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A lattice Boltzmann model for the compressible Euler equations with second‐order accuracy
Author(s) -
Zhang Jianying,
Yan Guangwu,
Shi Xiubo,
Dong Yinfeng
Publication year - 2008
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1883
Subject(s) - lattice boltzmann methods , euler equations , mathematics , compressibility , bhatnagar–gross–krook operator , boltzmann equation , lattice gas automaton , euler's formula , hpp model , mathematical analysis , distribution function , statistical physics , compressible flow , boltzmann distribution , classical mechanics , physics , mechanics , quantum mechanics , algorithm , turbulence , stochastic cellular automaton , cellular automaton , reynolds number
Abstract In this paper, we propose a new lattice Boltzmann model for the compressible Euler equations. The model is based on a three‐energy‐level and three‐speed lattice Boltzmann equation by using a method of higher moments of the equilibrium distribution functions. In order to obtain second‐order accuracy, we employ the ghost field distribution functions to remove the non‐physical viscous parts. We also use the conditions of the higher moment of the ghost field equilibrium distribution functions to obtain the equilibrium distribution functions. In the numerical examples, we compare the numerical results of this scheme with those obtained by other lattice Boltzmann models for the compressible Euler equations. Copyright © 2008 John Wiley & Sons, Ltd.