Table 3. Convergence history for the CD... | Emerald Publishing

Table 3.

Convergence history for the CD scheme for cell Peclet number of 3 with different ϕ_P initial guesses for a problem with zero source, ϕ_W = 1 and ϕ_E = 2

Initial guess	$ϕ_{P}^{*} = - ϕ_{E}$			$ϕ_{P}^{*} = ϕ_{E}$			$ϕ_{P}^{*} = 1000 ϕ_{E}$
Iteration	α (Eq. 81)	$ξ_{P}^{*}$ (Eq. 52)	$ϕ_{P}^{*}$ (Eq. 50)	α (Eq. 81)	$ξ_{P}^{*}$ (Eq. 52)	$ϕ_{P}^{*}$ (Eq. 50)	α (Eq. 81)	$ξ_{P}^{*}$ (Eq. 52)	$ϕ_{P}^{*}$ (Eq. 50)
1	1.33E + 01	3.00E−01	1.300	4.00E + 00	5.00E−01	1.500	3.00E−03	6.67E + 02	667.611
5	3.38E + 01	5.91E−02	1.059	2.46E + 01	8.12E−02	1.081	2.32E−01	8.63E + 00	9.633
10	1.63E + 02	1.22E−02	1.012	1.24E + 02	1.61E−02	1.016	9.78E + 00	2.04E−01	1.204
15	7.10E + 02	2.82E−03	1.003	5.46E + 02	3.67E−03	1.004	6.10E + 01	3.28E−02	1.033
20	3.01E + 03	6.64E−04	1.001	2.32E + 03	8.62E−04	1.001	2.78E + 02	7.19E−03	1.007
25	1.27E + 04	1.57E−04	1.000	9.80E + 03	2.04E−04	1.000	1.19E + 03	1.68E−03	1.002
30	5.36E + 04	3.73E−05	1.000	4.13E + 04	4.84E−05	1.000	5.05E + 03	3.96E−04	1.000
35	2.26E + 05	8.85E−06	1.000	1.74E + 05	1.15E−05	1.000	2.13E + 04	9.39E−05	1.000

Initial guess	$ϕ_{P}^{*} = - ϕ_{E}$			$ϕ_{P}^{*} = ϕ_{E}$			$ϕ_{P}^{*} = 1000 ϕ_{E}$
Iteration	α (Eq. 81)	$ξ_{P}^{*}$ (Eq. 52)	$ϕ_{P}^{*}$ (Eq. 50)	α (Eq. 81)	$ξ_{P}^{*}$ (Eq. 52)	$ϕ_{P}^{*}$ (Eq. 50)	α (Eq. 81)	$ξ_{P}^{*}$ (Eq. 52)	$ϕ_{P}^{*}$ (Eq. 50)
1	1.33E + 01	3.00E−01	1.300	4.00E + 00	5.00E−01	1.500	3.00E−03	6.67E + 02	667.611
5	3.38E + 01	5.91E−02	1.059	2.46E + 01	8.12E−02	1.081	2.32E−01	8.63E + 00	9.633
10	1.63E + 02	1.22E−02	1.012	1.24E + 02	1.61E−02	1.016	9.78E + 00	2.04E−01	1.204
15	7.10E + 02	2.82E−03	1.003	5.46E + 02	3.67E−03	1.004	6.10E + 01	3.28E−02	1.033
20	3.01E + 03	6.64E−04	1.001	2.32E + 03	8.62E−04	1.001	2.78E + 02	7.19E−03	1.007
25	1.27E + 04	1.57E−04	1.000	9.80E + 03	2.04E−04	1.000	1.19E + 03	1.68E−03	1.002
30	5.36E + 04	3.73E−05	1.000	4.13E + 04	4.84E−05	1.000	5.05E + 03	3.96E−04	1.000
35	2.26E + 05	8.85E−06	1.000	1.74E + 05	1.15E−05	1.000	2.13E + 04	9.39E−05	1.000

Source: Table by authors