No, PINNs are precisely what you do NOT want to use for this kind of thing, because you are trying to take shortcuts that mimic the physics without actually car

No, PINNs are precisely what you do NOT want to use for this kind of thing, because you are trying to take shortcuts that mimic the physics without actually caring about it being physically accurate (as long as it looks nice). Reading their approach, they are not actually using machine learning methods for solving fluid dynamics, but are using it for more efficient processing of boundary interactions.