| 应用于非线性热传导方程的格子玻尔兹曼方法 |
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| 引用本文： | 张东辉,刘方贵,张金存,芮孝芳.应用于非线性热传导方程的格子玻尔兹曼方法[J].计算物理,2010,27(5):699-704. |
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| 作者姓名： | 张东辉 刘方贵 张金存 芮孝芳 |
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| 作者单位： | 1. 江苏科技大学, 船舶与海洋学院, 江苏 镇江 212003;2. 广西大学, 土木建筑学院, 广西 南宁 530004;3. 山东大学, 土木建筑学院, 山东 济南 250061;4. 河海大学, 水文水资源学院, 江苏 南京 210098 |
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| 摘 要： | 将格子玻尔兹曼方法应用于非线性热传导方程的求解,详细推导一种新的Lattice Boltzmann模型,并给出新方法所对应的多尺度方案和宏观量形式.导热系数与温度之间满足多项式函数关系,计算中模拟了不同的参数情况,并与线性热传导方程的理论解进行比较.新的Lattice Boltzmann方法展现出极大的灵活性和普适性,具有很好的应用前景.
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| 关 键 词： | 格子玻尔兹曼方法 非线性 热传导方程 |
| 收稿时间： | 2009-08-26 |
| 修稿时间： | 2009-11-16 |
Nonlinear Heat Conduction Equation Solved with Lattice Boltzmann Method |
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| ZHANG Donghui,LIU Fanggui,ZHANG Jincun,RUI Xiaofang.Nonlinear Heat Conduction Equation Solved with Lattice Boltzmann Method[J].Chinese Journal of Computational Physics,2010,27(5):699-704. |
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| Authors: | ZHANG Donghui LIU Fanggui ZHANG Jincun RUI Xiaofang |
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| Institution: | 1. Jiangsu University of Science & Technology, School of Naval Architecture & Ocean Engineering, Zhenjiang 212003, China;2. Guangxi University, School of Civil Engineering, Nanning 530004, China;3. Shandong University, School of Civil Engineering, Jinan 250061, China;4. Hohai University, College of Water Resource and Enviroment, Nanjing 210098, China |
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| Abstract: | Lattice Boltzmann method is employed to study nonlinear heat conduction problems.A kind of lattice Boltzmann model is derived in details and multi-scale algorithm and macroscopic quantity are selected.It is proposed to solve transient responses of nonlinear heat conduction problems.The relation between heat conductivity and temperature meets the multi-polynomial function.Different parameters are considered to verify feasibility of the proposed method.Simulation results are illustrated with comparison in linear case. |
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| Keywords: | lattice Boltzmann method nonlinear heat conduction equation |
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