Abstract: in this paper, an AUSM+ scheme in conjunction with the third-order MUSCL scheme is developed for the multidimensional hyperbolic conservation laws in curvilinear coordinates. The presentscheme combined with the Runge-Kutta scheme isapplied to Two-dimensional transonic and supersonic inviscid flow in the cascade built of two circulararc blades. The accuracy has been assessed by comparing the results with the other numerical resultsavailable in literature. The results given in this paper show that the present...