The development of secondary flow in a supersonic turbulent square duct is numerically investigated in this paper. By comparing with the experimental data, the RSM turbulent model is revealed to be able to predict the secondary flow induced by the anisotropy of turbulence. To identify the corner vortex, the vortex recognition method, Liutex, is employed to extract the vortex structures and their cores. The results show that the spatial development of the corner vortex in the square duct has two stages: the linear growth stage and the stable maintenance stage. Moreover, the propagation of vortex is restricted by the boundary layer and the size of the cross-section. For a square duct, the propagation of the corner vortex in the direction perpendicular to the nearest wall stabilizes first.

本文对超音速湍流方管中二次流的发展进行了数值研究。通过与实验数据的比较，揭示了RSM湍流模型能够预测由湍流各向异性引起的二次流。为了识别转角涡流，采用涡流识别方法Liutex来提取涡流结构及其核心。结果表明，方管中角涡的空间发展分为两个阶段：线性增长阶段和稳定维持阶段。而且，涡旋的传播受到边界层和横截面尺寸的限制。对于方管，角涡在垂直于最近壁的方向上的传播首先稳定。