Numerical simulation of two-dimensional two-phase fluid flows accounting for wettability with quasi-hydrodynamic equations

The present paper is devoted to further development of numerical algorithm for simulation of two-dimensional two-phase isothermal viscous flows with surface effects accounting for wettability on solid boundaries in voxel domains. Quasi-hydrodynamic regularization of Navier–Stokes–Cahn–Hilliard equations is used. Voxel boundary is interpreted as approximation of some (unknown) piecewise-smooth surface. Simulation results of stationary droplet touching two plane walls with different wetting angles are presented. Also two-phase flow simulations in pore doublet geometry model are performed.