Three-dimensional multi-relaxation time (MRT) lattice-Boltzmann models for multiphase flow
Three-dimensional multi-relaxation time (MRT) lattice-Boltzmann models for multiphase flow
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DOI：
10.1016/j.jcp.2006.10.023
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发表时间：
2006-11
期刊：
影响因子：
--
通讯作者：
K. Premnath;J. Abraham
中科院分区：
文献类型：
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作者：
K. Premnath;J. Abraham
本文提出了一种三维多相流多重弛豫时间格子玻尔兹曼模型。与Bhatnagar-Gross-Krook（BGK）模型（一种广泛采用的动力学模型）相比，MRT模型中由于粒子群碰撞而引起的弛豫过程的速率可以独立调整。因此，MRT模型提供了一个显着的改善数值稳定性的LB方法模拟较低粘度的流体。我们通过Chapman-Enskog多尺度分析表明，三维MRT LB模型的连续极限行为对应于多相流的宏观动力学方程。我们扩展了3D MRT LB模型，用于表示具有降低的压缩性效应的多相流。通过验证静态液滴的Laplace-Young关系和液滴的振荡频率来评估多相模型。结果表明，与现有的数据和数值稳定性显着增益令人满意的协议。
In this paper, three-dimensional (3D) multi-relaxation time (MRT) lattice-Boltzmann (LB) models for multiphase flow are presented. In contrast to the Bhatnagar–Gross–Krook (BGK) model, a widely employed kinetic model, in MRT models the rates of relaxation processes owing to collisions of particle populations may be independently adjusted. As a result, the MRT models offer a significant improvement in numerical stability of the LB method for simulating fluids with lower viscosities. We show through the Chapman–Enskog multiscale analysis that the continuum limit behavior of 3D MRT LB models corresponds to that of the macroscopic dynamical equations for multiphase flow. We extend the 3D MRT LB models developed to represent multiphase flow with reduced compressibility effects. The multiphase models are evaluated by verifying the Laplace–Young relation for static drops and the frequency of oscillations of drops. The results show satisfactory agreement with available data and significant gains in numerical stability.