Large-Scale Numerical Modeling of Melt and Solution Crystal Growth
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heat transfer
fluid mechanics
atomistic models
defect dynamics
segregation
morphological instability
solidification
Chemical Engineering
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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.
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J.J. Derby et al. Large-Scale Numerical Modeling of Melt and Solution Crystal Growth. In Perspectives on Inorganic, Organic, and Biological Crystal Growth: From Fundamentals to Applications, 13th International Summer School on Crystal Growth Eds. M. Skowronski, J. J. DeYoreo, and C. A. Wang. (2007). © 2007 American Institute of Physics