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A lattice Boltzmann model for two‐dimensional sound wave in the small perturbation compressible flows
Authors:Jianying Zhang  Guangwu Yan  Bo Yan  Xiubo Shi
Institution:College of Mathematics, Jilin University, Changchun 130012, People's Republic of China
Abstract: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.
Keywords:lattice Boltzmann model  sound wave equation  Doppler effect
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