Abstract: Transition is a chief obstacle for high-accuracy prediction of drag. The γ-θ transition model proposed by Menter and Langtry increases the adaptability by inducing vorticity Reynolds number and intermittency factor, but there are lots of empirical formulae that cannot be told the lodgments of theory. The dissipation term of kinetic energy can be sufficiently constructed with the first and second order correlations of velocity. Transition phenomena can be caught by adding some dissipation terms into the turbulent kinetic energy equation. The method is tested by a natural transition and two bypass transition test cases. The results approve that this method can be applied in engineering turbulence flows simulation.