The N-S equations aren't just used in Meteorology, they are absolutely the backbone of Meteorology. Most of the equations used in Meteorology are derived in some form from the N-S equations, with various simplifying assumptions for a given situation. In fact, I can't really think of an area of study in Meteorology that doesn't derive its functional equations at least in part from the N-S equation set.
And, yes, Fortran is awesome, and rumors of its death are greatly exaggerated. Pretty much every single NWP model out there is written largely in Fortran, and I don't see this changing anytime soon.