. Author manuscript; available in PMC: 2020 Apr 15.

Published in final edited form as: J Comput Phys. 2019 Feb 1;383:72–93. doi: 10.1016/j.jcp.2019.01.019

Table 8:

Comparison of the averaged iteration counts and CPU time in seconds for the nested block preconditioner ${\hat{P}}_{S C R}$ the SIMPLE preconditioner, and the additive Schwarz preconditioner. NC stands for no convergence. For the Δt = 10⁻¹ case, the additive Schwarz preconditioner failed to achieve convergence in 10000 iterations.

$\frac{1}{Δ x}$	Proc.	${\hat{P}}_{S C R}$				SIMPLE		Additive Schwarz
		$\bar{n}$	${\bar{n}}_{A}$	${\bar{n}}_{S}$	${\bar{T}}_{L}$	$\bar{n}$	${\bar{T}}_{L}$	$\bar{n}$	${\bar{T}}_{L}$
Δt = 10⁻¹
200	8	6.2	207.1	10.3	579.3	54.1	888.5	NC	NC
400	04	7.8	331.3	10.5	2062.7	102.5	6262.8	NC	NC
600	216	10.3	389.4	11.1	3204.1	140.5	8051.3	NC	NC
Δt = 10⁻⁵
200	8	4.0	2.3	15.5	9.7	22.6	9.4	485.6	10.8
400	64	4.1	3.1	18.6	29.2	45.3	53.3	986.3	47.76
600	216	5.9	3.9	20.3	119.8	71.3	202.5	1453.0	431.6