Due to the difficulty in treating jet behavior, a general agreement on the sound production of flue instruments has not yet been obtained. This paper discusses three jet deflection models proposed by several authors by means of the time-domain approach. Simulations of an organ flue pipe where the blowing pressure is changed as a parameter are carried out. These models in common provide oscillations in the fundamental pipe resonance mode and in the higher modes (overblows). They also provide the underblow regimes of oscillation when the blowing pressure is lower. Differences among the models appear in the number of the underblow regimes and in the levels of harmonics of oscillations. Transition among the oscillation modes would also be a clue to compare the models. The results should be compared with an experiment of the artificial blowing of a pipe in the wide range of blowing pressure, which is in progress.