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An Immersed Interface Method for Axisymmetric Electrohydrodynamic Simulations in Stokes flow

Published online by Cambridge University Press:  30 July 2015

H. Nganguia ,
Y.-N. Young ,
A. T. Layton ,
W.-F. Hu  and
M.-C. Lai
H. Nganguia
Affiliation:
Department of Biological Sciences, New Jersey Institute of Technology, Newark, NJ 07102, USA Department of Mathematical Sciences, New Jersey Institute of Technology, Newark, NJ 07102, USA
Y.-N. Young*
Affiliation:
Department of Mathematical Sciences, New Jersey Institute of Technology, Newark, NJ 07102, USA
A. T. Layton
Affiliation:
Department of Mathematics, Duke University, Box 90320, Durham, NC 27708, USA
W.-F. Hu
Affiliation:
Department of Applied Mathematics, National Chiao Tung University, 1001, Ta Hsueh Road, Hsingchu 300, Taiwan, R.O.C.
M.-C. Lai
Affiliation:
Department of Applied Mathematics, National Chiao Tung University, 1001, Ta Hsueh Road, Hsingchu 300, Taiwan, R.O.C.
*
*Corresponding author. Email addresses: hn9@njit.edu (H. Nganguia), yyoung@njit.edu (Y.-N. Young), alayton@math.duke.edu (A. T. Layton), weifanhu.am95g@g2.nctu.edu.tw (W.-F. Hu), mclai@math.nctu.edu.tw (M.-C. Lai)
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Abstract

A numerical scheme based on the immersed interface method (IIM) is developed to simulate the dynamics of an axisymmetric viscous drop under an electric field. In this work, the IIM is used to solve both the fluid velocity field and the electric potential field. Detailed numerical studies on the numerical scheme show a second-order convergence. Moreover, our numerical scheme is validated by the good agreement with previous analytical models, and numerical results from the boundary integral simulations. Our method can be extended to Navier-Stokes fluid flow with nonlinear inertia effects.

Keywords

76W0565M0665M12Immersed interface methodleast squares interpolationelectrohydrodynamics

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Type
Research Article
Information
Communications in Computational Physics , Volume 18 , Issue 2 , August 2015 , pp. 429 - 449
Copyright
Copyright © Global-Science Press 2015 

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