Lattice Boltzmann equation for axisymmetric thermal flows

Lattice Boltzmann equation for axisymmetric thermal flows
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轴对称热流的格子玻尔兹曼方程

DOI:
10.1016/j.compfluid.2010.01.006
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发表时间:
2010-06
期刊:
影响因子:
2.8
通讯作者:
Guo, Zhaoli
Guo, Zhaoli
中科院分区:
工程技术3区
文献类型:
--
作者:
Zheng, Chuguang;Shi, Baochang;Zheng, Lin;Guo, Zhaoli

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本文提出了轴对称热流的简单晶格玻尔兹曼方程(LBE)模型。流场采用准二维九速(D2Q9) LBE求解,温度场采用四速(D2Q4) LBE求解。通过管道内的热流和垂直圆柱体中由热浮力驱动的非平凡热浮力流动,包括瑞利-巴姆纳德对流、自然对流和旋流换热,对模型进行了验证。结果表明,数值结果与解析解或其他数值结果吻合较好。
A simple lattice Boltzmann equation (LBE) model for axisymmetric thermal flow is proposed in this paper. The flow field is solved by a quasi-two-dimensional nine-speed (D2Q9) LBE, while the temperature field is solved by another four-speed (D2Q4) LBE. The model is validated by a thermal flow in a pipe and some nontrivial thermal buoyancy-driven flows in vertical cylinders, including Rayleigh–Bénard convection, natural convection, and heat transfer of swirling flows. It is found that the numerical results agree excellently with analytical solution or other numerical results.
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