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A multi‐energy‐level lattice Boltzmann model for two‐dimensional wave equation
Author(s) -
Shi Xiubo,
Yan Guangwu,
Zhang Jianying
Publication year - 2009
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.2146
Subject(s) - lattice boltzmann methods , boltzmann equation , hpp model , wave equation , statistical physics , mathematics , physics , diffraction , mathematical analysis , mechanics , quantum mechanics , reynolds number , turbulence
A lattice Boltzmann model for two‐dimensional wave equation is presented. In this model, we used higher‐order moment method, multi‐scale technique and Chapman–Enskog expansion, and multi‐energy‐level to obtain wave equation and energy conservation equation. As numerical examples, the interference and diffraction of wave are simulated. The numerical results show this model can be used to simulate two‐dimensional wave propagation. Copyright © 2009 John Wiley & Sons, Ltd.