For those with access to AIAA ARC, there's a good article on the design of the F-16 CFT:

C. Ciancarelli and K. Dorsett. "Optimizing the F-16 Conformal Fuel Tank using Design of Experiments", 18th Applied Aerodynamics Conference, Fluid Dynamics and Co-located Conferences, http://dx.doi.org/10.2514/6.2000-4522

The CFTs were designed to minimize the difference in flying qualities and performance to the basic non-CFT F-16. Stability-axis directional stability is maximized at high AOA to prevent departures.

I don't know if there's any public information about the CFT vortex flow.

There's another paper on the effect of the gun on the CFTs:

Eric Charlton and Atlee Cunningham. "F-16 CFT Design for Gunfire with CFD", 21st AIAA Applied Aerodynamics Conference, Fluid Dynamics and Co-located Conferences, http://dx.doi.org/10.2514/6.2003-3677