This paper reviews significant advances in the mathematical modeling of flow and heat transfer phenomena in glass furnaces during the period 1996-2000. It describes developments in both the fundamental, scientific and practical aspects of modeling. The topics reviewed include developments in (a) model formulation and modeling techniques; (b) postprocessing modeling of glass quality and environmental emissions; (c) measurement of thermodynamic and transport properties of melt relevant to modeling; and (d) incorporation of model-based knowledge into process control schemes. These developments are critically examined and assessed from an industrial perspective, and topics needing further research and development efforts are identified.