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一类特殊的9-bit格子Boltzmann模型
引用本文:王沁,姚令侃,汤家法.一类特殊的9-bit格子Boltzmann模型[J].西南交通大学学报,2005,40(4):553-557.
作者姓名:王沁  姚令侃  汤家法
作者单位:1. 西南交通大学土木工程学院,四川,成都,610031;西南交通大学理学院,四川,成都,610031
2. 西南交通大学土木工程学院,四川,成都,610031
基金项目:国家自然科学基金资助项目(50478085);本文得到西南交通大学基础研究项目资助(2004B16)
摘    要:基于传统流体力学的斯托克斯假设,对可压缩流体的Navier-Stokes方程的特点进行了分析.在此基础上,建立了既符合斯托克斯假设,又能模拟可压缩流体的9-bit格子Boltzmanrt模型,并运用格子Boltzmmm模型的相关理论确定了模型参数.最后,通过对尾流现象的模拟,验证了模型的可行性.

关 键 词:格子Boltzmann模型  Navier-Stokes方程  斯托克斯假设
文章编号:0258-2724(2005)04-0553-05
收稿时间:2005-02-25
修稿时间:2005-02-25

Special 9-Bit Lattice Boltzmann Model
WANG Qin,YAO Ling-kan,TANG Jia-fa.Special 9-Bit Lattice Boltzmann Model[J].Journal of Southwest Jiaotong University,2005,40(4):553-557.
Authors:WANG Qin  YAO Ling-kan  TANG Jia-fa
Institution:1. School of Civil Eng. , Southwest Jiaotong University, Chengdu 610031, China; 2. School of Science, Southwest Jiaotong University, Chengdu 610031, China
Abstract:Based on the Stokes hypothesis, the characteristics of the Navier-Stokes equation for compressible liquids were analyzed. Through the above analysis, a special 9-bit lattice Bohzmann model was set up. The proposed model not only satisfies the Stokes hypothesis but also can simulate compressible liquids. In addition, the parameters in this model were determined through using the relative theory of the lattice Boltzmann method. At last, the feasibility of the proposed model was proved through simulating the tail flow problem.
Keywords:lattice Boltzmann method (LBM)  Navier-Stokes equation  Stokes hypothesis
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