Dynamics of droplets moving on a solid surface: Lattice Boltzmann simulations

The three-dimensional dynamics of droplets on inclined and vertical walls in a gravity field is simulated. The dependence of a contact angle on a velocity of contact line is obtained for slow regime and smooth surface. The simulations of a rupture of the liquid films on the nonwettable solid substrate due to the thermocapillary effect (Marangoni effect) are also carried out. The lattice Boltzmann method is successfully implemented for computer simulation of these three-dimensional problems