Finite Element Modeling of 3D Fluid Dynamics in Crystal Growth Systems

Jeffrey J. Derby; Yong Il Kwon; J. Carlos Rojo; Bhushan Vartak; Andrew Yeckel

doi:10.1080/10618569908940827

Finite Element Modeling of 3D Fluid Dynamics in Crystal Growth Systems

Jeffrey J. Derby, Yong Il Kwon, J. Carlos Rojo, Bhushan Vartak, Andrew Yeckel

Chemical Engineering and Materials Science

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

We describe massively parallel finite element computations of fluid dynamics for several crystal growth systems. Examples are presented of how large-scale numerical simulations have been used to gain insights to the workings of several processes, specifically the melt growth of oxide crystals by the Czochralski process and the solution growth of nonlinear optical crystals. These systems are characterized by nonlinear interactions between field and interfacial phenomena - the transport of momentum, heat, and mass coupled with solidification kinetics. Modern finite element methods show great potential to provide the understanding needed to optimize these processes.

Original language	English (US)
Pages (from-to)	225-240
Number of pages	16
Journal	International Journal of Computational Fluid Dynamics
Volume	12
Issue number	3-4
DOIs	https://doi.org/10.1080/10618569908940827
State	Published - 1999

Bibliographical note

Funding Information:
This work was supported in part by the US National Science Foundation and by the Army

Keywords

Crystal growth
Finite element model
Fluid mechanics
Heat transfer
Mass transfer

Access

10.1080/10618569908940827

OpenUrl availability

Full text

Cite this

@article{3286c70708b34d56b8ba3e3a5f57e0db,

title = "Finite Element Modeling of 3D Fluid Dynamics in Crystal Growth Systems",

abstract = "We describe massively parallel finite element computations of fluid dynamics for several crystal growth systems. Examples are presented of how large-scale numerical simulations have been used to gain insights to the workings of several processes, specifically the melt growth of oxide crystals by the Czochralski process and the solution growth of nonlinear optical crystals. These systems are characterized by nonlinear interactions between field and interfacial phenomena - the transport of momentum, heat, and mass coupled with solidification kinetics. Modern finite element methods show great potential to provide the understanding needed to optimize these processes.",

keywords = "Crystal growth, Finite element model, Fluid mechanics, Heat transfer, Mass transfer",

author = "Derby, {Jeffrey J.} and Kwon, {Yong Il} and Rojo, {J. Carlos} and Bhushan Vartak and Andrew Yeckel",

note = "Funding Information: This work was supported in part by the US National Science Foundation and by the Army",

year = "1999",

doi = "10.1080/10618569908940827",

language = "English (US)",

volume = "12",

pages = "225--240",

journal = "International Journal of Computational Fluid Dynamics",

issn = "1061-8562",

publisher = "Taylor and Francis Ltd.",

number = "3-4",

}

TY - JOUR

T1 - Finite Element Modeling of 3D Fluid Dynamics in Crystal Growth Systems

AU - Derby, Jeffrey J.

AU - Kwon, Yong Il

AU - Rojo, J. Carlos

AU - Vartak, Bhushan

AU - Yeckel, Andrew

N1 - Funding Information: This work was supported in part by the US National Science Foundation and by the Army

PY - 1999

Y1 - 1999

N2 - We describe massively parallel finite element computations of fluid dynamics for several crystal growth systems. Examples are presented of how large-scale numerical simulations have been used to gain insights to the workings of several processes, specifically the melt growth of oxide crystals by the Czochralski process and the solution growth of nonlinear optical crystals. These systems are characterized by nonlinear interactions between field and interfacial phenomena - the transport of momentum, heat, and mass coupled with solidification kinetics. Modern finite element methods show great potential to provide the understanding needed to optimize these processes.

AB - We describe massively parallel finite element computations of fluid dynamics for several crystal growth systems. Examples are presented of how large-scale numerical simulations have been used to gain insights to the workings of several processes, specifically the melt growth of oxide crystals by the Czochralski process and the solution growth of nonlinear optical crystals. These systems are characterized by nonlinear interactions between field and interfacial phenomena - the transport of momentum, heat, and mass coupled with solidification kinetics. Modern finite element methods show great potential to provide the understanding needed to optimize these processes.

KW - Crystal growth

KW - Finite element model

KW - Fluid mechanics

KW - Heat transfer

KW - Mass transfer

UR - http://www.scopus.com/inward/record.url?scp=0033267051&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0033267051&partnerID=8YFLogxK

U2 - 10.1080/10618569908940827

DO - 10.1080/10618569908940827

M3 - Article

AN - SCOPUS:0033267051

SN - 1061-8562

VL - 12

SP - 225

EP - 240

JO - International Journal of Computational Fluid Dynamics

JF - International Journal of Computational Fluid Dynamics

IS - 3-4

ER -

Finite Element Modeling of 3D Fluid Dynamics in Crystal Growth Systems

Abstract

Bibliographical note

Keywords

Access

OpenUrl availability

Other files and links

Fingerprint

Cite this