THREE-DIMENSIONAL NUMERICAL SIMULATIONS OF A PHASE-FIELD MODEL FOR ANISOTROPIC INTERFACIAL ENERGY | Zendy

Junseok Kim | Zendy

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THREE-DIMENSIONAL NUMERICAL SIMULATIONS OF A PHASE-FIELD MODEL FOR ANISOTROPIC INTERFACIAL ENERGY

Author(s) -

Junseok Kim

Publication year - 2007

Publication title -

communications of the korean mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.286

H-Index - 15

eISSN - 2234-3024

pISSN - 1225-1763

DOI - 10.4134/ckms.2007.22.3.453

Subject(s) - anisotropy , spinodal decomposition , multigrid method , robustness (evolution) , nonlinear system , phase field models , mathematics , surface energy , spinodal , statistical physics , phase (matter) , mathematical analysis , physics , thermodynamics , partial differential equation , chemistry , optics , biochemistry , quantum mechanics , gene

A computationally efficient numerical scheme is presented for the phase-field model of two-phase systems for anisotropic interfacial energy. The scheme is solved by using a nonlinear multigrid method. When the coefficient for the anisotropic interfacial energy is sufficiently high, the interface of the system shows corners or missing crystallographic orientations. Numerical simulations with high and low anisotropic coefficients show excellent agreement with exact equilibrium shapes. We also present spinodal decomposition, which shows the robustness of the proposed scheme.

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