Abstract: The three-demensional turbulent flow in a stirred vessel driven by a Rushton turbine was simulated by using the anisotropic differential Reynolds stress model (RSM).The effect of the turbulent model, modeling approach and discretization scheme on mean velocities and turbulent kinetic energy was investigated.The RSM was found to give vortex structure and positions near the blade reasonably.The two peak distribution of turbulent intensity near the blade tip could be effectively reflected by both the RSM and the anisotropic k-ε model;however the predicted results of velocity fluctuations by the RSM and the sliding mesh approach showed better agreement with the reported experimental data than by the anisotropic k-ε model and the multiple reference frames(MRF)approach, and the simulated turbulent kinetic energy was still under-predicted by the RSM.The simulated results validated by reported experimental data showed that the prediction ability for turbulent flow by the QUICK scheme approached second-order upwind scheme’s ability and both of them were better than first-order precision schemes.