“…The modeling and simulation of moving contact lines (MCLs), where the interface of two or more immersible fluids intersects with a solid wall [1,2], have attracted much attention in recent years. Applications of MCLs in industries and medical fields (for example, printing [3], spray cooling of surfaces [4], blood clot [5], microfluidics [6], surfactant [7,8]) have motivated scientific interests and mathematical challenges on associated issues such as the stress singularity and contact angle hysteresis. In order to model the dynamics around the contact lines, various types of models and approximations have been developed, such as direct molecular dynamics simulations [9,10,11], phase-filed models [12,13,14,15,16,17], microscopic-macroscopic hybrid model [18,19], front tracking model [20,21,22,8] and Lattice Boltzmann model [23].…”