An Immersed Interface Method for Axisymmetric Electrohydrodynamic Simulations in Stokes flow

Document Type

Article

Publication Date

7-30-2015

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.

Identifier

84938392889 (Scopus)

Publication Title

Communications in Computational Physics

External Full Text Location

https://doi.org/10.4208/cicp.171014.270315a

e-ISSN

19917120

ISSN

18152406

First Page

429

Last Page

449

Issue

2

Volume

18

Grant

DMS-1009105

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