Electrohydrodynamics of Three-Dimensional Vesicles: A Numerical Approach

Abstract

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.

arXiv commentThis work was supported by NSF Award #1253739

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Cited by in corpus (12)

• A sharp interface Lagrangian-Eulerian method for rigid-body fluid-structure interaction
• Dynamics of Three-Dimensional Vesicles in DC Electric fields
• Large deformation electrohydrodynamics of an elastic capsule in DC electric field
• Large deformation electrohydrodynamics of a Skalak elastic capsule in AC electric field
• The effect of AC electric field on the dynamics of a vesicle under shear flow in the small deformation regime
• Level Set Jet Schemes for Stiff Advection Equations: The SemiJet Method
• Swinging and tumbling of multicomponent vesicles in flow
• Effect of pulse width on the dynamics of a deflated vesicle in unipolar and bipolar pulsed electric fields
• A General, Mass-Preserving Navier-Stokes Projection Method
• Vesicles in magnetic fields
• The Curvature-Augmented Closest Point Method with Vesicle Inextensibility Application
• Modeling Droplets with Slippery Interfaces