A comprehensive numerical study was carried out to identify the on-set condition of the cell structures of oblique detonation waves (ODWs). Mach 7 incoming flow was considered with all other flow variables were fixed except the flow turning angles varying from 35° to 38°. For a given flow conditions theoretical maximum turning angle is 38.2° where the oblique detonation wave may be stabilized. The effects of grid resolution were tested using grids from 255×100 to 4,005×1,600. The numerical smoked foil records exhibits the detonation cell structures with dual triple points running opposite directions for the 36° to 38° turning angles. As the turning angle get closer to the maximum angle the cell structures gets finer and the oscillatory behavior of the primary triple point was observed. The thermal occlusion behind the oblique detonation wave was observed for the 38° turning angle.