Computers and Mathematics with Applications
In this paper we study the lattice Boltzmann equation (LBE) with multiple-relaxation-time (MRT) collision model for incompressible thermo-hydrodynamics with the Boussinesq approximation. We use the MRT thermal LBE (TLBE) to simulate the following two flows in two dimensions: the square cavity with differentially heated vertical walls and the Rayleigh-Benard convection in a rectangle heated from below. For the square cavity, the flow parameters in this study are the Rayleigh number Ra = 103-106, and the Prandtl number Pr = 0.71; and for the Rayleigh-Benard convection in a rectangle, Ra = 2 . 103, 104 and 5 . 104, and Pr = 0.71 and 7.0.
Original Publication Citation
Wang, J., Wang, D. H., Lallemand, P., & Luo, L. S. (2013). Lattice Boltzmann simulations of thermal convective flows in two dimensions. Computers and Mathematics with Applications, 65(2), 262-286. doi:10.1016/j.camwa.2012.07.001
Wang, Jia; Wang, Donghai; Lallemand, Pierre; and Luo, Li-Shi, "Lattice Boltzmann Simulations of Thermal Convective Flows in Two Dimensions" (2013). Mathematics & Statistics Faculty Publications. 60.