Large-Scale Numerical Modeling of Melt and Solution Crystal Growth

Authors: Andrew Yeckel, Arun Pandy, Bing Dai, James R. Chelikowsky, Jeffrey J. Derby, Lisa Lun, Talid Sinno, Yong-Il Kwon
Publication Date: June 14, 2007
Journal: AIP Conference Proceedings

Citation: J. J. Derby, J. R. Chelikowski, T. Sinno, B. Dai, Y. Kwon, L. Lun, A. Pandy, and A. Yeckel, Large-Scale Numerical Modeling of Melt and Solution Crystal Growth, 13th Inter. Summer School on Crystal Growth, AIP Conf. Proc. 916 (2007) 139-158.

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.