A pressure-evolution-based multi-relaxation-time high-density-ratio two-phase lattice-Boltzmann model
A pressure-evolution-based multi-relaxation-time high-density-ratio two-phase lattice-Boltzmann model
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DOI：
10.1016/j.compfluid.2006.12.002
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发表时间：
2007-07
影响因子：
2.8
通讯作者：
S. Mukherjee;J. Abraham
中科院分区：
文献类型：
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作者：
S. Mukherjee;J. Abraham
将多相格子玻尔兹曼（LB）模型的应用扩展到现实流体流动模拟的两个主要挑战是它们在高液气密度比和低粘度下的数值不稳定性。在本文中，一个模型，最近在文献中提出的，用于模拟高密度比扩展到较低的粘度，采用多松弛时间的颗粒碰撞。在应用多重弛豫时间（MRT）模型时，碰撞项被显式处理，并采用了先前作者建议的三步求解程序。该模型是通过验证的拉普拉斯-杨关系的静态无限长的液体圆柱体，比较一个最初的椭圆形横截面的液体圆柱体的振荡频率与分析值和比较的行为的二维（2D）的平面液滴冲击在湿壁与以前的结果进行评估。结果表明，与现有的数据令人满意的协议，并在数值稳定性的显着增益。
Two of the major challenges in extending the application of multiphase lattice-Boltzmann (LB) models to realistic fluid flow simulations are their numerical instability at high liquid-to-gas density ratios, and at low viscosities. In this paper, a model, recently presented in the literature, for simulating high-density ratios is extended to lower viscosities by employing multiple-relaxation-times for particle collision. In applying the multiple-relaxation-time (MRT) model, the collision term is treated explicitly and the three-step solution procedure suggested by the prior author is employed. The model is evaluated by verifying the Laplace–Young relation for a static infinitely long liquid cylinder, comparing frequency of oscillations of an initially elliptic cross-section liquid cylinder with analytic values and comparing the behavior of a two-dimensional (2D) planar drop impinging on a wet wall with prior results. The results show satisfactory agreement with available data, and a significant gain in numerical stability.