Abstract: In this work, we Calculated numerically odiabatic expansion profile of ideal gas explosion product in homogeneous, Stationary and highpressure conditions for plane, Cylindrical and spherical symmetry without pseudo-viscosity method by treating the discontinuities as the boundaries of the flow region. We gave various discontinuities paths and the flow field parameters, and examined the effect of the geometrical convergingdiverging term in the continuum equation by Comparing the results computed in the three cases.