A parallel multigrid method of the Cahn-Hilliard equation

Jaemin Shin, Sungki Kim, Dongsun Lee, Junseok Kim

Research output: Contribution to journalArticlepeer-review

16 Citations (Scopus)


We present a parallel finite difference scheme and its implementation for solving the Cahn-Hilliard equation, which describes the phase separation process. Our numerical algorithm employs an unconditionally gradient stable splitting discretization method. The resulting discrete equations are solved using a parallel multigrid method. This parallel scheme facilitates the solution of large-scale problems. We provide numerical results related to the speed-up, efficiency, and scalability to demonstrate the high performance of our proposed method. We also propose a linearly stabilized splitting scheme for the Cahn-Hilliard equation with logarithmic free energy.

Original languageEnglish
Pages (from-to)89-96
Number of pages8
JournalComputational Materials Science
Publication statusPublished - 2013


  • Cahn-Hilliard equation
  • Linearly stabilized splitting scheme
  • Multigrid
  • Parallel computing
  • Phase separation

ASJC Scopus subject areas

  • Computer Science(all)
  • Chemistry(all)
  • Materials Science(all)
  • Mechanics of Materials
  • Physics and Astronomy(all)
  • Computational Mathematics


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