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.
Received: 23 July 2008
Revised: 01 December 2008
Accepted manuscript online:
Fund: 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).
Cite this article:
Ran Zheng(冉政) Thermal equation of state for lattice Boltzmann gases 2009 Chin. Phys. B 18 2159
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