Color-gradient lattice Boltzmann modeling of wetting boundary condition on curved solid boundaries

Abstract

We introduce a wetting boundary condition for curved solid boundaries within a diffuse interface framework for lattice Boltzmann method. The boundary condition relies on updating the order parameter (color/phase-field) values on ghost nodes inside the solid phase. The ghost node color modification rule, in turn, extends the equilibrium color profile into the solid phase. Numerical simulations performed on an NVIDIA A100 GPU demonstrate that the wetting scheme retains the model's ability to handle large density and viscosity contrasts while producing relatively small spurious currents. The present scheme agrees well with analytical solutions/other numerical works for both static and dynamic contact lines on curved solid boundaries.