Abstract
We have studied numerically the dynamics of the microphase separation of a water-oil-surfactant system. We developed an efficient and accurate numerical method for solving the two-dimensional time-dependent Ginzburg-Landau model with two order parameters. The numerical method is based on a conservative, second-order accurate, and implicit finite-difference scheme. The nonlinear discrete equations were solved by using a nonlinear multigrid method. There is, at most, a first-order time step constraint for stability. We demonstrated numerically the convergence of our scheme and presented simulations of phase separation to show the efficiency and accuracy of the new algorithm.
| Original language | English |
|---|---|
| Pages (from-to) | 272-279 |
| Number of pages | 8 |
| Journal | Journal of Colloid and Interface Science |
| Volume | 303 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2006 Nov 1 |
| Externally published | Yes |
Bibliographical note
Funding Information:This work is supported by the Dongguk University Research Fund.
Keywords
- Ginzburg-Landau model
- Nonlinear multigrid method
- Phase separation
- Surfactant
ASJC Scopus subject areas
- Electronic, Optical and Magnetic Materials
- Biomaterials
- Surfaces, Coatings and Films
- Colloid and Surface Chemistry