中国物理B ›› 2009, Vol. 18 ›› Issue (6): 2159-2167.doi: 10.1088/1674-1056/18/6/009

• GENERAL • 上一篇    下一篇

Thermal equation of state for lattice Boltzmann gases

冉政   

  1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China
  • 收稿日期:2008-07-23 修回日期:2008-12-01 出版日期:2009-06-20 发布日期:2009-06-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 90816013 and 10572083), and Shanghai Leading Academic Discipline Project, China (Grant No Y0103).

Thermal equation of state for lattice Boltzmann gases

Ran Zheng(冉政)   

  1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China
  • Received:2008-07-23 Revised:2008-12-01 Online:2009-06-20 Published:2009-06-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 90816013 and 10572083), and Shanghai Leading Academic Discipline Project, China (Grant No Y0103).

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摘要： The Galilean invariance and the induced thermo-hydrodynamics of the lattice Boltzmann Bhatnagar--Gross--Krook model are proposed together with their rigorous theoretical background. From the viewpoint of group invariance, recovering the Galilean invariance for the isothermal lattice Boltzmann Bhatnagar--Gross--Krook equation (LBGKE) induces a new natural thermal-dynamical system, which is compatible with the elementary statistical thermodynamics.

Abstract: The Galilean invariance and the induced thermo-hydrodynamics of the lattice Boltzmann Bhatnagar--Gross--Krook model are proposed together with their rigorous theoretical background. From the viewpoint of group invariance, recovering the Galilean invariance for the isothermal lattice Boltzmann Bhatnagar--Gross--Krook equation (LBGKE) induces a new natural thermal-dynamical system, which is compatible with the elementary statistical thermodynamics.

Key words: lattice Boltzmann method, thermal equation of state, Galilean invariance

中图分类号:  (Lattice gas)

  • 47.11.Qr
47.10.ad (Navier-Stokes equations) 47.45.Ab (Kinetic theory of gases) 51.30.+i (Thermodynamic properties, equations of state)