Comparison of the Finite Volume and Lattice Boltzmann Methods for Solving Natural Convection Heat Transfer Problems inside Cavities and Enclosures

Table 4

Comparison of the average Nusselt number along the hot wall with those in the literature.

	Ra = 10^3	Ra = 10^4	Ra = 10^5	Ra = 10^6
Khanafer et al. [34], FVM	1.118	2.245	4.522	8.826
Barakos et al. [39], FVM	1.114	2.245	4.510	8.806
Markatos and Pericleous [40], FDM	1.108	2.201	4.430	8.754
de Vahl Davis [41], FDM	1.118	2.243	4.519	8.799
Fusegi et al. [42], 3-D FDM	1.105	2.302	4.646	9.012
1st upwind/SIMPLE	1.115	2.233	4.508	8.756
1st upwind/SIMPLEC	1.120	2.242	4.516	8.795
2nd upwind/SIMPLE	1.116	2.236	4.465	8.761
2nd upwind/SIMPLEC	1.119	2.240	4.489	8.799
Power law/SIMPLE	1.115	2.235	4.465	8.754
Power law/SIMPLEC	1.116	2.238	4.475	8.765
QUICK/SIMPLE	1.119	2.242	4.502	8.786
QUICK/SIMPLEC	1.113	2.230	4.479	8.757
LBM	1.108	2.210	4.456	8.756