A second-order accurate non-linear difference scheme for the N -component Cahn-Hilliard system

Hyun Geun Lee, Junseok Kim

Research output: Contribution to journalArticle

27 Citations (Scopus)

Abstract

We consider a second-order conservative nonlinear numerical scheme for the N-component Cahn-Hilliard system modeling the phase separation of a N-component mixture. The scheme is based on a Crank-Nicolson finite-difference method and is solved by an efficient and accurate nonlinear multigrid method. We numerically demonstrate the second-order accuracy of the numerical scheme. We observe that our numerical solutions are consistent with the exact solutions of linear stability analysis results. We also describe numerical experiments such as the evolution of triple junctions and the spinodal decomposition in a quaternary mixture. We investigate the effects of a concentration dependent mobility on phase separation.

Original languageEnglish
Pages (from-to)4787-4799
Number of pages13
JournalPhysica A: Statistical Mechanics and its Applications
Volume387
Issue number19-20
DOIs
Publication statusPublished - 2008 Aug 1

Fingerprint

Cahn-Hilliard
Phase Separation
Difference Scheme
Numerical Scheme
multigrid methods
Spinodal Decomposition
Crank-Nicolson
Second-order Accuracy
Linear Stability Analysis
Multigrid Method
eccentrics
System Modeling
Difference Method
Finite Difference
Exact Solution
Numerical Experiment
Numerical Solution
decomposition
Dependent
Demonstrate

Keywords

  • Finite difference
  • N-component Cahn-Hilliard
  • Nonlinear multigrid
  • Phase separation

ASJC Scopus subject areas

  • Mathematical Physics
  • Statistical and Nonlinear Physics

Cite this

A second-order accurate non-linear difference scheme for the N -component Cahn-Hilliard system. / Lee, Hyun Geun; Kim, Junseok.

In: Physica A: Statistical Mechanics and its Applications, Vol. 387, No. 19-20, 01.08.2008, p. 4787-4799.

Research output: Contribution to journalArticle

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