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Phase field study of the tip operating state of a freely growing dendrite against convection using a novel parallel multigrid approach

Guo, Zengyuan; Mi, Jiawei; Xiong, Shoumei; Grant, Patrick

Authors

Zengyuan Guo

Shoumei Xiong

Patrick Grant



Abstract

Alloy dendrite growth during solidification with coupled thermal-solute-convection fields has been studied by phase field modeling and simulation. The coupled transport equations were solved using a novel parallel-multigrid numerical approach with high computational efficiency that has enabled the investigation of dendrite growth with realistic alloy values of Lewis number ∼104 and Prandtl number ∼10−2. The detailed dendrite tip shape and character were compared with widely recognized analytical approaches to show validity, and shown to be highly dependent on undercooling, solute concentration and Lewis number. In a relatively low flow velocity regime, variations in the ratio of growth selection parameter with and without convection agreed well with theory.

Journal Article Type Article
Publication Date Jan 15, 2014
Journal Journal of computational physics
Print ISSN 0021-9991
Electronic ISSN 1090-2716
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 257
Issue A
Pages 278-297
APA6 Citation Guo, Z., Mi, J., Xiong, S., & Grant, P. (2014). Phase field study of the tip operating state of a freely growing dendrite against convection using a novel parallel multigrid approach. Journal of Computational Physics, 257(A), (278-297). doi:10.1016/j.jcp.2013.10.004. ISSN 0021-9991
DOI https://doi.org/10.1016/j.jcp.2013.10.004
Keywords Dendrite formation; Phase-field method; Solidification microstructure; Parallel computing
Publisher URL http://www.sciencedirect.com/science/article/pii/S0021999113006694
Additional Information This is an author's accepted manuscript of an article published in Journal of computational physics, 2014, v.257 part A.

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