Speaker：Zhen Zhang（South University of Science Technology of China）

Time：2021-11-12 10:30

Location：Conference Room 686 at the 6th floor of Shuli Building at Haiyun Campus

Abstract:

We  propose an unconditionally energy stable and bound-preserving scheme  for the phase-field model of moving contact line with soluble  surfactants (PF-MCL-SS). This model consists of two Cahn-Hilliard type  equations governing the evolution of interface and surfactant  concentration with the dynamical boundary condition for moving contact  lines. Moreover, the total free energy contains two Flory-Huggins energy  potential terms with logarithmic singularity. The proposed schemes are  decoupled and have the following four properties: unique solvability,  conservation of mass, bound-preserving and energy stability.  We  rigorously prove that the first-order scheme has all the desired  properties, and the second-order scheme satisfies the first three  properties. Numerical examples are presented to show the desired  accuracy and all properties for both schemes. We also present numerical  examples for the influence of surfactants on the contact line dynamics.