TY - JOUR
T1 - A Numerical Method for Dynamic Wetting Using Mesoscopic Contact-Line Models
AU - Qin , Jian
AU - Lu , Wei
AU - Gao , Peng
JO - Communications in Computational Physics
VL - 4
SP - 977
EP - 995
PY - 2024
DA - 2024/10
SN - 36
DO - http://doi.org/10.4208/cicp.OA-2024-0044
UR - https://global-sci.org/intro/article_detail/cicp/23483.html
KW - Moving boundary problem, moving contact line, wetting, lubrication equation.
AB - <p style="text-align: justify;">Numerical simulation of wetting or dewetting processes is challenging due
to the multiscale feature of the moving contact line. This paper presents a numerical
method to simulate three-dimensional wetting processes in the framework of lubrication equation and Navier slip condition. A mesoscopic model of the moving contact
line is implemented with a cutoff of the computational domain at a small distance
from the contact line, where boundary conditions derived from the asymptotic solution of the intermediate region are imposed. This procedure avoids the high resolution
required by the local interface near the contact line and enables the adoption of physically small slip lengths. We employ a finite element method to solve the lubrication
equation, combined with an arbitrary Lagrangian-Eulerian method to handle the moving boundaries. The method is validated by examining the spreading or sliding of a
liquid drop on the wall. The numerical results agree with available exact solutions and
approximate theories.</p>