Finite-difference-based multiple-relaxation-times lattice Boltzmann model for binary mixtures.
Finite-difference-based multiple-relaxation-times lattice Boltzmann model for binary mixtures.
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DOI：
10.1103/physreve.81.016706
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发表时间：
2010-01
期刊：
影响因子：
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通讯作者：
L. Zheng;Zhaoli Guo;B. Shi;C. Zheng
中科院分区：
文献类型：
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作者：
L. Zheng;Zhaoli Guo;B. Shi;C. Zheng
本文提出了一种基于有限差分的多重松弛时间格子Boltzmann方程(LBE)模型，其中单个物种的分布函数在同一规则格子上演化而不需要任何内插。此外，MRT的使用使模型更加灵活，因此它可以应用于具有不同粘度和可调节施密特数的混合物。通过数值试验对模型进行了验证，数值结果与解析解或其他数值结果吻合较好，并观察到了LBE模型良好的数值稳定性。
In this paper, we propose a finite-difference-based lattice Boltzmann equation (LBE) model with multiple-relaxation times (MRT), in which the distribution functions of individual species evolve on a same regular lattice without any interpolations. Furthermore, the use of the MRT enables the model more flexible so that it can be applied to mixtures of species with different viscosities and adjustable Schmidt number. Some numerical tests are conducted to validate the model, the numerical results are found to agree well with analytical solutions/or other numerical results, and good numerical stability of the proposed LBE model is also observed.