scholarly journals On the formulations of interfacial force in the phase‐field‐based lattice Boltzmann method

2021 ◽  
Author(s):  
Chunhua Zhang ◽  
Zhaoli Guo ◽  
Hong Liang
Keyword(s):  
Lattice Boltzmann Method ◽  
Phase Field ◽  
Lattice Boltzmann ◽  
Boltzmann Method ◽  
Interfacial Force

A phase-field-based lattice Boltzmann method for moving contact line problems on curved stationary boundaries in two dimensions

2019 ◽  
Vol 30 (06) ◽  
pp. 1950044
Author(s):  
Weifeng Zhao
Keyword(s):  
Boundary Conditions ◽  
Lattice Boltzmann Method ◽  
Contact Line ◽  
Phase Field ◽  
Lattice Boltzmann ◽  
Two Dimensions ◽  
Curved Boundaries ◽  
Moving Contact Line ◽  
Moving Contact ◽  
Boltzmann Method

In this work, we propose a phase-field-based lattice Boltzmann method to simulate moving contact line (MCL) problems on curved boundaries. The key point of this method is to implement the boundary conditions on curved solid boundaries. Specifically, we use our recently proposed single-node scheme for the no-slip boundary condition and a new scheme is constructed to deal with the wetting boundary conditions (WBCs). In particular, three kinds of WBCs are implemented: two wetting conditions derived from the wall free energy and a characteristic MCL model based on geometry considerations. The method is validated with several MCL problems and numerical results show that the proposed method has utility for all the three WBCs on both straight and curved boundaries.

Simulation of interfacial waves of two-layer flows through phase field lattice Boltzmann method

2018 ◽  
Vol 32 (12n13) ◽  
pp. 1840056
Author(s):  
Jiang-Yan Shao ◽  
Chang Shu
Keyword(s):  
Lattice Boltzmann Method ◽  
Liquid Layer ◽  
Phase Field ◽  
Lattice Boltzmann ◽  
Viscosity Ratio ◽  
Early Stage ◽  
Plane Channel ◽  
Wave Growth ◽  
Layer Height ◽  
Boltzmann Method

Simulation of the interfacial wave growth in a plane channel is performed by a phase field lattice Boltzmann method (LBM) in this work. The numerical results are validated against linear theory analysis. The influence of viscosity ratio and liquid layer height on the wave initiation is studied Results show that the wave grows slower with increasing viscosity ratio. On the other hand, the wave growth rate has more complex relationships with the liquid layer height. It is also found that there is a critical liquid layer height that prompts the strongest wave growth. Besides the linear characteristics during the early stage, nonlinear interfacial changes such as forming of ligament and droplets are also captured in this work.

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