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