On Symmetries of 1D Lattice-Boltzmann Equation

Ran Zheng

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On Symmetries of 1D Lattice-Boltzmann Equation

Ran Zheng * #

Shanghai Institute of Applied Mathematics and Mechanics

*Correspondence author

#Submitted by

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Funding: none

Opened online:27 October 2005

Accepted by: none

Citation: Ran Zheng.On Symmetries of 1D Lattice-Boltzmann Equation[OL]. [27 October 2005] http://en.paper.edu.cn/en_releasepaper/content/3394

The Galilean and similarity invariance inherent in Navier-Stokes equations are not really recovered in one dimensional lattice Boltzmann equation, especially for shock calculation. Qian’s theoretical development recovering Navier-Stokes equations in LBE is questionable.

Keywords: LBE, invariance

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