| 用于求解Poisson方程的格子Boltzmann模型 |
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| 引用本文： | 王博宇,闫广武. 用于求解Poisson方程的格子Boltzmann模型[J]. 吉林大学学报(理学版), 2015, 53(3): 407-413 |
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| 作者姓名： | 王博宇 闫广武 |
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| 作者单位： | 吉林大学 数学学院, 长春 130012 |
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| 摘 要： | 提出一个求解Poisson方程的格子Boltzmann模型.通过使用Chapman-Enskog展开和多尺度展开得到了在不同时间尺度下的系列偏微分方程及平衡态分布函数和具有三阶截断的误差修正Poisson方程.用该模型计算Kolmogorov流和Green-Taylor涡流,并与解析解进行比较,计算结果表明,数值结果与经典解析结果基本相符.
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| 关 键 词： | 格子Boltzmann模型 Poisson方程 Kolmogorov流 |
| 收稿时间： | 2014-09-29 |
Lattice Boltzmann Model for Poisson Equation |
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| WANG Boyu , YAN Guangwu. Lattice Boltzmann Model for Poisson Equation[J]. Journal of Jilin University: Sci Ed, 2015, 53(3): 407-413 |
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| Authors: | WANG Boyu YAN Guangwu |
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| Affiliation: | College of Mathematics, Jilin University, Changchun 130012, China |
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| Abstract: | A lattice Boltzmann model for the Poisson equation was proposed. By means of the Chapman Enskog expansion and the multi scale time expansion, a series of partial differential equations in different time scales wasobtained. Moreover, the equilibrium distribution functions and the modified partial differential equation of the Poisson equation with the third order truncation error were obtained. In numerical examples, the Kolmogorov flow and Green Taylor vortex flow were simulated, and the comparison between numerical results of the lattice Boltzmann models and exact solutions were given. The numerical results are acceptable. |
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| Keywords: | lattice Boltzmann model Poisson equation Kolmogorov flow |
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