| 网格因素对格子Boltzmann方法误差的影响 |
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| 引用本文： | 韩善灵,林忠钦,朱平.网格因素对格子Boltzmann方法误差的影响[J].上海交通大学学报,2006,40(6):932-935,941. |
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| 作者姓名： | 韩善灵 林忠钦 朱平 |
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| 作者单位： | 1. 上海交通大学,机械与动力工程学院,上海,200030;山东科技大学,机械电子工程学院,青岛,266510
2. 上海交通大学,机械与动力工程学院,上海,200030 |
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| 摘 要： | 基于外推法的思想,提出了格子Boltzmann方法中的误差计算方法.该方法在粗细两种网格下,采用Filippova提出的分布函数耦合方法推导出误差的计算公式,其主要误差项与格子大小和分布函数中的非平衡态部分成正比.最后用垂直平板障碍绕流作为一个数值计算实例,验证了理论推导与数值试验结果是一致的.
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| 关 键 词： | 格子Boltzmann方法 误差估计 外推法 垂直平板障碍绕流 |
| 文章编号： | 1006-2467（2006）06-0932-04 |
| 收稿时间： | 2005-06-18 |
| 修稿时间： | 2005-06-18 |
The Influence of Mesh on Lattice Boltzmann Method Error |
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| HAN Shan-ling,LIN Zhong-qin,ZHU Ping.The Influence of Mesh on Lattice Boltzmann Method Error[J].Journal of Shanghai Jiaotong University,2006,40(6):932-935,941. |
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| Authors: | HAN Shan-ling LIN Zhong-qin ZHU Ping |
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| Institution: | 1. School of Mechanical Eng. , Shanghai Jiaotong Univ. , Shanghai 200030, China; 2. College of Mechanical and Electronic Eng. , Shandong Univ. of Science and Technology, Qingdao 266510 |
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| Abstract: | According to the extrapolation technique,the error estimation method of lattice Boltzmann method was proposed.In the coarse and fine meshes,the distribution function coupling method proposed by Filippova is adopted to deduce the error calculation formula.It shows that the main error of lattice Boltzmann method is proportional to the lattice size and the non-equilibrium part of the distribution function.Finally,the proposed error analysis method was validated by the numerical simulation of the flow around a vertical plant obstacle.The numerical results agree well with the theory analysis results. |
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| Keywords: | lattice Boltzmann method error estimation extrapolation technique flow around a vertical plant obstacle |
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