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A critical evaluation of force term in lattice Boltzmann method, natural convection problem

机译：自然对流问题的格子玻尔兹曼方法中力项的临界评估

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摘要

Few methods have been introduced and used in simulation fluid flows using lattice Boltzmann method (LBM) with external forces, such as buoyancy, surface tension, magnetic, etc. In some problems, the external force is constant, for instance gravitational force with constant density flows, while for other problems the force may vary spatially and/or temporally with non-zero gradients, such as gravitational force with variable density flows. For problems with the variable force term, adding force term to LBM may not be trivial. The paper evaluates mainly three different schemes of adding force term to LBM with BGK method. In this work, natural convection in a closed and an open ended cavities were used as a test platform. The results for the differentially heated cavity are introduced first. For the open cavity, the vertical left hand wall of the cavity is heated and opposing side is opened to the ambient, with other connecting boundaries are assumed to be adiabatic. Prior to the solution, the boundary conditions at the opening are unknown. The results of predictions using LBM are compared with results predicted by using finite volume method (FVM). The results are presented for Ra = 10~6 and for Pr = 0.71. It is found that most methods suggested in the literature produces similar results, despite that some authors claim that their scheme is more accurate than the other schemes.
机译：很少有方法引入晶格玻尔兹曼法（LBM）并在浮力，表面张力，磁力等外力作用下模拟流体流动。在某些问题中，外力是恒定的，例如密度恒定的重力对于其他问题，力可能会在空间和/或时间上以非零梯度变化，例如具有可变密度流的重力。对于可变力项的问题，将力项添加到LBM可能并不容易。本文主要评估了三种不同的BGK方法对LBM施加力项的方案。在这项工作中，封闭腔和开放腔中的自然对流被用作测试平台。首先介绍差温加热腔的结果。对于开放式腔体，腔体的垂直左手壁被加热，相对侧向周围开放，假定其他连接边界是绝热的。在求解之前，开口处的边界条件是未知的。将使用LBM的预测结果与使用有限体积法（FVM）预测的结果进行比较。给出了Ra = 10〜6和Pr = 0.71的结果。发现，尽管一些作者声称他们的方案比其他方案更准确，但文献中建议的大多数方法都能产生相似的结果。

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  • 作者

    A.A. Mohamad; A. Kuzmin;

  • 作者单位

    Department of Mechanical and Manufacturing Engineering, Schulich School of Engineering, University of Calgary, 2500 University Drive NW, Calgary, Alta., Canada T2N 1N4;

    Department of Mechanical and Manufacturing Engineering, Schulich School of Engineering, University of Calgary, 2500 University Drive NW, Calgary, Alta., Canada T2N 1N4;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    lattice boltzmann method; natural convection; force term implementation;

    机译：点阵博兹曼法自然对流;强制执行;

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