The k-ω turbulence model for predicting turbulence transition at a local Reynolds number lower than that observed in experiments.Wilcox suggested an approach to predict transition through modifying the viscosity in the ω equation with five more closure coefficients

but the approach maded the model too complicated.Here we introduce only one simple parameter to improve the model.An inequality is proposed to set a lower limit for the specific dissipation.In order to make the Navier-Stokes equations and k-ω equations strongly coupled

a staggered finite volume scheme for discretizing the N-S equations and the k-ω model equations has been developed.The algorithm was tested for a flat plate flow.Computational results shows that the present improvement of the k-ω turbulence model to control the transition position is effective.