Abstract: In order to make numerical simulations using DetachedEddy Simulation (DES) hybrid method, a thirdorder hybrid scheme has been proposed on the basis of the traditional thirdorder upwindbiased scheme. The dissipation of the new hybrid scheme can be adjusted in moderate and higher band of the scaled wave number. Based on the aforementioned works, comparative numerical studies have been made on two RANS/LES hybrid methods, i. e., DESSA based on the SA turbulent model and DESML based on the mixing length model. The computations choose the lowspeed flow around threedimensional cylinder as an example, while using several difference schemes including the developed thirdorder scheme. Comparisons have been made between the obtained results and that from references, and discussions have been made about the new hybrid scheme and DESML method also.