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.
- Publication:
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SIAM Journal on Scientific Computing
- Pub Date:
- January 2015
- DOI:
- 10.1137/140988966
- arXiv:
- arXiv:1409.6381
- Bibcode:
- 2015SJSC...37B.473K
- Keywords:
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- Condensed Matter - Soft Condensed Matter;
- Physics - Fluid Dynamics
- E-Print:
- This work was supported by NSF Award #1253739