Vesicle electrohydrodynamic simulations by coupling immersed boundary and immersed interface method

Wei Fan Hu*, Ming-Chih Lai, Yunchang Seol, Yuan Nan Young

*Corresponding author for this work

Research output: Contribution to journalArticle

14 Scopus citations

Abstract

In this paper, we develop a coupled immersed boundary (IB) and immersed interface method (IIM) to simulate the electrodeformation and electrohydrodynamics of a vesicle in Navier-Stokes leaky dielectric fluids under a DC electric field. The vesicle membrane is modeled as an inextensible elastic interface with an electric capacitance and an electric conductance. Within the leaky dielectric framework and the piecewise constant electric properties in each fluid, the electric stress can be treated as an interfacial force so that both the membrane electric and mechanical forces can be formulated in a unified immersed boundary method. The electric potential and transmembrane potential are solved simultaneously via an efficient immersed interface method. The fluid variables in Navier-Stokes equations are solved using a projection method on a staggered MAC grid while the electric potential is solved at the cell center. A series of numerical tests have been carefully conducted to illustrate the accuracy and applicability of the present method to simulate vesicle electrohydrodynamics. In particular, we investigate the prolate-oblate-prolate (POP) transition and the effect of electric field and shear flow on vesicle electrohydrodynamics. Our numerical results are in good agreement with those obtained in previous work using different numerical algorithms.

Original languageEnglish
Pages (from-to)66-81
Number of pages16
JournalJournal of Computational Physics
Volume317
DOIs
StatePublished - 15 Jul 2016

Keywords

  • Immersed boundary method
  • Immersed interface method
  • Leaky dielectric model
  • Navier-Stokes equations
  • Vesicle electrohydrodynamics

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