A novel, massively parallel implementation of the Galerkin finite element method is used to study three-dimensional, time-dependent flows which occur during the rapid growth of potassium dihydrogen phosphate crystals from solution in a system employed by researchers at Lawrence Livermore National Laboratory. Computations for the hydrodynamics of system spin up and steady rotation indicate the importance of time-dependent flow phenomena and emphasize the significant role played by the support and crystal geometry in forming the complicated flows in this system. Predicted flow structures correlate well with experimental observations of inclusion formation.
Bibliographical noteFunding Information:
Part of this work was presented at the Second International Workshop on Modelling in Crystal Growth in Durbuy, Belgium, 13 16 October 1996; participation in this workshop was enabled by a grant from the National Science Foundation, Division of International Programs.
The authors wish to thank L.J. Atherton, J.J. DeYoreo, H. Robey, and N.P. Zaitseva of Lawrence Livermore National Laboratory for significant technical discussions pertaining to this research. This work was supported in part by the National Science Foundation, under grant CTS-9218842, and by the Lawrence Livermore National Laboratory. Computational resources were provided by the University of Minnesota Supercomputer Institute and the 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.
- Fluid flow
- Solution growth
- Three-dimensional modeling