Abstract: Turbulent Taylor vortex flow,which is contained between the rotating inner cylinder and the concentric fixed outer cylinder with the fixed ends,is simulated out by applying the development in Reynolds stress equations mold(RSM) of the micro disturbing resulted from the error between the numerical solution and exact solution of the Reynolds stress equations.On the base of the numerical simulation result of turbulent vortex flow,the characteristics of Taylor vortex,such as the fluctuation and precipitous drop of azimuthal velocity,jet flow of radial velocity,periodicity of axial velocity,wave periodicity of pressure distribution,polarization of shear stress on the walls and intensive turbulence in jet region,are discoursed.Comparing the pilot results measured by the predecessors,the relative error of characteristics predicted by simulation is less than 30%.