基于MRT-LBM的方腔流动局部加密算法

doi:10.12068/j.issn.1005-3026.2018.04.017

东北大学学报:自然科学版 ›› 2018, Vol. 39 ›› Issue (4): 538-542.DOI: 10.12068/j.issn.1005-3026.2018.04.017

基于MRT-LBM的方腔流动局部加密算法

陈颂英，汪超，曲延鹏，王润堃

(山东大学高效洁净机械制造教育部重点实验室，山东济南250061)

收稿日期:2017-05-08 修回日期:2017-05-08 出版日期:2018-04-15 发布日期:2018-04-10
通讯作者: 陈颂英
作者简介:陈颂英(1966-)，男，山东莱芜人，山东大学教授，博士生导师.
基金资助:
国家自然科学基金资助项目(51171041).山东省科技发展计划项目(2016GGX104018).

Local Grid Refinement Implementation of Lid Driven Cavity Flow Based on MRT-LBM

CHEN Song-ying， WANG Chao， QU Yan-peng， WANG Run-kun

Key Laboratory of High-Efficiency and Clean Mechanical Manufacture， Shandong University， Jinan 250061， China.

Received:2017-05-08 Revised:2017-05-08 Online:2018-04-15 Published:2018-04-10
Contact: CHEN Song-ying
About author:-
Supported by:
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摘要/Abstract

摘要： 使用多参数弛豫模型的格子玻尔兹曼方法及D2Q9模型，对方腔流顶盖下方左右奇异角落处应用局部网格加密模拟方腔流动特性.在粗细网格界面上，建立了分布函数的转换公式，采用3次样条插值计算加密界面上插值点的参量，根据Chapman-Enskog分析，给出了应力计算公式.数值计算结果表明:对雷诺数1000的方腔流动，沿腔中心线的速度分布与经典文献结果对比效果良好，压力、涡量轮廓图的噪声明显降低，应力振荡明显减少，证实了所提局部加密方法的有效性.

关键词: 格子Boltzmann, 多参数弛豫模型, 局部网格加密, 方腔, D2Q9模型

Abstract: Employing the D2Q9 model， grids at the double singular corners were locally refined to investigate the flow peculiarity of the lid driven cavity based on the multi-relaxation time of lattice Boltzmann method (MRT-LBM). The transferring formulae of the distribution functions were established between the coarse and fine grids. Parameters were interpolated with cubic spline implementation on the refined layers， and the stress expressions were given on the basis of the Chapman-Enskog. For the cavity flow with the Reynolds number 1000， the simulation results showed that the velocity distribution along the cavity mid plane agrees with that of the classical benchmark very well， the noises on the pressure and vortex contours are significantly reduced， and the stress fluctuation obviously decreases. The computational results showed validation of the present method.

Key words: lattice Boltzmann, multi-relaxation time(MRT), local grid refinement, cavity;D2Q9 model

中图分类号:

陈颂英，汪超，曲延鹏，王润堃. 基于MRT-LBM的方腔流动局部加密算法[J]. 东北大学学报:自然科学版, 2018, 39(4): 538-542.

CHEN Song-ying， WANG Chao， QU Yan-peng， WANG Run-kun. Local Grid Refinement Implementation of Lid Driven Cavity Flow Based on MRT-LBM[J]. Journal of Northeastern University Natural Science, 2018, 39(4): 538-542.

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基于MRT-LBM的方腔流动局部加密算法

Local Grid Refinement Implementation of Lid Driven Cavity Flow Based on MRT-LBM

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