TY - JOUR
T1 - Decoupled, Energy Stable Scheme for Hydrodynamic Allen-Cahn Phase Field Moving Contact Line Model
AU - Chen , Rui
AU - Yang , Xiaofeng
AU - Zhang , Hui
JO - Journal of Computational Mathematics
VL - 5
SP - 661
EP - 681
PY - 2018
DA - 2018/06
SN - 36
DO - http://doi.org/10.4208/jcm.1703-m2016-0614
UR - https://global-sci.org/intro/article_detail/jcm/12451.html
KW - Moving contact line, Phase-field, Navier-Stokes equations, Allen-Cahn equation, Finite element, Energy stable scheme, Linear element.
AB - <p style="text-align: justify;">In this paper, we present an efficient energy stable scheme to solve a phase field model
incorporating contact line condition. Instead of the usually used Cahn-Hilliard type phase
equation, we adopt the Allen-Cahn type phase field model with the static contact line
boundary condition that coupled with incompressible Navier-Stokes equations with Navier
boundary condition. The projection method is used to deal with the Navier-Stokes equations
and an auxiliary function is introduced for the non-convex Ginzburg-Landau bulk
potential. We show that the scheme is linear, decoupled and energy stable. Moreover, we
prove that fully discrete scheme is also energy stable. An efficient finite element spatial
discretization method is implemented to verify the accuracy and efficiency of proposed
schemes. Numerical results show that the proposed scheme is very efficient and accurate.</p>