Abstract: This paper investigates the performance of a low diffusion E-CUSP（LDE） upwind scheme for compressible flow.The purpose is to use it in detached-eddy simulation（DES）.The widely used Roe scheme is employed to do the comparison.Euler equations and Reynolds averaged Navier-Stokes equations coupled with Spalart-Allmaras one equation turbulence model are taken as the governing equations.The fully implicit unfactored Gauss-Seidel line relaxation method is used for time marching.The numerical simulation show that LDE scheme can capture crisp shock waves accurately,and that both the results using LDE scheme and Roe scheme agree well with the experimental data.Compared with Roe scheme,LDE scheme has a faster speed of convergence.