If you have acceptable outside air, and quiet surroundings, and you have both low openings and high openings, you can get natural convection flows that move a good amount of air without much noise. Double hung windows are pretty good for this; you can open the bottom and the top of a single window and get air movement from that. Even better if you have windows on different sides of the room, open the top on one side and the bottom on the other. Typically inside air will escape the top window(s) and be replaced by outside air coming in the bottom window(s), and the moving air at the windows will tend to encourage air movement throughout the room. In a multi-story building with free air movement between floors, you can open windows on the top and bottom floors and get something similar. If that's not enough, using a fan to increase exiting air flow should help.