Abstract
The first fully three-dimensional solution flow and solute transport simulations are performed to model the potassium titanyl phosphate (KTP) growth system of Bordui et al. Steady flows and supersaturation fields for two crystal mounting geometries are computed using a stabilized finite element method implemented on a data-parallel supercomputer. Our results present a mechanistic picture of solute transport which is consistent with inclusion formation patterns obtained in experiments. The simulations also explain beneficial outcomes, in terms of better global mixing and more uniform surface supersaturation, observed for a crystal mounting geometry which strongly breaks cylindrical symmetry in the system.
Original language | English (US) |
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Pages (from-to) | 704-718 |
Number of pages | 15 |
Journal | Journal of Crystal Growth |
Volume | 210 |
Issue number | 4 |
DOIs | |
State | Published - Mar 2000 |
Bibliographical note
Funding Information:This work was supported in part by the National Science Foundation grant CTS-9713044 and the University of Minnesota Army High-Performance Computing Research Center under the auspices of the Department of the Army, Army Research Laboratory cooperative agreement DAAH04-95-2-0003/contract DAAH04-95-C-0008, the content of which does not necessarily reflect the position or policy of the government, and no official endorsement should be inferred. Additional computational resources were provided by the University of Minnesota Supercomputer Institute. The authors gratefully acknowledge Dr. Peter F. Bordui for significant technical discussions and for providing us with one of his physical models of a KTP crystal used in Refs. [10,11] , which proved invaluable for 3-D mesh construction.