Nonlinear Finite Volume Scheme Preserving Positivity for 2D Convection-Diffusion Equations on Polygonal Meshes

Table 3

Comparison of accuracy with discontinuous coefficient .

Method	Mesh	Cells	256	1024	4096	16384
Zhang et al. [24]	Uniform		1.10E − 1	3.98E-2	1.42E − 2	5.02E − 3
		Order	—	1.47	1.49	1.50
	Random		1.10E − 1	3.95E-2	1.38E − 2	5.11E − 3
		Order	—	1.48	1.52	1.43
Lan et al. [19]	Uniform		4.23E − 3	9.77E-4	2.31E − 4	5.50E − 5
		Order	—	2.12	2.08	2.07
	Random		6.87E − 3	1.57E-3	3.78E − 4	8.96E − 5
		Order	—	2.13	2.05	2.08
Present	Uniform		9.34E − 4	1.82E − 4	3.63E − 5	8.43E − 6
		Order	—	2.36	2.32	2.11
	Random		9.16E − 4	1.89E − 4	4.04E − 5	9.85E − 6
		Order	—	2.28	2.23	2.04