| 基于 Cercignani 解的格子 Boltzmann 模型 |
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| 引用本文： | 阎广武,马东辉.基于 Cercignani 解的格子 Boltzmann 模型[J].吉林大学学报(理学版),2000(2):16-18. |
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| 作者姓名： | 阎广武 马东辉 |
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| 作者单位： | 吉林大学数学系,长春,130023 |
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| 基金项目： | 中国科学院力学研究所 LNM 开放实验室基金 |
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| 摘 要： | 给出用于求解Euler方程的格子Cercignani-Boltzmann方法。通过引入特征线，使在特征线上的分布函数满足Cercignani解。经线性展开，建立与标准格子Boltzmann方程的联系。特别地，考虑到平衡态分布函数在初始时可能出现的间断，给出一个很好的平衡态分布，并满足守恒条件和部分流条件。
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| 关 键 词： | 格子 Boltzmann 方法 Cercignani 解 Euler 方程 Rankine-Hugoniot 条件 |
| 文章编号： | 0529-0279(2000)02-0016-03 |
| 修稿时间： | 1999-10-14 |
The Lattice Boltzmann Model Based on the Cercignani Solution |
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| YAN Guang-wu,MA Dong-hui.The Lattice Boltzmann Model Based on the Cercignani Solution[J].Journal of Jilin University: Sci Ed,2000(2):16-18. |
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| Authors: | YAN Guang-wu MA Dong-hui |
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| Institution: | YAN Guang-wu
,MA Dong-hui
;(Department of Mathematics, Jilin University, Changchun, 130023) |
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| Abstract: | We proposed a lattice Cercignani Boltzmann method for Euler equations. We obtained the Cercignani solution by using the characteristics. We also presented the relation between the method and the standard lattice Boltzmann method by linear expansion. In particular, we consider that the initial equilibrium distribution function is discontinuous. The key step is to find a suitable equilibrium distribution function with conservation conditions and the flux conditions. |
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| Keywords: | lattice Boltzmann method Cercignani solution Euler equation Rankine-Hugoniot conditon |
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