Departmental Papers (CBE)

Document Type

Conference Paper

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.


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


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.