Large-scale numerical modeling of melt and solution crystal growth

Jeffrey J Derby, James R. Chelikowsky, Talid Sinno, Bing Dai, Yong Il Kwon, Lisa Lun, Arun Pandy, Andrew Yeckel

Research output: Contribution to journalConference article

7 Scopus citations

Abstract

We present an overview of mathematical models and their large-scale numerical solution for simulating different phenomena and scales in melt and solution crystal growth. Samples of both classical analyses and state-of-the-art computations are presented. It is argued that the fundamental multi-scale nature of crystal growth precludes any one approach for modeling, rather successful crystal growth modeling relies on an artful blend of rigor and practicality.

Original languageEnglish (US)
Pages (from-to)139-158
Number of pages20
JournalAIP Conference Proceedings
Volume916
DOIs
StatePublished - 2007
Event13th International Summer School on Crystal Growth - Park City, UT, United States
Duration: Aug 5 2007Aug 11 2007

Keywords

  • Atomistic models
  • Continuum transport
  • Defect dynamics
  • Fluid mechanics
  • Heat transfer
  • Morphological instability
  • Segregation
  • Solidification

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    Derby, J. J., Chelikowsky, J. R., Sinno, T., Dai, B., Kwon, Y. I., Lun, L., Pandy, A., & Yeckel, A. (2007). Large-scale numerical modeling of melt and solution crystal growth. AIP Conference Proceedings, 916, 139-158. https://doi.org/10.1063/1.2751913