一种定常可压缩流动的格子Boltzmann模型
A Lattice Boltzmann Model for the Steady State Compressible Flows
DOI: 10.12677/IJFD.2017.51002, 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: 格子Boltzmann模型；可压缩流动；定常格子Boltzmann方程；Lattice Boltzmann Model； Compressible Flows； Steady State Lattice Boltzmann Equation
摘要: 本文给出了一种用于定常可压缩流动的多能级格子Boltzmann模型。我们使用Chapman-Enskog展开和空间多尺度展开技术描述平衡态分布函数的高阶矩和不同空间尺度的系列方程，进而得到了具有高阶误差的Euler方程的修正方程。我们还给出了格子Boltzmann模型的数值模拟结果与解析解的比较。结果表明，数值模拟结果与解析解吻合的很好。
Abstract: In this paper, a multi-energy-level lattice Boltzmann model for the steady state compressible flows is proposed. Firstly, the Chapman-Enskog expansion and the multi-spatial scale expansion are used to describe the higher-order moment of equilibrium distribution functions and a series of partial differential equations in different spatial scales. Secondly, the modified partial differential equation of the Euler equation with the higher-order truncation error is obtained. Thirdly, comparison between numerical results of the lattice Boltzmann models and exact solution is given. The numerical results agree well with the classical one.
文章引用：闫铂, 王建朝, 闫广武. 一种定常可压缩流动的格子Boltzmann模型[J]. 流体动力学, 2017, 5(1): 10-21. https://doi.org/10.12677/IJFD.2017.51002

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