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A lattice Boltzmann model for two‐dimensional sound wave in the small perturbation compressible flows
Author(s) -
Zhang Jianying,
Yan Guangwu,
Yan Bo,
Shi Xiubo
Publication year - 2011
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.2349
Subject(s) - lattice boltzmann methods , physics , compressibility , boltzmann equation , hpp model , mathematical analysis , mathematics , statistical physics , acoustics , classical mechanics , mechanics , turbulence , quantum mechanics , reynolds number
A multi‐entropy‐level lattice Boltzmann model for two‐dimensional sound wave equation in the small perturbation flows is presented. In this model, we used higher‐order moment method, multi‐scale technique and the Chapman–Enskog expansion, and multi‐entropy‐level to obtain sound wave equation with isentropic equation. As numerical examples, the Doppler effects in the sound wave propagation, the sound scattering from circular cylinder are simulated. The numerical results show that this model can be used to simulate sound wave propagation. Copyright © 2010 John Wiley & Sons, Ltd.