CORRECTIONS TO THE COLLISION TERM IN THE BGK BOLTZMANN EQUATION
Feng Shi-de (冯士德), Ren Rong-cai (任荣彩), Cui Xiao-peng (崔晓鹏), Ji Zhong-zhen (季仲贞)
State Key Laboratory of Numerical Modelling for Atmospheric Sciences and Geophysical Fluid Dynamics, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China
Abstract With the discrete method of the hexagonal cell and three different velocities of particle population in each cell, a two-dimensional lattice Boltzmann model is developed in this paper.[1,2] The collision operator in the Boltzmann equation is expanded to fourth order using the Taylor expansion.[3,4] With this model, good results have been obtained from the numerical simulation of the reflection phenomenon of the shock wave on the surface of an obstacle, and the numerical stability is also good. Thus the applicability of the D2Q 19 model is verified.
Received: 23 July 2001
Revised: 13 August 2001
Accepted manuscript online:
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 49823002, 7-200053,4-200060), and by the State Key Development Programme for Basic Research of China (Grant No. G1998040904, G1999032801).
Cite this article:
Feng Shi-de (冯士德), Ren Rong-cai (任荣彩), Cui Xiao-peng (崔晓鹏), Ji Zhong-zhen (季仲贞) CORRECTIONS TO THE COLLISION TERM IN THE BGK BOLTZMANN EQUATION 2001 Chinese Physics 10 1106
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