文献类型：期刊文献

中文题名：A Pseudo-Kinetic Approach for Helmholtz Equation

英文题名：A Pseudo-Kinetic Approach for Helmholtz Equation

作者：Radjesvarane ALEXANDRE[1,2];Jie LIAO[3]

机构：[1]Department of Mathematics, Shanghai Jiao Tong University;[2]IRENAV Research Institute,French Naval Academy,Brest-Lanvoc 29290, France;[3]School of Science, East China University of Science and Technology

年份：2013

卷号：34

期号：3

起止页码：319

中文期刊名：Chinese Annals of Mathematics,Series B

外文期刊名：数学年刊（B辑英文版）

收录：CSTPCD;;Scopus;CSCD:【CSCD2013_2014】；

基金：Project supported by the National Natural Science Foundation of China (Nos. 11171211, 11171212);the Fundamental Research Funds for the Central Universities

语种：英文

中文关键词：Lattice Boltzmann scheme;Non-homogeneous Helmholtz equation;Discrete velocity

外文关键词：亥姆霍兹方程;动力学方法;格子Boltzmann;Helmholtz方程;散射问题;计算成本;动力学模型;非均匀介质

摘要：A lattice Boltzmann type pseudo-kinetic model for a non-homogeneous Helmholtz equation is derived in this paper. NumericM results for some model problems show the robustness and efficiency of this lattice Boltzmann type pseudo-kinetic scheme. The computation at each site is determined only by local parameters, and can be easily adapted to solve multiple scattering problems with many scatterers or wave propagation in nonhomogeneous medium without increasing the computational cost.