Abstract: In this paper, a modified scheme is developed, which can be used for calculation of axisymmetric fluid flow. A set of Euler equations of generalized Rieman variable is derived and solved by two step upwind scheme. The convergence is good because of the consideration of dependent domain of information. Because of using only one point except the unknown one, this scheme is simple and coding is easy. As a example, this scheme has been used for the inviscid subsonic-supersonic flow around blunt bodies at supersonic speeds, the merits of this scheme is demonstrated by these numerical experiments.