Date of this Version
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.
Continuum transport, heat transfer, fluid mechanics, atomistic models, defect dynamics, segregation, morphological instability, solidification
Date Posted: 11 May 2011
This document has been peer reviewed.