Multi-component Cahn–Hilliard system with different boundary conditions in complex domains

Yibao Li, Jung Il Choi, Junseok Kim

Research output: Contribution to journalArticlepeer-review

32 Citations (Scopus)


We propose an efficient phase-field model for multi-component Cahn–Hilliard (CH) systems in complex domains. The original multi-component Cahn–Hilliard system with a fixed phase is modified in order to make it suitable for complex domains in the Cartesian grid, along with contact angle or no mass flow boundary conditions on the complex boundaries. The proposed method uses a practically unconditionally gradient stable nonlinear splitting numerical scheme. Further, a nonlinear full approximation storage multigrid algorithm is used for solving semi-implicit formulations of the multi-component CH system, incorporated with an adaptive mesh refinement technique. The robustness of the proposed method is validated through various numerical simulations including multi-phase separations via spinodal decomposition, equilibrium contact angle problems, and multi-phase flows with a background velocity field in complex domains.

Original languageEnglish
Pages (from-to)1-16
Number of pages16
JournalJournal of Computational Physics
Publication statusPublished - 2016 Oct 15


  • Adaptive mesh refinement
  • Boundary condition
  • Complex domain
  • Multi-component Cahn–Hilliard system
  • Nonlinear multigrid method
  • Practically unconditionally gradient stable scheme

ASJC Scopus subject areas

  • Numerical Analysis
  • Modelling and Simulation
  • Physics and Astronomy (miscellaneous)
  • Physics and Astronomy(all)
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics


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