A fourth-order spatial accurate and practically stable compact scheme for the Cahn-Hilliard equation

Chaeyoung Lee, Darae Jeong, Jaemin Shin, Yibao Li, Junseok Kim

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

We present a fourth-order spatial accurate and practically stable compact difference scheme for the Cahn-Hilliard equation. The compact scheme is derived by combining a compact nine-point formula and linearly stabilized splitting scheme. The resulting system of discrete equations is solved by a multigrid method. Numerical experiments are conducted to verify the practical stability and fourth-order accuracy of the proposed scheme. We also demonstrate that the compact scheme is more robust and efficient than the non-compact fourth-order scheme by applying to parallel computing and adaptive mesh refinement.

Original languageEnglish
Pages (from-to)17-28
Number of pages12
JournalPhysica A: Statistical Mechanics and its Applications
Volume409
DOIs
Publication statusPublished - 2014 Sep 1

Fingerprint

Compact Scheme
Cahn-Hilliard Equation
Fourth Order
multigrid methods
Practical Stability
Adaptive Mesh Refinement
Multigrid Method
Discrete Equations
Parallel Computing
Difference Scheme
Linearly
Numerical Experiment
Verify
Demonstrate

Keywords

  • Adaptive mesh refinement
  • Cahn-Hilliard equation
  • Fourth-order compact scheme
  • Multigrid
  • Parallel computing
  • Practically stable scheme

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Statistics and Probability

Cite this

A fourth-order spatial accurate and practically stable compact scheme for the Cahn-Hilliard equation. / Lee, Chaeyoung; Jeong, Darae; Shin, Jaemin; Li, Yibao; Kim, Junseok.

In: Physica A: Statistical Mechanics and its Applications, Vol. 409, 01.09.2014, p. 17-28.

Research output: Contribution to journalArticle

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