We study numerically 2D and 3D turbulent air flow in convergentdivergent channels with centerbodies whose profile is a double wedge, thin
plate, or smooth circular-arc airfoil. Diverse flow regimes in the channels
at supersonic free-stream velocities are revealed and discussed. Solutions
of the unsteady Reynolds-averaged Navier-Stokes equations are obtained
with a few finite-volume solvers. Mach number bands, in which there exist
flow hysteresis and asymmetric flow fields at the vanishing angle of attack,
are determined.