Abstract
The three-dimensional time dependent compressible Navier-Stokes equations are numerically solved to study transition mechanism in transonic and supersonic channel flows at Mach numbers of 0.75 and 2, respectively. High-order compact schemes of 5th order are used for spatial derivatives and a 4th order Runge-Kutta scheme is employed for time advancement. The inlet flow of the channel is forced randomly. The results show that the transonic flow becomes turbulent sooner than the supersonic flow. The numerical results provide new physical insights into generation mechanisms of three-dimensional structures near the walls and development of the turbulent spot.
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