Use 'simmer down' when someone is overly emotional and you want them to calm their feelings. You're really upset now, try to simmer down and we'll talk.
Pro Tip 2/3
Informal Setting
'Simmer down' is casual and might not be suitable for very formal or serious situations. The kids were giggling during the game and the coach said, 'simmer down, team!'
Pro Tip 3/3
Avoid Patronizing
Be careful not to sound condescending when telling someone to 'simmer down'. I didn't mean to patronize when I said simmer down; I was just concerned.