文章基本信息

标题：Numerical Simulation of a Domain-Tessellation Pattern on a Spherical Surface Using a Phase Field Model
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作者：Takuya Uehara
期刊名称：Open Journal of Modelling and Simulation
印刷版ISSN：2327-4018
电子版ISSN：2327-4026
出版年度：2016
卷号：04
期号：02
页码：24-33
DOI：10.4236/ojmsi.2016.42003
语种：English
出版社：Scientific Research Publishing
摘要：A numerical simulation scheme is proposed to analyze domain tessellation and pattern formation on a spherical surface using the phase-field method. A multi-phase-field model is adopted to represent domain growth, and the finite-difference method (FDM) is used for numerical integration. The lattice points for the FDM are distributed regularly on a spherical surface so that a mostly regular triangular domain division is realized. First, a conventional diffusion process is simulated using this lattice to confirm its validity. The multi-phase-field equation is then applied, and pattern formation processes under various initial conditions are simulated. Unlike pattern formation on a flat plane, where the regular hexagonal domains are always stable, certain different patterns are generated. Specifically, characteristic stable patterns are obtained when the number of domains, n, is 6, 8, or 12; for instance, a regular pentagonal domain division pattern is generated for n = 12, which corresponds to a regular dodecahedron.
关键词：Pattern Formation;Domain Tessellation;Computer Simulation;Phase Field Method