Abstract: It is found that a three or high order accurate high-resolution scheme may be more suitable for the correct prediction of turbulent flow field characteristics in the numerical analysis of three-dimensional turbulent shocked flo w in t ransonic compressor blade row.T he conver gence of the three-dimensional turbulent f low cal culation can be remarkably sped up by using the implicit LU-SG Salgo rithm,which is unconditionally stable.A detailed comparison between numerical solutions and experimental data indicates that their agreement is quite satisfactory.