Get a Guillotine-type seal for the bottom of the door. Available at HD or ACE. They come housed in brass, alum. paint etc. They attach to the bottom edge of the door. When you close the door, a seal strip drops down to the floor to seal the gap. As soon as you open the door, the strip lifts up to allow the door to swing freely.
You should probably use some kind of gasket (I recommend felt) around the other three sides of the door.
You should probably use some kind of gasket (I recommend felt) around the other three sides of the door.