中国物理B ›› 2001, Vol. 10 ›› Issue (12): 1106-1109.doi: 10.1088/1009-1963/10/12/304

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CORRECTIONS TO THE COLLISION TERM IN THE BGK BOLTZMANN EQUATION

冯士德, 任荣彩, 崔晓鹏, 季仲贞   

  1. State Key Laboratory of Numerical Modelling for Atmospheric Sciences and Geophysical Fluid Dynamics, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China
  • 收稿日期:2001-07-23 修回日期:2001-08-13 出版日期:2001-12-15 发布日期:2005-06-12
  • 基金资助:
    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).

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)   

  1. State Key Laboratory of Numerical Modelling for Atmospheric Sciences and Geophysical Fluid Dynamics, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China
  • Received:2001-07-23 Revised:2001-08-13 Online:2001-12-15 Published:2005-06-12
  • Supported by:
    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).

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摘要： 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.

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.

Key words: lattice Boltzmann model, collision operator, shock wave

中图分类号:  (Transport processes)

  • 05.60.-k
05.50.+q (Lattice theory and statistics) 47.40.Nm (Shock wave interactions and shock effects)