Research Article
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.
| ā | Ra = 103 | Ra = 104 | Ra = 105 | Ra = 106 |
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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 |
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