Your assistance on word usage, please!

What would the right terminology be in America (Chicago, specifically) in recent times for the kind of cold storage that's room-sized...?

I'm writing about a very large 'freezer' in which bulk amounts of frozen food packages and boxes are stored on shelving, and there is room enough for people to walk about in. It is also cold enough to potentially kill someone via hypothermia over a period of an hour or more.

I'm guessing the terminology is something along the lines of meat locker (though frankly I don't want to be dealing with cold dead animals hanging about!), cold store, freezer... something like that.

What do you think...? All advice very much appreciated! ♥