A lattice Boltzmann model for the compressible Euler equations with second-order accuracy

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,...

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Bibliographic Details
Published in:International journal for numerical methods in fluids 2009-05, Vol.60 (1), p.95-117
Main Authors: Zhang, Jianying, Yan, Guangwu, Shi, Xiubo, Dong, Yinfeng
Format: Article
Language:English
Subjects:
compressible Euler equations
Compressible flows
shock and detonation phenomena
Computational methods in fluid dynamics
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
ghost field
lattice Boltzmann method
Physics
Shock-wave interactions and shock effects
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Summary: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.
ISSN:0271-2091
1097-0363
DOI:10.1002/fld.1883