Research Article

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

Table 8

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 0.86 1.73 3.52

0.0625 1.01 1.71 2.59

0.03125 0.86 1.61 1.94

0.015625 0.96 2.01 1.98

0.0078125 0.97 1.95 1.99

0.00390625 0.98 1.91 1.99