Computer simulation of grain growth in three dimensions by the phase field model and the Monte Carlo method

Yoshihiro Suwa, Yoshiyuki Saito

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

Temporal evolution and morphology of grain structure in three dimensions were simulated by the phase field and the Monte Carlo simulations. In order to prevent impingement of grain of like orientation, a new algorithm was adopted for both simulations. Excluding the initial stage, the average area is found to be proportional to time in the phase field and the Monte Carlo simulations. The scaled grain size and the face number distributions become time-independent in both simulations. The scaled grain size and the face number distributions obtained by the phase field simulation are in good agreement with those by the Monte Carlo method. The nearest neighbor face correlation similar to the Aboav-Weaire relation is observed in simulated grain structures by both methods. The nearest neighbor face correlation for the phase field model is quite similar to that for the Monte Carlo method. The Allen-Cahn type equation for the phase field simulation can be derived from the master equation of the Monte Carlo Model.

Original languageEnglish
Pages (from-to)1214-1220
Number of pages7
JournalMaterials Transactions
Volume46
Issue number6
DOIs
Publication statusPublished - 2005 Jun

Fingerprint

Crystal microstructure
Grain growth
Monte Carlo method
Monte Carlo methods
computerized simulation
Computer simulation
simulation
grain size
impingement
Monte Carlo simulation

Keywords

  • Face number distribution
  • Grain growth
  • Grain size distribution
  • Monte Carlo method
  • Phase field method
  • Three dimension

ASJC Scopus subject areas

  • Materials Science(all)
  • Metals and Alloys

Cite this

Computer simulation of grain growth in three dimensions by the phase field model and the Monte Carlo method. / Suwa, Yoshihiro; Saito, Yoshiyuki.

In: Materials Transactions, Vol. 46, No. 6, 06.2005, p. 1214-1220.

Research output: Contribution to journalArticle

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