A PARALLEL ALGORITHM FOR MULTIZONE, MULTIPHASE SYSTEMS WITH APPLICATION TO CRYSTAL-GROWTH

Materials processing systems, such as the Czochralski crystal growth s ystem, are often characterized by the presence of a number of distinct materials and phases with significantly different thermophysical and transport properties. They may also contain irregular boundaries, movi ng interfaces and free surfaces. The understanding of the complex tran sport phenomena in these systems is of vital importance for the design and fabrication of equipment and the optimization and control of the manufacturing process. High-performance, high-resolution numerical sim ulation can prove to be an effective tool for the understanding of the se transport mechanisms. Massively parallel computers promise to deliv er the extensive computer resources required by these simulations. Thi s paper presents a parallel implementation of a high-resolution numeri cal scheme which has been developed to simulate the Czochralski crysta l growth processes. The scheme employs adaptive grid generation and cu rvilinear finite volume discretization to solve the transport equation s in a domain with complex geometries. Selected results are presented to demonstrate the feasibility and potential of introducing parallel c omputations into crystal growth process modeling and simulation.