2D transonic flow in a channel of variable cross-section with a central body is studied numerically using a solvers based on the Euler and Reynolds-averaged Navier-Stokes equations. The flow velocity is supersonic at the inlet and outlet of the channel. Between the supersonic regions, there is a local subsonic region. Computations reveal a hysteresis in the shock position versus the inflow Mach number. In the certain range of inlet Mach numbers there are asymmetrical solutions of the equations.