LBM与宏观数值方法界面信息耦合的重构算子

徐辉; 栾辉宝; 陶文铨

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LBM与宏观数值方法界面信息耦合的重构算子

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- LBM与宏观数值方法界面信息耦合的重构算子
- A Reconstruction Operator for Interface Coupling Between LBM and Macro-Numerical Methods of Finite-Family
- 西安交通大学学报 2009年43卷第11期页码：6-10
- 作者机构：
  
  西安交通大学能源与动力工程学院,西安,710049
- 作者简介：
- 基金信息：
  
  : 2009-04-06. 作者简介: 徐辉(1981-),男,博士生;陶文铨(联系人), 男,教授, 博士生导师,中国科学院院士.基金项目: 国家自然科学基金重点资助项目(50636050)
- DOI：
  中图分类号： TK124
- 网络首发：2009-11-10，
  
  纸质出版：2009
- 稿件说明：
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徐辉, 栾辉宝, 陶文铨. LBM与宏观数值方法界面信息耦合的重构算子[J]. 西安交通大学学报, 2009,43(11):6-10.

A Reconstruction Operator for Interface Coupling Between LBM and Macro-Numerical Methods of Finite-Family[J]. 2009, 43(11): 6-10.
徐辉, 栾辉宝, 陶文铨. LBM与宏观数值方法界面信息耦合的重构算子[J]. 西安交通大学学报, 2009,43(11):6-10. DOI：

A Reconstruction Operator for Interface Coupling Between LBM and Macro-Numerical Methods of Finite-Family[J]. 2009, 43(11): 6-10. DOI：

摘要

基于数学上的多尺度逐级逼近

给出了一种简单并且有效的方法来通过宏观物理量重构格子Boltzmann方法(LBM)的单粒子分布函数.所给出的重构算子为工程中基于宏观和介观模型的多尺度计算奠定了基础.通过耦合有限体积法(FVM)和LBM对顶盖驱动流进行数值计算

考核了此重构算子.计算结果与文献结果符合很好

并且耦合区域流线光滑过渡

速度矢量精确重合.计算结果证明

文中提出的重构算子可以准确有效地应用于LBM和宏观方法的耦合计算

并且其实施简单.

Abstract

An effective and simple way to reconstruct the lattice Boltzmann method(LBM)distribution functions by macro-scale parameters has been proposed on the basis of the mathematical multiscale-approach in this paper. The reconstruction operator offers a fundamental approach to multiscale computation in engineering application. The numerical computation on lid-driven cavity flow by the coupling between the results of LBM and the finite-volume method(FVM)is performed to verify the proposed reconstruction operator. The computation results are in agreement with the data in literature

and the smoothness of the streamlines in the coupled region is reasonable and the velocity vectors have an exact overlap. In addition

the results show that the present reconstruction operator can be adopted in the coupling computation of LBM and the macro-scale method easily and reliably.

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Keywords

references

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IMAMURA T, SUZUKI K, NAKAMURA T, et al. Acceleration of steady-state lattice Boltzmann simulation on non-uniform mesh using local time step method [J]. J Comput Phys, 2005, 202: 645-663.

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