This paper aims to further explore flow structure, shock waves' boundary layer interaction in supersonic inlets, and to analyze the details of the differences in supersonic flow field simulation between various turbulence models. For a typical binary mixed-compression inlet, the paper adopts the three common models of RANS SA, DES, and LES for detailed two-dimensional numerical simulation. The results show that shock waves, shock wave reflection, generation of boundary layer, boundary layer separation caused by shock wave boundary layer interaction, and flow field structure are complex in the inlet. In terms of the turbulence models, all three models can effectively predict shock waves, boundary layer thickness, shock wave boundary layer interaction, and the position and size of separation bubble, and can also visualize variation trends of various aerodynamic parameters in flow field. On this basis, contours of DES fully demonstrate hybrid RANS-LES characteristics, which is consistent with the theoretical basis of the model. In the LES model's results, the vortex structure's formation, development and shedding processes are quite clear. LES also has distinct advantages in terms of its ability to capture flow field details.