| Author | D. Givoli, J. E. Flaherty and M. S. Shephard |
|---|---|
| Title | Simulation of Czochralski Melt Flows Using Parallel Adaptive Finite Element Procedures |
| Year | 1996 |
| Journal | Journal of Modeling & Simulation in Material Science & Engineering |
| Volume | 4(6) |
| Pages | 623-639 |
| Abstract | Simulation of steady-state and transient melt flows in a Czochralski (CZ) crystal growth process is performed. To this end, a new three-dimensional finite element scheme is developed, that is based on a Galerkin Least-Squares (GLS) space-time variational formulation, with capabilities which include general unstructured mesh generation, automatic adaptive mesh refinement and coarsening, and parallel implementation with automatic load-balancing. Numerical results are obtained for flows in 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. |
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