Abstract
In this paper, we extend the boundary integral scheme for the threshold dynamics method to treat the case where the material interface is nonsmooth and may undergo topological changes. The scheme is then applied to study the wetting dynamics in both two and three dimensions. Numerical experiments show that the scheme is more efficient as compared with the existing method using uniform grids, making accurate simulation of wetting dynamics on a chemically patterned solid surface in three dimensions within practical reach.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1860-1881 |
| Number of pages | 22 |
| Journal | Journal of Scientific Computing |
| Volume | 81 |
| Issue number | 3 |
| DOIs | |
| State | Published - Dec 1 2019 |
All Science Journal Classification (ASJC) codes
- Software
- Theoretical Computer Science
- Numerical Analysis
- General Engineering
- Computational Theory and Mathematics
- Computational Mathematics
- Applied Mathematics
Keywords
- Heat equation
- Nonuniform FFT
- Threshold dynamics method
- Wetting