of the jet to inlet mass flow. The circumferential length of the designed hole is fixed. Second, both the symmetric hole and the asymmetric hole are studied. And the area of the hole exit shape is fixed. The results show that the optimal hole shape can enhance the strength of the jet vortex and reduce the total pressure loss of the compressor cascade. A better control effect can also be obtained in a high jet mass flow.

涡流发生器喷嘴通常使用一个圆孔。孔出口形状也是一个重要的参数，因此形状的变化将对压缩机的控制效果产生重大影响。在本文中，对孔出口形状的优化设计进行了研究，以找到最佳的几何形状。2D孔出口形状用二进制编码表示，并用B样条曲线初始化。基于代理的优化器由参数设计代码，计算流体动力学求解器，Kriging模型，填充样本标准和遗传算法组成。首先，在低射流与入口质量流之比的情况下研究对称孔的设计。设计孔的圆周长度是固定的。其次，研究了对称孔和非对称孔。并且孔出口形状的面积是固定的。结果表明，最佳的孔形可以增强喷流涡流的强度，并减少压气机叶栅的总压力损失。在高喷射质量流量下也可以获得更好的控制效果。