SIMULATION OF CZOCHRALSKI MELT FLOWS USING PARALLEL ADAPTIVE FINITE-ELEMENT PROCEDURES

Simulation of steady-state and transient melt flows in a Czochralski ( CZ) crystal growth process is performed. To this end, a new three-dime nsional finite element scheme is developed, that is based on a Galerki n least-squares (GLS) space-time variational formulation, with capabil ities which include general unstructured mesh generation, automatic ad aptive mesh refinement and coarsening, and parallel implementation wit h automatic load-balancing. Numerical results are obtained for flows i n silicon and indium phosphide (InP) melts, with or without a viscous encapsulant, in crucibles with a flat or curved bottom. The effects of natural convection due to buoyancy, forced convection due to crystal and crucible rotations, and their combination, are considered.