文献类型：期刊文献

英文题名：A pseudo-kinetic approach for Helmholtz equation

作者：Alexandre, Radjesvarane[1,2];Liao, Jie[3]

机构：[1]Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China;[2]French Naval Acad, IRENAV Res Inst, F-29290 Brest, France;[3]E China Univ Sci & Technol, Sch Sci, Shanghai 200237, Peoples R China

年份：2013

卷号：34

期号：3

起止页码：319

外文期刊名：CHINESE ANNALS OF MATHEMATICS SERIES B

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000318645400001)】；

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

语种：英文

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

摘要：A lattice Boltzmann type pseudo-kineticmodel for a non-homogeneous Helmholtz equation is derived in this paper. Numerical 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.