Comparative study of two lattice Boltzmann multiphase models for simulating wetting phenomena: implementing static contact angles based on the geometric formulation

doi:10.1007/s10483-018-2320-7

Applied Mathematics and Mechanics (English Edition) ›› 2018, Vol. 39 ›› Issue (4): 513-528.doi: https://doi.org/10.1007/s10483-018-2320-7

Comparative study of two lattice Boltzmann multiphase models for simulating wetting phenomena: implementing static contact angles based on the geometric formulation

Feng YE^1,2, Qinfeng DI^1,2, Wenchang WANG^1,2, Feng CHEN^1,2, Huijuan CHEN^1,2, Shuai HUA^1,2

1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China;
2. Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai University, Shanghai 200072, China

收稿日期:2017-04-13 修回日期:2017-09-18 出版日期:2018-04-01 发布日期:2018-04-01
通讯作者: Wenchang WANG, E-mail:wangwenchang1982@163.com E-mail:wangwenchang1982@163.com
基金资助:
Project supported by the National Natural Science Foundation of China (Nos. 50874071 and 51704191), the Shanghai Leading Academic Discipline Project (No. S30106), the Key Program of Science and Technology Commission of Shanghai Municipality (No. 12160500200), and the PetroChina Innovation Foundation (No. 2017D-5007-0209)

Comparative study of two lattice Boltzmann multiphase models for simulating wetting phenomena: implementing static contact angles based on the geometric formulation

Feng YE^1,2, Qinfeng DI^1,2, Wenchang WANG^1,2, Feng CHEN^1,2, Huijuan CHEN^1,2, Shuai HUA^1,2

1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China;
2. Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai University, Shanghai 200072, China

Received:2017-04-13 Revised:2017-09-18 Online:2018-04-01 Published:2018-04-01
Contact: Wenchang WANG E-mail:wangwenchang1982@163.com
Supported by:
Project supported by the National Natural Science Foundation of China (Nos. 50874071 and 51704191), the Shanghai Leading Academic Discipline Project (No. S30106), the Key Program of Science and Technology Commission of Shanghai Municipality (No. 12160500200), and the PetroChina Innovation Foundation (No. 2017D-5007-0209)

摘要/Abstract

摘要：

Wetting phenomena are widespread in nature and industrial applications. In general, systems concerning wetting phenomena are typical multicomponent/multiphase complex fluid systems. Simulating the behavior of such systems is important to both scientific research and practical applications. It is challenging due to the complexity of the phenomena and difficulties in choosing an appropriate numerical method. To provide some detailed guidelines for selecting a suitable multiphase lattice Boltzmann model, two kinds of lattice Boltzmann multiphase models, the modified S-C model and the H-C-Z model, are used in this paper to investigate the static contact angle on solid surfaces with different wettability combined with the geometric formulation (Ding, H. and Spelt, P. D. M. Wetting condition in diffuse interface simulations of contact line motion. Physical Review E, 75(4), 046708 (2007)). The specific characteristics and computational performance of these two lattice Boltzmann method (LBM) multiphase models are analyzed including relationship between surface tension and the control parameters, the achievable range of the static contact angle, the maximum magnitude of the spurious currents (MMSC), and most importantly, the convergence rate of the two models on simulating the static contact angle. The results show that a wide range of static contact angles from wetting to non-wetting can be realized for both models. MMSC mainly depends on the surface tension. With the numerical parameters used in this work, the maximum magnitudes of the spurious currents of the two models are on the same order of magnitude. MMSC of the S-C model is universally larger than that of the H-C-Z model. The convergence rate of the S-C model is much faster than that of the H-C-Z model. The major foci in this work are the frequently-omitted important details in simulating wetting phenomena. Thus, the major findings in this work can provide suggestions for simulating wetting phenomena with LBM multiphase models along with the geometric formulation.

关键词: impact, reacting force function, dynamic response, numerical method, wetting phenomenon, static contact angle, lattice Boltzmann method (LBM)

Abstract:

Key words: impact, reacting force function, dynamic response, numerical method, wetting phenomenon, static contact angle, lattice Boltzmann method (LBM)

中图分类号:

76T99

Feng YE, Qinfeng DI, Wenchang WANG, Feng CHEN, Huijuan CHEN, Shuai HUA. Comparative study of two lattice Boltzmann multiphase models for simulating wetting phenomena: implementing static contact angles based on the geometric formulation[J]. Applied Mathematics and Mechanics (English Edition), 2018, 39(4): 513-528.

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Comparative study of two lattice Boltzmann multiphase models for simulating wetting phenomena: implementing static contact angles based on the geometric formulation

Comparative study of two lattice Boltzmann multiphase models for simulating wetting phenomena: implementing static contact angles based on the geometric formulation

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