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| A Pseudo-Kinetic Approach for Helmholtz Equation |
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Citation： |
Radjesvarane ALEXANDRE,Jie LIAO.A Pseudo-Kinetic Approach for Helmholtz Equation[J].Chinese Annals of Mathematics B,2013,34(3):319~332 |
| Page view： 3979
Net amount： 2879 |
Authors： |
Radjesvarane ALEXANDRE; Jie LIAO; |
Foundation： |
the National Natural Science Foundation of China (Nos. 11171211, 11171212) and the Fundamental Research Funds for the Central Universities |
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| Abstract： |
A lattice Boltzmann type pseudo-kinetic model for a non-homogeneous Helmhol-tz 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 non-homogeneous medium without increasing the computational cost. |
Keywords： |
Lattice Boltzmann scheme, Non-homogeneous Helmholtz equation,Discrete velocity |
Classification： |
35A05,35B65,35D10,35H20,76P05,84C40 |
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