一种定常可压缩流动的格子Boltzmann模型.pdf

International Journal of Fluid Dynamics 流体动力学, 2017, 5(1), 10-21 Published Online March 2017 in Hans. /journal/ijfd /10.12677/ijfd.2017.51002 A Lattice Boltzmann Model for the Steady State Compressible Flows 1 1 2 Bo Yan , Jianchao Wang , Guangwu Yan 1 College of Civil Engineering, Jilin Jianzhu University, Changchun Jilin 2 College of Mathematics, Jilin University, Changchun Jilin th th th Received: Feb. 20 , 2017; accepted: Mar. 6 , 2017; published: Mar. 9 , 2017 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, com- parison between numerical results of the lattice Boltzmann models and exact solution is given. The numerical results agree well with the classical one. Keywords Lattice Boltzmann Model, Compressible Flows, Steady State Lattice Boltzmann Equation 一种定常可压缩流动的格子Boltzmann模型 1 1 2 闫 铂 ，王建朝，闫广武 1吉林建筑大学土木工程学院，吉林 长春 2 吉林大学数学学院，吉林 长春 收稿日期：2017年2月20 日；录用日期：2017年3月6 日；发布日期：2017年3月9 日 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 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.