TY - JOUR
T1 - Numerical Approximations for Allen-Cahn Type Phase Field Model of Two-Phase Incompressible Fluids with Moving Contact Lines
JO - Communications in Computational Physics
VL - 3
SP - 867
EP - 889
PY - 2018
DA - 2018/04
SN - 21
DO - http://doi.org/10.4208/cicp.OA-2016-0008
UR - https://global-sci.org/intro/article_detail/cicp/11263.html
KW - 
AB - <p style="text-align: justify;">In this paper, we present some efficient numerical schemes to solve a two-phase
hydrodynamics coupled phase field model with moving contact line boundary
conditions. The model is a nonlinear coupling system, which consists the Navier-Stokes
equations with the general Navier Boundary conditions or degenerated Navier
Boundary conditions, and the Allen-Cahn type phase field equations with dynamical
contact line boundary condition or static contact line boundary condition. The proposed
schemes are linear and unconditionally energy stable, where the energy stabilities
are proved rigorously. Various numerical tests are performed to show the accuracy
and efficiency thereafter.</p>