Abstract: In this paper, two-dimensional (axial symmetry) supersonic plasma jets are studied by numerical simulation. The work is for the case of turbulent flow on the hypothesis of LTE (Local Thermodynamic Equilibrium), and temperature-dependent plasma properties and viscous dissipation are involved. The Naveir-Stocks equation is adopted as governing equation of plasma jets and κ-ε equation for turbulent. The simulation method is based on SIMPLER algorithm. By incorporating density correction into the continuity equation, two new pressure correction, P＇ equation and P＂ equations are obtained for compressible flow. P＇ equation is used to update the existing pressure and density fields, and the P＂ equation is used to correct the velocity field to ensure continuity of mass. These results are expected to be useful in further study of supersonic plasma jet under normal pressure.