Simulation of flows with phase transitions and heat transfer using mesoscopic methods

We use mesoscopic lattice Boltzmann and phase-field methods to simulate the growth of crystals from supercooled melt in the presence of melt convection and the behavior of a pinned droplet under the action of the electric field. In the first problem, the flow influences significantly the shape and the stability of growing patterns, leading to the enhanced development of fingers in the direction opposite to the flow. In the second problem, after the application of the electric field, the droplet begins to elongate in the field direction and the oscillations are produced. These oscillations decay in time due to a viscosity of a fluid. After several oscillations, the droplet acquires its equilibrium shape. The contact angle is essentially reduced compared to the case without an electric field.