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.
Progress in Computational Fluid Dynamics, An International Journal, 2005 Vol.5 No.1/2, pp.50 - 64
Published online: 08 Dec 2004 *Full-text access for editors Access for subscribers Purchase this article Comment on this article