Research Article
On Solving the Poisson Equation with Discontinuities on Irregular Interfaces: GFM and VIM
Table 6
Comparison 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 | | 0.93 | | 2.51 | | 4.48 |
| 0.0625 | | 1.00 | | 1.95 | | 4.37 |
| 0.03125 | | 1.10 | | 1.80 | | 1.86 |
| 0.015625 | | 0.99 | | 2.04 | | 2.01 |
| 0.0078125 | | 0.89 | | 2.02 | | 1.97 |
| 0.00390625 | | 1.06 | | 1.99 | | 1.96 |
|
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