Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 453-464 |
| Number of pages | 12 |
| Journal | Communications of the Korean Mathematical Society |
| Volume | 22 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 2007 |
| Externally published | Yes |
Keywords
- Anisotropy
- Cahn-Hilliard equation
- Interfacial energy
- Nonlinear multigrid method
- Phase-field model
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics