"Electrohydrodynamic simulations: droplet and vesicle"

Dear All,

Mathematical Soft Matter Unit (Fried Unit) would like to invite you to a Seminar by Professor Ming-Chih Lai from the National Chiao Tung University (Taiwan).

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Date: Tuesday, August 25th, 2015
Time: 14:00-15:00 → 15:00 - 16:00
Venue: C015, LevelC, Lab 1
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Speaker:
Professor Ming-Chih Lai,
Center of Mathematical Modeling and Scientific Computing, Department of Applied Mathematics,
National Chiao Tung University (Taiwan)

Title: 
 Electrohydrodynamic simulations: droplet and vesicle

Abstract:
In this talk, we introduce a hybrid immersed boundary (IB) and immersed interface method (IIM) to simulate a droplet and a vesicle imposed to uniform DC electric field in an incompressible Navier-Stokes fluid. 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  electric and mechanical forces can be formulated in a unified immersed boundary method. The electric potential and transmembrane potential (vesicle case) 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 conducted to illustrate the accuracy and applicability of the present method to simulate droplet and vesicle electrohydrodynamics. Our numerical results are in good agreement with those obtained in previous numerical and theoretical studies. 

Speaker Profile:http://jupiter.math.nctu.edu.tw/~mclai/