Lattice Boltzmann models for the convection-diffusion equation: D2Q5 vs D2Q9
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- 作者：Like Li<sup>asup><sup> ; sup><sup>likelichina@ufl.edusup> ; Renwei Mei<sup>asup> ; James F. Klausner<sup>bsup>
- 关键词：Lattice Boltzmann (LB) ; Convection-diffusion equation ; D2Q5 ; D2Q9 ; Dirichlet boundary condition ; Neumann boundary condition
- 刊名：International Journal of Heat and Mass Transfer
- 出版年：2017
- 出版时间：May 2017
- 年：2017
- 卷：108
- 期：part_PA
- 页码：41-62
- 全文大小：2907 K
- 卷排序：108
文摘
A direct comparison between the D2Q5 and D2Q9 LB models for the convection-diffusion equation is presented. The main conclusion that D2Q5 is more robust and accurate than D2Q9 in general is supported with detailed numerical tests. Similar conclusions are obtained in 3D by comparing D3Q7 and D3Q19. The effect of boundary condition treatment on the accuracy of the lattice Boltzmann solutions is investigated for both D2Q5 and D2Q9.