Title: A unified thermal Lattice BGK model for Boussinesq equations

Authors: Baochang Shi, Nanzhong He, Nengchao Wang

Addresses: Department of Mathematics, State Key Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan 430074, China. ' School of Computer Science and Technology, Huazhong University of Science and Technology, Wuhan 430074, China. ' Department of Mathematics, School of Computer Science and Technology, Huazhong University of Science and Technology, Wuhan 430074, China

Abstract: A unified thermal Lattice Bhatnagar-Gross-Krook (LBGK) model for the Boussinesq incompressible fluids is introduced. In the model, the velocity and temperature fields are solved by two independent LBGK equations which are combined into a coupled one for the whole system. Numerical simulations of three-dimensional natural convection flow in rectangular enclosures with differentially heated vertical walls are performed at Rayleigh numbers 1.5 × 10³ – 7.5 × 10⁴ and Prandtl numbers 0.015 and 0.025. The numerical results are compared with those of a previous study.

Keywords: unified thermal Lattice BGK model; Boussinesq equation; natural convection; incompressible fluids; simulation.

DOI: 10.1504/PCFD.2005.005817

Progress in Computational Fluid Dynamics, An International Journal, 2005 Vol.5 No.1/2, pp.50 - 64

Published online: 08 Dec 2004 *

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