A fast, robust, and accurate operator splitting method for phase-field simulations of crystal growth

Yibao Li, Hyun Geun Lee, Junseok Kim

Research output: Contribution to journalArticle

27 Citations (Scopus)

Abstract

In this paper we propose a fast, robust, and accurate operator splitting method for phase-field simulations of dendritic growth in both two- and three-dimensional space. The proposed method is based on operator splitting techniques. We split the governing phase-field equation into three parts: the first equation is calculated by using an explicit Euler's method. The second is a heat equation with a source term and is solved by a fast solver such as a multigrid method. The third is a nonlinear equation and is evaluated using a closed form solution. We also present a set of representative numerical experiments for crystal growth simulation to demonstrate the accuracy and efficiency of the proposed method. Our simulation results are also consistent with previous numerical experiments.

Original languageEnglish
Pages (from-to)176-182
Number of pages7
JournalJournal of Crystal Growth
Volume321
Issue number1
DOIs
Publication statusPublished - 2011 Apr 15

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Keywords

  • A1. Multigrid method
  • A1. Operator splitting
  • A1. Phase-field simulation
  • A2. Crystal growth

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Materials Chemistry
  • Inorganic Chemistry

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