Improving the Accuracy of Fictitious Domain Method Using Indicator Function from Volume Intersection

Table 1

Comparison of results and errors of the particle volume computation in 2D.

Grid Spacing	Volume and Errors	Gallier [14]	Subdivision level
			1	2	3	4
/10	Volume	0.793864	0.785212	0.785347	0.785384	0.785394
	Error	1.08e-2	2.37e-4	6.50e-5	1.80e-5	5.02e-6
/20	Volume	0.788934	0.785353	0.785386	0.785395	0.785397
	Error	4.50e-3	5.92e-5	1.56e-5	4.33e-6	1.21e-6
/30	Volume	0.787999	0.785379	0.785393	0.785397	0.785398
	Error	3.31e-3	2.50e-5	6.90e-6	1.91e-6	5.31e-7
/40	Volume	0.787515	0.785387	0.785395	0.785397	0.785398
	Error	2.70e-3	1.41e-5	3.88e-6	1.07e-6	2.96e-7