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

doi:10.1063/1.2751913

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

Chemical Engineering and Materials Science

Research output: Contribution to journal › Conference article › peer-review

9 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 language	English (US)
Pages (from-to)	139-158
Number of pages	20
Journal	AIP Conference Proceedings
Volume	916
DOIs	https://doi.org/10.1063/1.2751913
State	Published - 2007
Event	13th International Summer School on Crystal Growth - Park City, UT, United States Duration: Aug 5 2007 → Aug 11 2007

Keywords

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

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title = "Large-scale numerical modeling of melt and solution crystal growth",

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.",

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AU - Derby, Jeffrey J

AU - Chelikowsky, James R.

AU - Sinno, Talid

AU - Dai, Bing

AU - Kwon, Yong Il

AU - Lun, Lisa

AU - Pandy, Arun

AU - Yeckel, Andrew

PY - 2007

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N2 - 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.

AB - 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.

KW - Atomistic models

KW - Continuum transport

KW - Defect dynamics

KW - Fluid mechanics

KW - Heat transfer

KW - Morphological instability

KW - Segregation

KW - Solidification

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EP - 158

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JF - AIP Conference Proceedings

T2 - 13th International Summer School on Crystal Growth

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ER -

Large-scale numerical modeling of melt and solution crystal growth

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Keywords

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