Entropy and weak solutions in the lattice Bhatnagar–Gross–Krook model

doi:10.1088/1674-1056/20/11/114702

Abstract We derive the entropy functions whose local equilibria are suitable to recover the Euler-like equations in the framework of the lattice Boltzmann method. Numerical examples are also given, which are consistent with the above theoretical arguments. In all cases, we observe a negative entropy range existing near the shock, while numerical oscillations are captured.

Keywords: lattice Boltzmann method entropy weak solution

Received: 24 March 2011
Revised: 18 May 2011
Accepted manuscript online:

PACS:	47.11.Qr	(Lattice gas)
	47.10.ad	(Navier-Stokes equations)
	51.10.+y	(Kinetic and transport 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).

Cite this article:

Ran Zheng(冉政) and Xu Yu-Peng(许宇鹏) Entropy and weak solutions in the lattice Bhatnagar–Gross–Krook model 2011 Chin. Phys. B 20 114702

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Entropy and weak solutions in the lattice Bhatnagar–Gross–Krook model

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