计算物理 ›› 1995, Vol. 12 ›› Issue (4): 547-553.
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李元香, 陈炬桦, 黄樟灿
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Li Yuanziang, Chen Juhua, Huang Zhangchan
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摘要： 研究一个简单的二维三速格子Boltzmann模型。将微观的离散模型与宏观的连续统模型相结合,以宏观的流体力学方程作为约束条件确定局部平衡分布函数。运用Chapmann-Enskog展开法和多尺度技术导出Euler方程和Navier-Stokes方程以及模型的粘性系数表达式。
关键词: 格子Boltzmann方法, Navier-Stokes方程, 空腔流问题
Abstract: A simple two-dimensional lattice Boltzmann model with three speeds is studied. The local equilibrium distribution functions are determined under the restrained conditions of fluid dynamics by connecting the discrete model with the continuum macro-models. Euler equation and Navier-tokes equation are derived by using Chapman-Enskog expansion and multi-scalar technique, and the viscosity formula is also provided.The model has been applied to cavity flow problem with satisfactory results.
Key words: Lattice Boltzmann method, Navier-Stokes equation, cavity flow problem
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O357
李元香, 陈炬桦, 黄樟灿. LB方法的一个简单多速模型[J]. 计算物理, 1995, 12(4): 547-553.
Li Yuanziang, Chen Juhua, Huang Zhangchan. A SIMPLE MULTI-SPEED MODEL OF LB METHOD[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 1995, 12(4): 547-553.
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