  A three-dimensional numerical model of vesicle electrohydrodynamics in the
presence of DC electric fields is presented. The vesicle membrane is modeled as
a thin capacitive interface through the use of a semi-implicit level set Jet
scheme. The enclosed volume and surface area are conserved both locally and
globally by a new Navier-Stokes projection method. The electric field
calculations explicitly take into account the capacitive interface by an
implicit Immersed Interface Method formulation, which calculates the electric
potential field and the trans-membrane potential simultaneously. The results
match well with previously published experimental, analytic and two-dimensional
computational works.
