Research Article
On Solving the Poisson Equation with Discontinuities on Irregular Interfaces: GFM and VIM
Table 1
Comparison of the
error in the solution for the Ghost-Fluid Method and the Voronoi Interface Method, for example, shown in Section
3.1.
| | Ghost-Fluid Method | Voronoi Interface Method | VIM Interpolated |
| dx | | Order | | Order | | Order |
| 0.25 | | — | | — | | — |
| 0.125 | | 2.00 | | 2.59 | | 2.80 |
| 0.0625 | | 2.00 | | 1.98 | | 8.37 |
| 0.03125 | | 2.00 | | 1.96 | | 2.15 |
| 0.015625 | | 2.00 | | 1.98 | | 1.98 |
| 0.0078125 | | 2.00 | | 1.97 | | 1.95 |
| 0.00390625 | | 2.00 | | 1.98 | | 2.00 |
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