A practically unconditionally gradient stable scheme for the N-component CahnHilliard system

Hyun Geun Lee, Jeongwhan Choi, Junseok Kim

Research output: Contribution to journalArticle

30 Citations (Scopus)

Abstract

We present a practically unconditionally gradient stable conservative nonlinear numerical scheme for the N-component CahnHilliard system modeling the phase separation of an N-component mixture. The scheme is based on a nonlinear splitting method and is solved by an efficient and accurate nonlinear multigrid method. The scheme allows us to convert the N-component CahnHilliard system into a system of N-1 binary CahnHilliard equations and significantly reduces the required computer memory and CPU time. We observe that our numerical solutions are consistent with the linear stability analysis results. We also demonstrate the efficiency of the proposed scheme with various numerical experiments.

Original languageEnglish
Pages (from-to)1009-1019
Number of pages11
JournalPhysica A: Statistical Mechanics and its Applications
Volume391
Issue number4
DOIs
Publication statusPublished - 2012 Feb 15

Fingerprint

Gradient
gradients
multigrid methods
memory (computers)
Cahn-Hilliard Equation
Splitting Method
Linear Stability Analysis
Multigrid Method
Phase Separation
CPU Time
System Modeling
Numerical Scheme
Convert
Numerical Experiment
Numerical Solution
Binary
Demonstrate

Keywords

  • Finite difference
  • N-component CahnHilliard system
  • Nonlinear multigrid
  • Phase separation
  • Practically unconditionally gradient stable

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Statistics and Probability

Cite this

A practically unconditionally gradient stable scheme for the N-component CahnHilliard system. / Lee, Hyun Geun; Choi, Jeongwhan; Kim, Junseok.

In: Physica A: Statistical Mechanics and its Applications, Vol. 391, No. 4, 15.02.2012, p. 1009-1019.

Research output: Contribution to journalArticle

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