You have the bubble model - Mainly VPM or RGB (Based off VPM) or ZHL (Made by Buhlman)
PADI - Use Spencer model for compartments but have no deco and thus no bubble model
Just a couple of factual corrections...Buhlmann and bubble model don't go together. Buhlmann is a traditional dissolved gas model.
Also not being designed for deco has nothing to do with not being or having a bubble model.
Bubble models describe dual phase characteristics...dissolved gas and free phase (bubbles).
Traditional models (Haldane/Buhlmann) only describe dissolved gas characteristics.