For a thorough analysis, you'd likely need a
Computational fluid dynamics model of your living space.
As that's unlikely, perhaps a somewhat simpler approach would suffice:
1) Are you comfortable with the current orientation?
Yes> It ain't broke, don't fix it.
No> Flip the vent directions.
2) Go back to #1
Having the coldest air sweeping across the warmest part of the house (the outside walls) is likely to cause more heat ingress than if the room air near the walls is warmer. How your comfort is affected may or may not lead to a different conclusion.