A solution to the problem of the mesh anisotropy in cellular automata simulations of grain growth

Abstract

Abstract Cellular automata modeling is a powerful tool used for simulating complex grain growth phenomena. However, a computational mesh may give rise to artificial anisotropy, which is a highly undesirable calculational problem. To eliminate this drawback of the approach, we have introduced two new corrections into a two-dimensional cellular automata algorithm for grain growth. The two-dimensional cellular automata model built in the framework of the approach developed by Rappaz and Gandin is based on a combination of the cellular automata and finite difference methods. The simulation results obtained for the cases of single grain growth and evolution of polycrystalline structure during solidification of alloys have demonstrated that the proposed corrections enable the mesh anisotropy problem to be solved.

Original language	English
Article number	6584
Pages (from-to)	168-176
Number of pages	9
Journal	Computational Materials Science
Volume	108
Issue number	PA
DOIs	https://doi.org/10.1016/j.commatsci.2015.06.026
Publication status	Published - 8 Jul 2015

Keywords

Cellular automata
Grain growth
Mesh anisotropy
Solidification

ASJC Scopus subject areas

Computer Science(all)
Chemistry(all)
Materials Science(all)
Mechanics of Materials
Physics and Astronomy(all)
Computational Mathematics

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10.1016/j.commatsci.2015.06.026

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Zinovieva, O., Zinoviev, A., Ploshikhin, V., Romanova, V., & Balokhonov, RR. (2015). A solution to the problem of the mesh anisotropy in cellular automata simulations of grain growth. Computational Materials Science, 108(PA), 168-176. [6584]. https://doi.org/10.1016/j.commatsci.2015.06.026

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title = "A solution to the problem of the mesh anisotropy in cellular automata simulations of grain growth",

abstract = "Abstract Cellular automata modeling is a powerful tool used for simulating complex grain growth phenomena. However, a computational mesh may give rise to artificial anisotropy, which is a highly undesirable calculational problem. To eliminate this drawback of the approach, we have introduced two new corrections into a two-dimensional cellular automata algorithm for grain growth. The two-dimensional cellular automata model built in the framework of the approach developed by Rappaz and Gandin is based on a combination of the cellular automata and finite difference methods. The simulation results obtained for the cases of single grain growth and evolution of polycrystalline structure during solidification of alloys have demonstrated that the proposed corrections enable the mesh anisotropy problem to be solved.",

keywords = "Cellular automata, Grain growth, Mesh anisotropy, Solidification",

author = "O. Zinovieva and A. Zinoviev and V. Ploshikhin and V. Romanova and Ruslan Revovich Balokhonov",

year = "2015",

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T1 - A solution to the problem of the mesh anisotropy in cellular automata simulations of grain growth

AU - Zinovieva, O.

AU - Zinoviev, A.

AU - Ploshikhin, V.

AU - Romanova, V.

AU - Balokhonov, Ruslan Revovich

PY - 2015/7/8

Y1 - 2015/7/8

N2 - Abstract Cellular automata modeling is a powerful tool used for simulating complex grain growth phenomena. However, a computational mesh may give rise to artificial anisotropy, which is a highly undesirable calculational problem. To eliminate this drawback of the approach, we have introduced two new corrections into a two-dimensional cellular automata algorithm for grain growth. The two-dimensional cellular automata model built in the framework of the approach developed by Rappaz and Gandin is based on a combination of the cellular automata and finite difference methods. The simulation results obtained for the cases of single grain growth and evolution of polycrystalline structure during solidification of alloys have demonstrated that the proposed corrections enable the mesh anisotropy problem to be solved.

AB - Abstract Cellular automata modeling is a powerful tool used for simulating complex grain growth phenomena. However, a computational mesh may give rise to artificial anisotropy, which is a highly undesirable calculational problem. To eliminate this drawback of the approach, we have introduced two new corrections into a two-dimensional cellular automata algorithm for grain growth. The two-dimensional cellular automata model built in the framework of the approach developed by Rappaz and Gandin is based on a combination of the cellular automata and finite difference methods. The simulation results obtained for the cases of single grain growth and evolution of polycrystalline structure during solidification of alloys have demonstrated that the proposed corrections enable the mesh anisotropy problem to be solved.

KW - Cellular automata

KW - Grain growth

KW - Mesh anisotropy

KW - Solidification

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