LARGE-SCALE NUMERICAL-ANALYSIS OF MATERIALS PROCESSING SYSTEMS - HIGH-TEMPERATURE CRYSTAL-GROWTH AND MOLTEN GLASS FLOWS

We present Galerkin finite element computations of heat transfer and f luid dynamics in high-temperature materials processing systems. Exampl es are presented of how large-scale numerical simulations have been us ed to gain insight into the workings of several processes, specificall y the growth of large, single crystals and the flow characteristics of molten glass. These systems are characterized by nonlinear interactio ns between field and interfacial phenomena-the transport of momentum, heat and mass and effects of solidification and capillarity. Additiona l complications are caused by the effects of internal radiative energy transport within participating media (internal radiation).