Reynolds averaged Navier-Stokes calculations have been performed for a U.S. Air Force Research Laboratory/ Aerospace Propulsion Of ce scramjet combustor designed for Mach 4.0-6.5 ight. The combustor owpath is unique in that it is entirely free of ow obstructions with fuel injection from wall-mounted injection ports and ameholding established by means of a recessed cavity. Calculations were performed at the minimum (Mach 4.0) and maximum(Mach 6.5) ight design conditions. The combustor operated in dual mode at the Mach 4.0 condition. The precombustion shock train formed a region of low-momentum/separated ow adjacent to the combustor side wall. This proved to be a primary source of ameholding, with the recessed cavity adding additional ameholding support. The ow was not thermally choked at the Mach 6.5 condition, resulting in very little upstream interaction. The mixing process at the Mach 4.0 ight condition was considerably more ef cient than that seen at the Mach 6.5 condition, due primarily to the shock-induced ow distortion and larger residence time. Even with the reduced mixing levels predicted at the Mach 6.5 condition, the combustion ef ciency was comparable to that achieved at the Mach 4.0 condition. The solutions obtained for dual-mode operation were particularly sensitive to choice of turbulence model and values speci ed for the turbulent Prandtl and Schmidt numbers. Overall, the solution sensitivity to grid resolution was small relative to the solution sensitivity to modeling uncertainties.