I want to be expert to understand physics behind whirlpool, tornado, hurricane. Which topics are needed for this?
I have a masters in meteorology so I think I can point you in the right direction. First question though: how comfortable are you with math? All of the things you listed involve an immense amount of math to fully understand. Whirlpools are something you would study in fluid dynamics, tornadoes you would study in mesoscale meteorology and hurricanes in synoptic meteorology. So first up: