Numerical study of three-dimensional instabilities in a hydrodynamic model of Czochralski growth

Alexander Gelfgat; A. Rubinov; P. Z. Bar-Yoseph; A. Solan

doi:10.1016/j.jcrysgro.2004.10.116

Numerical study of three-dimensional instabilities in a hydrodynamic model of Czochralski growth

Alexander Gelfgat, A. Rubinov, P. Z. Bar-Yoseph, A. Solan

School of Mechanical Engineering

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

Abstract

A computational approach to the study of three-dimensional instabilities of flows in a Czochralski crucible is proposed. The flow is driven by buoyancy, thermocapillarity and rotation of the crystal and the crucible. The thermal boundary conditions account for the prescribed temperatures or heat flux, as well as convective and radiative heating or cooling of the boundaries. The numerical approach is based on finite volume discretization and consists of a Newton-type solver for the calculation of the steady flow states and an Arnoldi solver for the solution of the eigenvalue problems associated with the linear stability of the flow. Preliminary test calculations and examples of stability studies for the Czochralski melt flow are reported.

Original language	English
Pages (from-to)	e7-e13
Journal	Journal of Crystal Growth
Volume	275
Issue number	1-2
DOIs	https://doi.org/10.1016/j.jcrysgro.2004.10.116
State	Published - 15 Feb 2005

Keywords

A1. Computer simulation
A2. Czochralski method
Fluid flows
Instabilities

Access to Document

10.1016/j.jcrysgro.2004.10.116

Cite this

@article{c5386ddbbaed4ca48ddc21f9a85cb277,

title = "Numerical study of three-dimensional instabilities in a hydrodynamic model of Czochralski growth",

abstract = "A computational approach to the study of three-dimensional instabilities of flows in a Czochralski crucible is proposed. The flow is driven by buoyancy, thermocapillarity and rotation of the crystal and the crucible. The thermal boundary conditions account for the prescribed temperatures or heat flux, as well as convective and radiative heating or cooling of the boundaries. The numerical approach is based on finite volume discretization and consists of a Newton-type solver for the calculation of the steady flow states and an Arnoldi solver for the solution of the eigenvalue problems associated with the linear stability of the flow. Preliminary test calculations and examples of stability studies for the Czochralski melt flow are reported.",

keywords = "A1. Computer simulation, A2. Czochralski method, Fluid flows, Instabilities",

author = "Alexander Gelfgat and A. Rubinov and Bar-Yoseph, {P. Z.} and A. Solan",

year = "2005",

month = feb,

day = "15",

doi = "10.1016/j.jcrysgro.2004.10.116",

language = "אנגלית",

volume = "275",

pages = "e7--e13",

journal = "Journal of Crystal Growth",

issn = "0022-0248",

publisher = "Elsevier",

number = "1-2",

}

TY - JOUR

T1 - Numerical study of three-dimensional instabilities in a hydrodynamic model of Czochralski growth

AU - Gelfgat, Alexander

AU - Rubinov, A.

AU - Bar-Yoseph, P. Z.

AU - Solan, A.

PY - 2005/2/15

Y1 - 2005/2/15

N2 - A computational approach to the study of three-dimensional instabilities of flows in a Czochralski crucible is proposed. The flow is driven by buoyancy, thermocapillarity and rotation of the crystal and the crucible. The thermal boundary conditions account for the prescribed temperatures or heat flux, as well as convective and radiative heating or cooling of the boundaries. The numerical approach is based on finite volume discretization and consists of a Newton-type solver for the calculation of the steady flow states and an Arnoldi solver for the solution of the eigenvalue problems associated with the linear stability of the flow. Preliminary test calculations and examples of stability studies for the Czochralski melt flow are reported.

AB - A computational approach to the study of three-dimensional instabilities of flows in a Czochralski crucible is proposed. The flow is driven by buoyancy, thermocapillarity and rotation of the crystal and the crucible. The thermal boundary conditions account for the prescribed temperatures or heat flux, as well as convective and radiative heating or cooling of the boundaries. The numerical approach is based on finite volume discretization and consists of a Newton-type solver for the calculation of the steady flow states and an Arnoldi solver for the solution of the eigenvalue problems associated with the linear stability of the flow. Preliminary test calculations and examples of stability studies for the Czochralski melt flow are reported.

KW - A1. Computer simulation

KW - A2. Czochralski method

KW - Fluid flows

KW - Instabilities

UR - http://www.scopus.com/inward/record.url?scp=15844383818&partnerID=8YFLogxK

U2 - 10.1016/j.jcrysgro.2004.10.116

DO - 10.1016/j.jcrysgro.2004.10.116

M3 - מאמר מכנס

AN - SCOPUS:15844383818

VL - 275

SP - e7-e13

JO - Journal of Crystal Growth

JF - Journal of Crystal Growth

SN - 0022-0248

IS - 1-2

ER -

Numerical study of three-dimensional instabilities in a hydrodynamic model of Czochralski growth

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this