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A multi‐energy‐level lattice Boltzmann model for two‐dimensional wave equation
Authors:Xiubo Shi  Guangwu Yan  Jianying Zhang
Institution:College of Mathematics, Jilin University, Changchun 130012, People's Republic of China
Abstract: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.
Keywords:lattice Boltzmann model  wave equation  interference and diffraction
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