Research Article

On Solving the Poisson Equation with Discontinuities on Irregular Interfaces: GFM and VIM

Table 7

Comparison of the error in the gradient of 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 0.04 0.55 2.07

0.0625 0.11 1.60 2.82

0.03125 -0.02 0.89 1.03

0.015625 -0.04 0.62 1.02

0.0078125 -0.02 1.00 1.01

0.00390625 -0.01 0.70 1.01