This study investigates the formation of turbulent structures resulting from shock-wave diffraction phenomena over a \(45^\circ \) convex corner at an incident Mach number of \(M_s=1.5\) using 3D large-eddy simulations (LES). When the diffraction angle is less than \(90^\circ \) , the advection velocity is insufficient to destabilize the boundary layer formed along the vertical corner wall, thereby preventing the occurrence of the secondary near-wall instability. Following the work by Soni et al. (Phys. Fluids 31:8, [1]), which examined the evolution of both primary and secondary vortices over a \(90^\circ \) convex corner, this study aims to enhance our understanding of the primary vortex behavior formed by the curved mixing layer in the absence of the secondary vortex. By comparing the findings with the results of Soni et al. (Phys. Fluids 31:8, [1]), this study provides insights into the specific role played by secondary instabilities in generating acoustic waves and their influence on the excitation and early transition to turbulence of the main vortex core.