| 偏微分方程求解的一种新颖方法-格子Boltzmann模型 |
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| 引用本文： | 乐励华,高云,刘唐伟. 偏微分方程求解的一种新颖方法-格子Boltzmann模型[J]. 大学数学, 2011, 27(3): 75-82 |
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| 作者姓名： | 乐励华 高云 刘唐伟 |
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| 作者单位： | 东华理工大学数学,与信息科学学院,江西,抚州,344000 |
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| 基金项目： | 国家自然科学基金项目“复杂流动的格子Boltzmann建模与计算机仿真”(60773195); 中国科学院边缘海地质重点实验室开放研究基金课题“孔隙裂隙介质中多相流体逾渗模型及数值模拟”(2010.1—2011.12) |
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| 摘 要： | 介绍了一种偏微分方程求解的一种新颖方法格子Boltzmann模型,详细分析了它的基本理论和基本原理.并通过不可压Navier-Stokes方程组和二维含源项扩散方程的数值模拟计算实例,说明格子Boltzmann方法的有效性,展示了广阔的应用前景,为今后更深入的研究和广泛应用提供参考.
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| 关 键 词： | 格子Boltzmann方法 平衡态分布函数 D2Q9模型 Navier-Stokes方程 对流-扩散方程 |
A Novel Method for the Partial Differential Equation to Solve -Lattice Boltzmann Model |
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| LE Li-hua,GAO Yun,LIU Tang-wei. A Novel Method for the Partial Differential Equation to Solve -Lattice Boltzmann Model[J]. College Mathematics, 2011, 27(3): 75-82 |
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| Authors: | LE Li-hua GAO Yun LIU Tang-wei |
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| Affiliation: | LE Li-hua,GAO Yun,LIU Tang-wei(School of Mathematics & Information Science,East China Institute of Technology Fuzhou,Jiangxi 344000,China) |
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| Abstract: | We introduce a novel method for the partial differential equation to solve-Lattice Boltzmann model,The basic theory and basic principle of LBM is analyzed in detail.Two results illustrate that Lattice Boltzmann method is right,effective through numerical simulation on incompressible Navier-Stokes equation and the 2-dimensional diffusion equation with the source term,that shows a wide application prospect to us,which probably provides reference for intensive research and extensive applications later on. |
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| Keywords: | lattice Boltzmann method equilibrium distribution functions D2Q9 model Navier-Stokes equation convection-diffusion equation |
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