scholarly journals Finite-element lattice Boltzmann simulations of contact line dynamics

2018 ◽  
Vol 97 (1) ◽  
Author(s):  
Rastin Matin ◽  
Marek Krzysztof Misztal ◽  
Anier Hernández-García ◽  
Joachim Mathiesen
Keyword(s):  
Finite Element ◽  
Contact Line ◽  
Lattice Boltzmann ◽  
Lattice Boltzmann Simulations ◽  
Contact Line Dynamics

Contact line motion without slip in lattice Boltzmann simulations

2011 ◽  
Vol 66 (14) ◽  
pp. 3452-3458 ◽  
Author(s):  
M.R. Kamali ◽  
J.J.J. Gillissen ◽  
S. Sundaresan ◽  
H.E.A. Van den Akker
Keyword(s):  
Contact Line ◽  
Lattice Boltzmann ◽  
Lattice Boltzmann Simulations ◽  
Contact Line Motion

Contact Line Dynamics in Liquid-Vapor Flows Using Lattice Boltzmann Method

2006 ◽  
Author(s):  
Shi-Ming Li ◽  
Danesh K. Tafti
Keyword(s):  
Boundary Condition ◽  
Lattice Boltzmann Method ◽  
Contact Line ◽  
Lattice Boltzmann ◽  
Solid Wall ◽  
Hydrodynamic Theory ◽  
Moving Contact Line ◽  
Moving Contact ◽  
Boltzmann Method ◽  
Contact Line Dynamics

A mean-field free-energy lattice Boltzmann method (LBM) is applied to simulate moving contact line dynamics. It is found that the common bounceback boundary condition leads to an unphysical velocity at the solid wall in the presence of surface forces. The magnitude of the unphysical velocity is shown proportional to the local force term. The velocity-pressure boundary condition is generalized to solve the problem of the unphysical velocity. The simulation results are compared with three different theories for moving contact lines, including a hydrodynamic theory, a molecular kinetic theory, and a linear cosine law of moving contact angle versus capillary number. It is shown that the current LBM can be used to replace the three theories in handling moving contact line problems.

A HYBRID PHASE-FIELD BASED LATTICE BOLTZMANN METHOD FOR CONTACT LINE DYNAMICS

2012 ◽  
Vol 19 ◽  
pp. 50-61
Author(s):  
JIANG YAN SHAO ◽  
CHANG SHU ◽  
YONG TIAN CHEW
Keyword(s):  
Lattice Boltzmann Method ◽  
Contact Line ◽  
Phase Field ◽  
Lattice Boltzmann ◽  
Solution Process ◽  
Droplet Spreading ◽  
Interface Evolution ◽  
Cahn Hilliard Equation ◽  
Boltzmann Method ◽  
Contact Line Dynamics

A hybrid phase-field based lattice Boltzmann method (LBM) is proposed in this paper to simulate the contact line dynamics. The flow field is obtained through the lattice Boltzmann equation (LBE). Concurrently, the interface capturing is accomplished by directly solving Cahn-Hilliard equation, which is the governing equation of interface evolution. A symmetric spatial discretization scheme is adopted to enhance the stability. Compared with the conventional algorithms which solve two sets of LBEs, the present method has several advantages such as reduction of the number of variables in the solution process, decoupling the mobility with relaxation time and enabling a more direct manner to implement wetting boundary conditions. The proposed algorithm is first validated through recovering the analytical profile of a surface layer. It is then applied to simulate droplet spreading on surfaces with different wettability.

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