Please use this identifier to cite or link to this item: https://doi.org/10.1016/S0021-9991(03)00067-6
Title: Numerical investigation of flows in Czochralski crystal growth by an axisymmetric lattice Boltzmann method
Authors: Peng, Y.
Shu, C. 
Qiu, J.
Issue Date: 20-Mar-2003
Citation: Peng, Y., Shu, C., Qiu, J. (2003-03-20). Numerical investigation of flows in Czochralski crystal growth by an axisymmetric lattice Boltzmann method. Journal of Computational Physics 186 (1) : 295-307. ScholarBank@NUS Repository. https://doi.org/10.1016/S0021-9991(03)00067-6
Abstract: An alternative new method called lattice Boltzmann method (LBM) is applied in this work to simulate the flows in Czochralski crystal growth, which is one of the widely used prototypical systems for melt-crystal growth. The standard LBM can only be used in Cartesian coordinate system and we extend it to be applicable to this axisymmetric thermal flow problem, avoiding the use of three-dimensional LBM on Cartesian coordinate system. The extension is based on the following idea. By inserting position and time dependent source terms into the evolution equation of standard LBM, the continuity and NS equations on the cylindrical coordinate system [1] can be recovered. Our extension is validated by its application to the benchmark problem suggested by Wheeler [2]. © 2003 Elsevier Science B.V. All rights reserved.
Source Title: Journal of Computational Physics
URI: http://scholarbank.nus.edu.sg/handle/10635/60928
ISSN: 00219991
DOI: 10.1016/S0021-9991(03)00067-6
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