By using the arc discharge, the oblique shock wave is induced in a position of the convergent-divergent inlet, making the supersonic airflow in the diffuser deflect after passed through the oblique shock, which produced thrust vector. On the bases of existing mathematical model of the coupling of arc discharge and supersonic flow field, numerical simulation on the factors of discharge area, temperature, position, and nozzle pressure drop those affect the flow deflection has been performed under the flow Mach number 1.5. The preliminary experimental on arc discharge inducing jet flow deflection verifies the feasibility of the plan, and the correctness of the mathematic model，the result of the numerical simulation lays the theoretical basis for the subsequent experiment research.