Electrohydrodynamics (EHD) is a branch of science which deals with the coupling of hydrodynamics and electrostatics. Knowledge of this phenomenon is useful in the study of aerosols, in the enhancement of heat or mass transfer between phases, coalescence, electrowetting and many other industrial applications. In this study, the suspended drop system is analyzed numerically in terms of its dynamic behavior. Two different electric models are applied in order to take into account the effects of the electric ?eld, electric charges and electrical properties of liquids. Droplets without net charges but ?nite electrical conductivity are simulated using a leaky dielectric model. Perfect dielectric model is used for the drops of electrically isolating ?uid. In order to simulate the dynamic of a 2D axisymmetric droplet in an electric field, in this study the level set method along with the ghost fluid method are used. In recent years, some sharp methods have been proposed which attempted to treat physical properties at the interface in a sharp way. The ghost ?uid method (GFM) was proposed for two-phase compressible inviscid ?ows which can maintain the discontinuous properties at the interface without any arti?cial smoothing. It has been shown that the sharp pressure jump conditions were well preserved. The incompressible Navier-stokes equation has been employed for modeling the internal and external fluid flow of the droplet. In addition, to calculate the electric potential in the entire domain, the Poisson equation with discontinuous coefficients has been solved using the ghost fluid method. The electrically induced forces between two fluids are incorporated in the interfacial stress condition through a sharp manner. The results show the capability of the method in modeling the droplet deformation. In addition, the results obtained from the leaky dielectric model and perfect dielectric model are validated systematically against the results of theoretical analysis, the available experimental data, and the simulations by other researchers. The results obtained from the drop deformation simulation under a uniform electric field show that the present numerical method is reasonably accurate and promising. The intrinsic potency of this method in dealing with topological changes enables us to study problems involving break up or coalescence processes such as film boiling or emulsion stability . Keywords: Electrohydrodynamics, Electrostatics, Leaky dielectric, Level set method, Ghost fluid method.
