I had to dust off the covers of one of my old herbal books, Frilly. It turns out it is hardy to zone 3 so will be a perennial in your area. However, it is also stated that " given fertile soil and sun it will require little care. ...dies back to the ground in winter, returns bigger and stronger but growth tapers off after four years and the plants "hold their own".
Sounds like once established you may have your ongoing celery needs. As for me, I grew mine as an annual and harvested it at only 2 feet tall. I guess it never returned because it was in my veggie garden area which got tilled/plowed back in those day.
HTH.
Shoe
