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Simulating wetting phenomenon with large density ratios based on weighted-orthogonal multiple-relaxation-time pseudopotential lattice Boltzmann model
Computers & Fluids ( IF 2.8 ) Pub Date : 2022-06-24 , DOI: 10.1016/j.compfluid.2022.105563
Jun Tang , Shengyuan Zhang , Huiying Wu

The wetting phenomenon is widespread in nature and industry, but simulating it with large density ratios remains challenging. In this study, a modified two-dimensional weighted-orthogonal multiple-relaxation-time pseudopotential lattice Boltzmann (WMRT-PLB) model is extended to simulate the wetting phenomenon at large density ratios. A simple formula describing the contact angle and interaction force is derived, and an alternative geometrical formulation scheme based on the interaction force is proposed to model the contact angle. First, theoretical analysis shows that the continuum form of the alternative geometrical formulation scheme is mathematically equivalent to that of the geometrical formulation scheme based on the pseudopotential. In contrast, the discrete forms of the two schemes are different in implementation. Then, four classical benchmark cases (static droplet on a wall, static droplet under gravity, droplet spreading on a wall and capillary intrusion) under a large density ratio (ρl/ρg=857.7) are performed to verify and evaluate the performance of the WMRT-PLB model coupled with the alternative geometrical formulation scheme. The numerical results show that in the framework of the WMRT-PLB model, compared with the two conventional geometrical formulation schemes, the alternative geometrical formulation scheme is superior in numerical stability, especially under low surface tension, and achieves comparable numerical accuracy within a large range of surface tensions and contact angles.



中文翻译:

基于加权正交多重弛豫时间赝势格子Boltzmann模型模拟大密度比润湿现象

润湿现象在自然界和工业中很普遍,但用大密度比模拟它仍然具有挑战性。在这项研究中,改进的二维加权正交多重弛豫时间赝势晶格玻尔兹曼 (WMRT-PLB) 模型被扩展以模拟大密度比下的润湿现象。推导了一个描述接触角和相互作用力的简单公式,并提出了一种基于相互作用力的替代几何公式来模拟接触角。首先,理论分析表明,替代几何公式的连续体形式在数学上与基于赝势的几何公式​​的连续体形式是等价的。相比之下,两种方案的离散形式在实现上是不同的。然后,ρl/ρG=857.7) 用于验证和评估 WMRT-PLB 模型与替代几何公式方案相结合的性能。数值结果表明,在WMRT-PLB模型的框架下,与两种常规几何公式方案相比,替代几何公式方案在数值稳定性方面具有优越性,尤其是在低表面张力下,并且在大范围内达到了相当的数值精度。表面张力和接触角。

更新日期:2022-06-24
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