Immersed Interface Method for Drop Electrohydrodynamic

A numerical scheme based on the immersed interface method (IIM) is developed to simulate the dynamics of an axisymmetric viscous drop under an electric field. In this work, the IIM is used to solve both the fluid velocity field and the electric potential field. Detailed numerical studies on the numerical scheme shows second-order convergence. Moreover, the numerical scheme is further validated by the good agreement with published analytical models, and results from the Boundary Integral method. The IIM code is used to investigate inertia effects and/or time-varying electric field on drop electro-deformation. Results from the simulations illustrate how the inertia effects and time dependence of the electric field affect the electro-deformation of a viscous leaky dielectric drop.