Some benchmarks of a side wall heated cavity using lattice Boltzmann approach

R. Djebali (1) , Mohammed El Ganaoui (2) , H. Sammouda (1) , R. Bennacer (3)

1 LETTM - Laboratoire d’Énergétique et des Transferts Thermiques et Massiques [Tunis]
2 Axe 2 : procédés de traitements de surface
3 LEEVAM - Environnement Energétique Valorisation Matériaux

The simplified thermal lattice Boltzmann model (STLBM) developed by Peng, Shu and Chew (2003) is used in this work to simulate low-Rayleighnumber natural convection in a heated rectangular cavity on a uniform grid. It is shown how by resorting to the double populations approach both hydrodynamic and thermal fields can be effectively simulated. Furthermore, a general benchmark is carried out to account for the effect of different parameters in relatively wide ranges. Results are compared with previous works available in the literature.

Mots clés: Lattice Boltzmann method; natural convection; heated cavity; benchmark solution; secondary parameters; low Rayleigh numbers.; low Rayleigh numbers

R. Djebali, Mohammed El Ganaoui, H. Sammouda, R. Bennacer. Some benchmarks of a side wall heated cavity using lattice Boltzmann approach. Fluid Dynamics & Materials Processing, 2009, 5, pp.261-282. ⟨hal-00419903⟩