The possibility to apply a simplified 2D, model for heat transfer calculations in crystal growth by the axial heat close to phase interface (AHP) method is discussed in this paper.A comparison with global heat transfer calculations with the CGSim software was performed to confirm the accuracy of this model. The simplified model was shown to provide adequate results for the shape of the melt-crystal interface and temperature field in an opaque (Ge) and a transparent crystal (CsI:Tl). The model proposed is used for identification of the growth setup as a control object, for synthesis of a digital controller (PID controller at the present stage) and, finally, in on-line simulations of crystal growth control. (c) 2007 Elsevier B.V. All rights reserved.