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

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 fl...

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Veröffentlicht in:Journal of computational physics Jg. 323; S. 1 - 16
Hauptverfasser: Li, Yibao, Choi, Jung-Il, Kim, Junseok
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Elsevier Inc 15.10.2016
Schlagworte:
Adaptive mesh refinement
Boundary condition
Complex domain
Multi-component Cahn–Hilliard system
Nonlinear multigrid method
Practically unconditionally gradient stable scheme
Practically unconditionally gradient stable scheme
Adaptive mesh refinement
Nonlinear multigrid method
Multi-component Cahn–Hilliard system
Complex domain
Boundary condition
ISSN:0021-9991, 1090-2716
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Zusammenfassung: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.
ISSN:0021-9991
1090-2716
DOI:10.1016/j.jcp.2016.07.017