This work is subsidized by the Special Funds for Major State Basic Research Projects (G1999022207) and the National Natural Science Foundation of China (6073044).
A coupled lattice BGK model for the Boussinesq equations†
Article first published online: 22 MAY 2002
Copyright © 2002 John Wiley & Sons, Ltd.
International Journal for Numerical Methods in Fluids
Volume 39, Issue 4, pages 325–342, 10 June 2002
How to Cite
Guo, Z., Shi, B. and Zheng, C. (2002), A coupled lattice BGK model for the Boussinesq equations. Int. J. Numer. Meth. Fluids, 39: 325–342. doi: 10.1002/fld.337
- Issue published online: 22 MAY 2002
- Article first published online: 22 MAY 2002
- Manuscript Revised: DEC 2001
- Manuscript Received: JAN 2000
- lattice BGK method;
- porous plate problem;
- natural convection
In this paper, a thermal lattice BGK model is developed for the Boussinesq incompressible fluids. The basic idea is to solve the velocity field and the temperature field using two independent lattice BGK equations, respectively, and then combine them into one coupled model for the whole system. The porous plate problem and the two-dimensional natural convection flow in a square cavity with Pr=0.71 and various of Rayleigh numbers are simulated using the model. The numerical results are found to be in good agreement with the analytical solutions or those of previous studies. Copyright © 2002 John Wiley & Sons, Ltd.