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Chin. Phys. B, 2009, Vol. 18(6): 2159-2167    DOI: 10.1088/1674-1056/18/6/009
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Thermal equation of state for lattice Boltzmann gases

Ran Zheng(冉政)
Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China
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.
Keywords:  lattice Boltzmann method      thermal equation of state      Galilean invariance  
Received:  23 July 2008      Revised:  01 December 2008      Accepted manuscript online: 
PACS:  47.11.Qr (Lattice gas)  
  47.10.ad (Navier-Stokes equations)  
  47.45.Ab (Kinetic theory of gases)  
  51.30.+i (Thermodynamic properties, equations of state)  
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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