In this work, unsteady laminar and turbulent supersonic flows of a discharged projectile from a tube have been numerically simulated. The equations of axisymmetric viscous compressible flow has been computed by Van Leer flux vector splitting method, using time and space second order accuracy and moving boundary considerations.When a projectile is discharged from a tube, a complicated flow in its front and back is created which this flow includes expansion and shock waves. Complicated intractions between these waves make the analysis of this flow very difficult. The numerical simulation predicts expansion wave, bow shock wave in front of projectile, barrel shock wave, Mach disk, vortex ring, and shear layer. Results show that, there are not many differences between the laminar and turbulent flow arrangements, but the aerodynamic forces are different. The variation of acceleration and aerodynamic forces, when projectile is discharging from a tube, due to more intractions between the expansion and shock waves, is large and causes vibration of the projectile and change in its path. When projectile starts to discharge from a tube, the acceleration will be maximum, but when discharges entirely from tube, the resistant force are increased and the acceleration is decreased.