Research Article
On Solving the Poisson Equation with Discontinuities on Irregular Interfaces: GFM and VIM
Table 5
Comparions of the
error in the solution for the Ghost-Fluid Method and the Voronoi Interface Method, for example, shown in Section
3.2.
| | Ghost-Fluid Method | Voronoi Interface Method | VIM Interpolated |
| dx | | Order | | Order | | Order |
| 0.25 | | — | | — | | — |
| 0.125 | | 0.62 | | 1.94 | | 2.72 |
| 0.0625 | | 0.70 | | 1.73 | | 7.03 |
| 0.03125 | | 0.76 | | 1.70 | | 1.70 |
| 0.015625 | | 0.80 | | 2.09 | | 2.13 |
| 0.0078125 | | 0.82 | | 1.98 | | 1.93 |
| 0.00390625 | | 0.84 | | 1.97 | | 1.94 |
|
|