Results of numeric simulation and experimental investigation of gas dynamic processes in non-stationary interaction of gas dynamic discontinuity created by MW discharge in front of a blunt body in supersonic flow are presented. Two types of energy deposition - quasi-static and explosive - are modeled. Interaction mechanism via vortex formation in a shock layer is very efficient. For this mechanism calculations found out the scaling laws of interaction intensity and efficiency of quasi-static discontinuity (density well) over it length, width, "depth" and Mach number. The movie with time step of several microseconds of discharge domain drift and interaction with the shock layer in a weak chemilummescent emission is obtained. The efficiency of EM energy concentration, it's coupling with gas and plasma and air heating is analyzed. Attaining of the discharge phase when thin channel is formed is beneficial both for deliberating of energy stored in vibrational degrees of freedom and for launching of flow structuring in shock layer followed by the efficient drag reduction.