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

O. Zinovieva, A. Zinoviev, V. Ploshikhin, V. Romanova, Ruslan Revovich Balokhonov

    Research output: Contribution to journalArticle

    8 Citations (Scopus)

    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 languageEnglish
    Article number6584
    Pages (from-to)168-176
    Number of pages9
    JournalComputational Materials Science
    Volume108
    Issue numberPA
    DOIs
    Publication statusPublished - 8 Jul 2015

    Fingerprint

    Grain Growth
    cellular automata
    Cellular automata
    Grain growth
    Cellular Automata
    Anisotropy
    mesh
    Mesh
    anisotropy
    Simulation
    simulation
    Cellular Automaton Model
    Solidification
    Difference Method
    Finite Difference
    Eliminate
    Finite difference method
    solidification
    Modeling

    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

    Cite this

    A solution to the problem of the mesh anisotropy in cellular automata simulations of grain growth. / Zinovieva, O.; Zinoviev, A.; Ploshikhin, V.; Romanova, V.; Balokhonov, Ruslan Revovich.

    In: Computational Materials Science, Vol. 108, No. PA, 6584, 08.07.2015, p. 168-176.

    Research output: Contribution to journalArticle

    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, vol. 108, no. PA, 6584, pp. 168-176. https://doi.org/10.1016/j.commatsci.2015.06.026
    Zinovieva, O. ; Zinoviev, A. ; Ploshikhin, V. ; Romanova, V. ; Balokhonov, Ruslan Revovich. / A solution to the problem of the mesh anisotropy in cellular automata simulations of grain growth. In: Computational Materials Science. 2015 ; Vol. 108, No. PA. pp. 168-176.
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