数理化科学

热格子Boltzmann方法分析及应用

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  • 上海大学 上海市应用数学和力学研究所,上海 200072

收稿日期: 2011-09-09

  网络出版日期: 2012-10-30

基金资助

教育部创新团队资助项目(IRT0844);上海市优秀学术带头人资助项目(11XD1402300)

Analysis and Application of Thermal Lattice Boltzmann Method

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  • Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China

Received date: 2011-09-09

  Online published: 2012-10-30

摘要

格子Boltzmann方法(lattice Boltzmann method,LBM)是一种基于气体动理论的介观计算方法,其物理背景清晰、边界处理简单,已成功应用于等温(或无热)流动中.简要介绍现有的几种热格子Boltzmann模型,并运用几种热格子模型求解热Couette流、方腔自然对流等典型算例,对比不同热格子模型的数值稳定性、准确性、模型的计算效率等.将两种热格子模型用于多孔介质内的流动与传热问题中,对比热格子模型在处理复杂结构时的数值特性.

本文引用格式

陈杰,钱跃竑 . 热格子Boltzmann方法分析及应用[J]. 上海大学学报(自然科学版), 2012 , 18(5) : 489 -495 . DOI: 10.3969/j.issn.1007-2861.2012.05.010

Abstract

Lattice Boltzmann method (LBM) is a mesoscale computational method based on the gas kinetic theory. For solving Fourier-Navier-Stokes equations, the thermal lattice model has attracted much research attention. This paper compares several thermal lattice models in terms of accuracy, stability and computational efficiency. The thermal flow in pore-scale porous is also studied using different thermal lattice models.
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