Numerical simulation of the interaction of a Mach wave and a boundary layer on a flat plate

Using direct numerical simulation, a problem of the interaction of a Mach wave with a boundary layer on a flat plate, streamlined by a supersonic perfect gas flow at the Mach number $\rm M = 2.5$ is considered. The influence of the intensity of the incident Mach wave on the laminar-turbulent transition (LTT) is studied. It is shown that the incidence of a Mach wave with an amplitude of $5\%$, simulating the relative thickness of the roughness on the side wall of the wind tunnel, on the boundary layer leads to the formation of a turbulent wedge in the boundary layer on a flat plate.