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A multi‐energy‐level lattice Boltzmann model for the compressible Navier–Stokes equations
Author(s) -
Yan Guangwu,
Zhang Jianying,
Liu Yanhong,
Dong Yinfeng
Publication year - 2007
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.1440
Subject(s) - lattice boltzmann methods , compressibility , mathematics , navier–stokes equations , compressible flow , mathematical analysis , classification of discontinuities , truncation (statistics) , physics , classical mechanics , statistical physics , mechanics , statistics
In this paper, we propose a new lattice Boltzmann model for the compressible Navier–Stokes equations. The new 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. As the 25‐bit model, we obtained the equilibrium distribution functions and the compressible Navier–Stokes equations with the second accuracy of the truncation errors. The numerical examples show that the model can be used to simulate the shock waves, contact discontinuities and supersonic flows around circular cylinder. The numerical results are compared with those obtained by traditional method. Copyright © 2007 John Wiley & Sons, Ltd.