The level-set method applied to droplet dynamics in the presence of an electric field

The present work will show the combination of the level-set method and the ghost-fluid method employed to simulate two-dimensional droplet dynamics in the presence of an electric field. The incompressible Navier–Stokes equation is used to model the fluid flow both inside and outside the droplet. Poisson equation with discontinuous coefficients for the electric potential is calculated using the ghost-fluid method. Then the electrically induced surface forces are incorporated into the hydrodynamic interfacial relations, which are handled in a sharp manner. The utility of the method is demonstrated in the calculation of droplet breakup and coalescence due to the electrically induced forces.