You won't find a controller file for it, and there isn't a list of joysticks, because it's a driving simulation.
However, being that a joystick has axes and buttons the same as a wheel does, it should be possible to configure it manually by selecting the appropriate controls in Settings -> Controls and moving the stick as needed. As long as it works in the windows controller properties (and it very likely does, if you used it for the demo) it should be fine.