一种用于Poisson方程的四阶差分型格子Boltzmann模型
A Four-Order Difference Type Lattice Boltzmann Model for the Poisson Equation
DOI: 10.12677/IJFD.2017.51003, PDF,    国家自然科学基金支持
作者: 闫铂, 王建朝：吉林建筑大学土木工程学院，吉林 长春；闫广武：吉林大学数学学院，吉林 长春
关键词: 有限差分法；格子Boltzmann模型；Poisson方程；Finite Difference Method； Lattice Boltzmann Model； Poisson Equation
摘要: 本文给出了用于求解Poisson方程的四阶差分型格子Boltzmann模型，应用定常的格子Boltzmann方程和空间多尺度展开，得到了截断误差是四阶精度的Poisson方程。数值例子表明，该模型在精度上较相应的二阶模型有所提高。
Abstract: A four-order difference type lattice Boltzmann model is employed to investigate the Poisson equation in this paper. By using the steady lattice Boltzmann equation and the multi-spatial scale expansion, the Poisson equation with four-order accuracy is obtained. Examples show that the numerical results agree well with exact solutions.
文章引用：闫铂, 王建朝, 闫广武. 一种用于Poisson方程的四阶差分型格子Boltzmann模型[J]. 流体动力学, 2017, 5(1): 22-28. https://doi.org/10.12677/IJFD.2017.51003

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