%0 Journal Article %T Electrohydrodynamics of Three-Dimensional Vesicles: A Numerical Approach %A Ebrahim M. Kolahdouz %A David Salac %J Physics %D 2014 %I arXiv %R 10.1137/140988966 %X 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. %U http://arxiv.org/abs/1409.6381v1