The combination of SLIP scheme and LU-SSOR method is used to predict the steady-state aerodynamics of trans-sonic ogive dispenser at Mach number 0.94 to 0.98; and the modified B-L turbulence model is applied in solving axisymmetric Navier-Stokes equation. Computed surface pressures of dispenser without cave have been compared with experiments as well as Sahu's numerical results and are found to be in good agreement; The results of cavity flow are also found to be reasonable.