Feng Shi-de (冯士德)a, Tsutahara Michihisab, Ji Zhong-zhen (季仲贞)a
a Laboratory of Numerical Modelling for Atmospheric Sciences and Geophysical Fluid Dynamics, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China; b Division of Industrial Science, Graduate School of Technology and Science, Kobe University, Japan
Abstract A lattice Boltzmann equation model has been developed by using the equilibrium distribution function of the Maxwell－Boltzmann-like form, which is third order in fluid velocity $u_\alpha$. The criteria of energy conservation between the macroscopic physical quantities and the microscopic particles are introduced into the model, thus the thermal hydrodynamic equations containing the effect of buoyancy force can be recovered in terms of the Taylor and Chapman－Enskog asymptotic expansion methods. The two-dimensional thermal convection phenomena in a square cavity and between two concentric cylinders have been calculated by implementing a heat flux boundary condition. Both numerical results are in good agreement with the conventional numerical results.
Received: 16 January 2001
Revised: 13 January 2001
Accepted manuscript online:
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 49823002, 7-200053, 4-200060 and 8-1502) and by the National Key Planning Development Project for Basic Research (Grant No. G1999032801).
Cite this article:
Feng Shi-de (冯士德), Tsutahara Michihisa, Ji Zhong-zhen (季仲贞) SOME PROGRESS IN THE LATTICE BOLTZMANN MODEL 2001 Chinese Physics 10 587
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