[1] Guo Z, Shi B, Zheng C, (2002) A coupled lattice BGK model for the boussinesq equations. Int J Numer Methods Fluids 39: 325–342.
[2] Bejan A, (2013) Convection Heat Transfer. 4rd edn. Wiley, Hoboken.
[3] Singh H, Earnes P C, (2011) A review of natural convective heat transfer correlations in rectangular cross-section cavities and other potential applications to compound parabolic concentration (CPC) solar collector cavities. Appl Thermal Eng 310: 2186.
[4] Dixit H N, Babu V, (2006) Simulation of high rayleigh number natural convection in a square cavity using the lattice boltzmann method. Int J Heat Mass Transfer 49: 727–739.
[5] Saitoh T, Hirosek K, (1989) High accuracy benchmark solutions to natural convection in square cavity. J Computer and Fluids 4: 417-427.
[6] Hart J E, (1971) Stability of the flow in a differentially heated inclined box. J Fluid Mech 47: 547-576.
[7] Hollands K G T, Konicek L, (1973) Experimental study of the stability of differentially heated inclined air layers. Int J Heat Mass Transfer 16: 1467-1476.
[8] Elsherbiny S M, (1996) Free convection in inclined air layers heated from above. Int J Heat Mass Transfer 39: 3925-3930.
[9] Polat O, Bilgen E, (2002) Laminar natural convection in inclined open shallow cavities. Int J Thermal Sciences 41: 360-368.
[10] Djebali R, Ganaoui M E, Sammouda H, (2009) Investigation of a side wall heated cavity by using lattice Boltzmann method. European Journal of Computational Mechanics 18(2): 215-236.
[11] Bairi A, (2008) Nusselt–Rayleigh correlations for design of industrial elements: experimental and numerical investigation of natural convection in tilted square air filled enclosures. Energy Convers Manag 49: 771-782.
[12] Huelsz G, Rechtman R, (2013) Heat transfer due to natural convection in an inclined square cavity using the lattice Boltzmann equation method. Int J Therm Sci 65: 111-119.
[13] Succi S, (2001) The lattice boltzmann equation for fluid dynamics and beyond. Oxford Press University Oxford.
[14] Jami M, Mezrhab A, Bouzidi M h, Lallemand P, (2007) Lattice boltzmann method applied to the laminar natural convection in an enclosure with a heat-generating cylinder conducting body. Int J Therm Sci 46: 38-47.
[15] He S, Chen S, Doolen G D, (1998) A novel thermal model for the lattice boltzmann method in incompressible limit. J Comput Phys 146: 282-300.
[16] Mohamad A A, El-Ganaoui M, Bennacer R, (2009) Lattice boltzmann simulation of natural convection in an open ended cavity. Int J Therm Sci 48: 1870-1875.
[17] Mohamad A A, (2011) Lattice boltzmann method fundamental and engineering applications with computer code. Springer Verlag London.
[18] Luo L-S, (1993) Lattice-Gas automata and lattice boltzmann equations for two-dimensional hydrodynamics. PhD thesis Georgia Institute of Technology.
[19] Zou Q, He X, (1997) On pressure and velocity boundary conditions for the lattice boltzmann bgk model. Phys Fluids 9: 1591-1598.
[20] D’Orazio A, Succi S, (2004) Simulating two dimensional thermal channel flows by means of a lattice boltzmann method with new boundary conditions. future gener comp sy 20: 935-944.
[21] De Vahl Davis G, (1983) Natural convection of air in a square cavity: a benchmark numerical solution. Internat J Numer Methods Fluids 3: 249–264.
[22] D’Orazio A, Corcione M, Celata G P, (2004) Application to natural convection enclosed flows of a lattice Boltzmann BGK model coupled with a general purpose thermal boundary condition. Int J Therm Sci 43: 575-586.
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