A new formulation of vorticity confinement has been developed for compressible flow and has been implemented in the OVERFLOW-2 flow solver. The new implementation is based on a scaling of the local vorticity vector by a harmonic function, and is fully conservative in mass, momentum, and energy. The use of the vorticity confinement model allows viscous effects to be modeled on relatively coarse grids (i.e., grids suitable for inviscid computations). The OVERFLOW-2 implementation has been applied to missile flows, for the calculation of forces and moments, base drag, and wake flows. Results are compared to tunnel measurements for a representative missile configuration.