Multiple-relaxation-time model for the correct thermohydrodynamic equations.
Multiple-relaxation-time model for the correct thermohydrodynamic equations.
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DOI：
10.1103/physreve.78.026705
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发表时间：
2008-08
期刊：
影响因子：
--
通讯作者：
L. Zheng;B. Shi;Zhaoli Guo
中科院分区：
文献类型：
--
作者：
L. Zheng;B. Shi;Zhaoli Guo
提出了一种多弛豫时间的耦合格子Boltzmann方程（LBE）模型，该模型考虑了粘性热耗散和压缩功的影响。该模型成功地克服了大多数LBE模型中存在的能量方程中的固定普朗特数和粘性耗散问题。通过模拟二维库埃特流、热Poietille流和方腔内自然对流对模型进行了验证。数值结果与解析解和其它数值结果吻合较好。
A coupling lattice Boltzmann equation (LBE) model with multiple relaxation times is proposed for thermal flows with viscous heat dissipation and compression work. In this model the fixed Prandtl number and the viscous dissipation problems in the energy equation, which exist in most of the LBE models, are successfully overcome. The model is validated by simulating the two-dimensional Couette flow, thermal Poiseuille flow, and the natural convection flow in a square cavity. It is found that the numerical results agree well with the analytical solutions and/or other numerical results.