AGCM
Atmospheric General Circulation Model
General Circulation Models (GCM) refers to computer models that are used to simulate the movement of matter and energy in 3 dimensions throughout the various components of the climate system - Air, Sea, Land etc. AGCM refers to those models (or parts of models) that simulate the atmospheric part of this.
See here for a discussion.
Definition based on (revised from) IPCC AR4.
All IPCC definitions taken from Climate Change 2007: The Physical Science Basis. Working Group I Contribution to the Fourth Assessment Report of the Intergovernmental Panel on Climate Change, Annex I, Glossary, pp. 941-954. Cambridge University Press.