Abstract: In this paper, numerical simulation results of turbulent supercavitating flow were presented, which were using the Navier-Stokes equations with two equations' turbulence model and the developed Kubota cavity model. To assess our numerical method, several cavitating flows over the hydrofoil were computed and the numerical results were compared with experimental results. It shows that the numerical results by the present cavity model agreed with the experimental results very well. Then, the wonderful phenomenons of cavitating and supercavitating flows around the NACA0015 hydrofoil and an axisymmetric body were displayed.