A cellular automaton model for the solidification of a pure substance

Lei Wei; Xin Lin; Meng Wang; Weidong Huang

doi:10.1007/s00339-010-6161-7

A cellular automaton model for the solidification of a pure substance

Lei Wei, Xin Lin, Meng Wang, Weidong Huang

School of Materials Sience and Engineering

Northwestern Polytechnical University Xian

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

47 Scopus citations

Abstract

An improved cellular automaton model for describing the evolution of solidification morphology of a pure substance is presented. The mesh-induced anisotropy was investigated for the traditional capture rules such as Von Neumann's and Moore's capture rules. A random zigzag capture rule was developed, which can greatly reduce the mesh-induced anisotropy. The method for the calculation of solid/liquid (SL) interface curvature was also improved by using a bilinear interpolation method, which increased the accuracy of the calculation of the SL interface curvature. Based on these improvements, the effect of interfacial energy anisotropy on the dendritic growth behavior was analyzed.

Original language	English
Pages (from-to)	123-133
Number of pages	11
Journal	Applied Physics A: Materials Science and Processing
Volume	103
Issue number	1
DOIs	https://doi.org/10.1007/s00339-010-6161-7
State	Published - Apr 2011

Keywords

Cellular automaton
Dendrite
Mesh-induced anisotropy
Solidification

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abstract = "An improved cellular automaton model for describing the evolution of solidification morphology of a pure substance is presented. The mesh-induced anisotropy was investigated for the traditional capture rules such as Von Neumann's and Moore's capture rules. A random zigzag capture rule was developed, which can greatly reduce the mesh-induced anisotropy. The method for the calculation of solid/liquid (SL) interface curvature was also improved by using a bilinear interpolation method, which increased the accuracy of the calculation of the SL interface curvature. Based on these improvements, the effect of interfacial energy anisotropy on the dendritic growth behavior was analyzed.",

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AB - An improved cellular automaton model for describing the evolution of solidification morphology of a pure substance is presented. The mesh-induced anisotropy was investigated for the traditional capture rules such as Von Neumann's and Moore's capture rules. A random zigzag capture rule was developed, which can greatly reduce the mesh-induced anisotropy. The method for the calculation of solid/liquid (SL) interface curvature was also improved by using a bilinear interpolation method, which increased the accuracy of the calculation of the SL interface curvature. Based on these improvements, the effect of interfacial energy anisotropy on the dendritic growth behavior was analyzed.

KW - Cellular automaton

KW - Dendrite

KW - Mesh-induced anisotropy

KW - Solidification

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A cellular automaton model for the solidification of a pure substance

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Keywords

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