Phase-field simulations of crystal growth with adaptive mesh refinement

Yibao Li, Junseok Kim

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

In this paper, we propose the phase-field simulation of dendritic crystal growth in both two- and three-dimensional spaces with adaptive mesh refinement, which was designed to solve nonlinear parabolic partial differential equations. The proposed numerical method, based on operator splitting techniques, can use large time step sizes and exhibits excellent stability. In addition, the resulting discrete system of equations is solved by a fast numerical method such as an adaptive multigrid method. Comparisons to uniform mesh method, explicit adaptive method, and previous numerical experiments for crystal growth simulations are presented to demonstrate the accuracy and robustness of the proposed method.

Original languageEnglish
Pages (from-to)7926-7932
Number of pages7
JournalInternational Journal of Heat and Mass Transfer
Volume55
Issue number25-26
DOIs
Publication statusPublished - 2012 Dec 1

Fingerprint

Crystallization
Crystal growth
crystal growth
Numerical methods
dendritic crystals
parabolic differential equations
multigrid methods
partial differential equations
Partial differential equations
Mathematical operators
mesh
simulation
operators
Experiments

Keywords

  • Adaptive mesh refinement
  • Crystal growth
  • Multigrid method
  • Operator splitting
  • Phase-field simulation

ASJC Scopus subject areas

  • Mechanical Engineering
  • Condensed Matter Physics
  • Fluid Flow and Transfer Processes

Cite this

Phase-field simulations of crystal growth with adaptive mesh refinement. / Li, Yibao; Kim, Junseok.

In: International Journal of Heat and Mass Transfer, Vol. 55, No. 25-26, 01.12.2012, p. 7926-7932.

Research output: Contribution to journalArticle

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