| Burgers-Korteweg-de Vries复合方程的格子Boltzmann方法模拟 |
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| 引用本文： | 段雅丽,陈先进,孔令华.Burgers-Korteweg-de Vries复合方程的格子Boltzmann方法模拟[J].计算物理,2015,32(6):639-648. |
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| 作者姓名： | 段雅丽 陈先进 孔令华 |
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| 作者单位： | 1. 中国科学技术大学数学科学学院, 安徽 合肥 230026;2. 江西师范大学数学与信息科学学院, 江西 南昌 330022 |
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| 基金项目： | Supported by the NSFC(11101399,10901074);Fundamental Research Funds for Central Universities(WK0010000022) |
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| 摘 要： | 针对Burgers-Korteweg-de Vries(cBKdV)复合方程提出一种格子Boltzmann模型.通过恰当地处理色散项uxxx并运用Chapman-Enskog展开从格子Boltzmann方程推导出宏观方程,从而得到联系微观量与宏观量的局部平衡分布函数.对不同微分方程进行数值实验,数值解与解析解非常吻合,相比于其它数值结果,该格子Boltzmann模型的数值结果更精确,说明该数值模型的高效性.
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| 关 键 词： | 格子Boltzmann模型 Burgers-KdV复合方程 Chapman-Enskog展开 |
| 收稿时间： | 2014-11-05 |
| 修稿时间： | 2015-02-01 |
Lattice Boltzmann Model for Compound Burgers-Korteweg-de Vries Equation |
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| DUAN Yali,CHEN Xianjin,KONG Linghua.Lattice Boltzmann Model for Compound Burgers-Korteweg-de Vries Equation[J].Chinese Journal of Computational Physics,2015,32(6):639-648. |
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| Authors: | DUAN Yali CHEN Xianjin KONG Linghua |
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| Institution: | 1. School of Mathematical Sciences, University of Science and Technology of China, Hefei, Anhui 230026, China;2. School of Mathematics and Information Science, Jiangxi Normal University, Nanchang, Jiangxi 330022, China |
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| Abstract: | We develop a lattice Boltzmann model for compound Burgers-Korteweg-de Vries (cBKdV) equation. By properly treating dispersive term uxxx and applying Chapman-Enskog expansion, the governing equation is recovered correctly from lattice Boltzmann equation and local equilibrium distribution functions are obtained. Numerical experiments show that our results agree well with exact solutions and have better numerical accuracy compared with previous numerical results. This hence indicates that the model is satisfactory and efficient. |
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| Keywords: | Lattice Boltzmann model Compound Burgers-KdV equation Chapman-Enskog expansion |
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