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ISRN Thermodynamics
Volume 2012 (2012), Article ID 253972, 9 pages
http://dx.doi.org/10.5402/2012/253972
Research Article

Simulating Turbulent Buoyant Flow by a Simple LES-Based Thermal Lattice Boltzmann Model

1Research and Development Center, Wisco, Wuhan 430084, China
2State Key Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan 430074, China

Received 14 December 2011; Accepted 30 January 2012

Academic Editors: P. Espeau, D. E. Khoshtariya, and P. Li

Copyright © 2012 Sheng Chen. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

To simulate turbulent buoyant flow in geophysical science, where usually the vorticity-streamfunction equations instead of the primitive-variables Navier-Stokes equations serve as the governing equations, a novel and simple thermal lattice Boltzmann model is proposed based on large eddy simulation (LES). Thanks to its intrinsic features, the present model is efficient and simple for thermal turbulence simulation. Two-dimensional numerical simulations of natural convection in a square cavity were performed at high Rayleigh number varying from 104 to 1010 with Prandtl number at 0.7. The advantages of the present model are validated by numerical experiments.