About numerical algorithm for simulation of two-dimensional two-phase flows with wetting effect based on quasi-hydrodynamic regularization

The paper is devoted to the development of numerical algorithm for simulation of two-dimensional two-phase two-component viscous flows with surface effects and non-trivial contact angle at the boundary of solid wall in domains with voxel geometry. Quasi-hydrodynamic regularization of Navier–Stokes–Cahn–Hilliard equations is used. Simulation results for drop spreading over solid surface are presented. Issues of interpretation of are discussed. It is demonstrated that two ways of voxel geometry interpretation—as exact and as an approximation of some (unknown) “smooth” geometry, can lead to essentially different simulation results.