Evaluation of three lattice Boltzmann models for multiphase flows in porous media
Evaluation of three lattice Boltzmann models for multiphase flows in porous media
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多孔介质中多相流的三个格子玻尔兹曼模型的评估
DOI：
10.1016/j.camwa.2010.06.034
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发表时间：
2011-06-01
影响因子：
2.9
通讯作者：
Lu, Xi-yun
中科院分区：
文献类型：
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作者：
Huang, Haibo;Wang, Lei;Lu, Xi-yun
对自由能 (FE) 模型、Shan-Chen (S-C) 模型以及 Rothman and Keller (R-K) 模型进行了数值研究，以评估它们在模拟孔隙尺度多孔介质中二维 (2D) 不混溶两相流时的性能。通过数值试验证明有限元模型满足伽利略不变性，模拟中各部件的质量守恒是准确的。模拟了不同粘度比通道内的两相层流。与解析解相比，我们看到FE模型和R-K模型对于大粘度比的流动可以给出非常准确的结果。在精度和稳定性方面，FE模型和R-K模型比S-C模型要好得多。模拟了复杂均质介质中的顺流和逆流两相流并获得了相对渗透率。再次发现，FE模型在精度和效率方面与R-K模型一样好。有限元模型被证明是研究多孔介质中高粘度比两相流的良好工具。 (C) 2010 Elsevier Ltd. 保留所有权利。
A free energy (FE) model, the Shan-Chen (S-C) model, and the Rothman and Keller (R-K) model are studied numerically to evaluate their performance in modeling two-dimensional (2D) immiscible two-phase flow in porous media on the pore scale. The FE model is proved to satisfy the Galilean invariance through a numerical test and the mass conservation of each component in the simulations is exact. Two-phase layered flow in a channel with different viscosity ratios was simulated. Comparing with analytical solutions, we see that the FE model and the R-K model can give very accurate results for flows with large viscosity ratios. In terms of accuracy and stability, the FE model and the R-K model are much better than the S-C model. Co-current and countercurrent two-phase flows in complex homogeneous media were simulated and the relative permeabilities were obtained. Again, it is found that the FE model is as good as the R-K model in terms of accuracy and efficiency. The FE model is shown to be a good tool for the study of two-phase flows with high viscosity ratios in porous media. (C) 2010 Elsevier Ltd. All rights reserved.