Incentives for simulating flow patterns and heat transfer in glass mel
ting furnaces are discussed, and model idealizations, input data needs
and desired outputs are reviewed. Current three-dimensional mathemati
cal models for simulating now and heat transfer processes in grass mel
ting furnaces are summarized and some sample results for flow and ther
mal structures are presented. Advantages and disadvantages of physical
and mathematical modeling of glass melting furnaces are compared. Dat
a needed to resolve some remaining technical issues are identified. Cl
osing remarks are included on some remaining challenges, such as effec
tive presentation of the immense amount of computer-generated data for
the furnace designer/operator and interpretation of the results for t
he purpose of improving glass quality and productivity.