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

Yibao Li, Jung Il Choi, Junseok Kim

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

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
Volume323
DOIs
Publication statusPublished - 2016 Oct 15

Fingerprint

Contact angle
Boundary conditions
boundary conditions
Spinodal decomposition
Multiphase flow
Phase separation
multiphase flow
mass flow
Computer simulation
velocity distribution
grids
decomposition
formulations
gradients
approximation
simulation

All Science Journal Classification (ASJC) codes

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

Cite this

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abstract = "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.",
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Multi-component Cahn–Hilliard system with different boundary conditions in complex domains. / Li, Yibao; Choi, Jung Il; Kim, Junseok.

In: Journal of Computational Physics, Vol. 323, 15.10.2016, p. 1-16.

Research output: Contribution to journalArticle

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