The cavitation regime can be observed in some working conditions of turbomachines. The phase transition, which appears on the blades, is the source of high dynamic forces, noise and can lead to the intensive erosion of the blade surfaces. The need to control this process and to prevent or reduce the undesirable effects in many applications can be fulfilled by the application of the non-condensable gases to the liquid. The presence of air in the water flow over the hydrofoil is investigated. The examined foil is Clark Y 11.7% placed at the angle of attack of 8 deg. The flow simulations are performed with the assumption of different models. The Singhal cavitation model and the models which resolve the non-condensable gas are implemented in the numerical model. The calculations are performed with the uRANS model with the assumption of the constant temperature of the mixture. The two-phase flow is simulated with a mixture model. The calculated dynamics and shape of cavitation structures were compared with literature data and with in-house experimental results obtained using a high-speed camera.