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Volume 18, Issue 2
An Immersed Interface Method for Axisymmetric Electrohydrodynamic Simulations in Stokes Flow

H. Ngangui, Y.-N. Young, A. T. Layton, W.-F. Hu & M.-C. Lai

DOI: 10.4208/cicp.171014.270315a

Commun. Comput. Phys., 18 (2015), pp. 429-449.

Published online: 2018-04

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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 [1, 31, 39], and numerical results from the boundary integral simulations [17]. Our method can be extended to Navier-Stokes fluid flow with nonlinear inertia effects.

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@Article{CiCP-18-429, author = {H. Ngangui, Y.-N. Young, A. T. Layton, W.-F. Hu and M.-C. Lai}, title = {An Immersed Interface Method for Axisymmetric Electrohydrodynamic Simulations in Stokes Flow}, journal = {Communications in Computational Physics}, year = {2018}, volume = {18}, number = {2}, pages = {429--449}, 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 [1, 31, 39], and numerical results from the boundary integral simulations [17]. Our method can be extended to Navier-Stokes fluid flow with nonlinear inertia effects.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.171014.270315a}, url = {http://global-sci.org/intro/article_detail/cicp/11034.html} }
TY - JOUR T1 - An Immersed Interface Method for Axisymmetric Electrohydrodynamic Simulations in Stokes Flow AU - H. Ngangui, Y.-N. Young, A. T. Layton, W.-F. Hu & M.-C. Lai JO - Communications in Computational Physics VL - 2 SP - 429 EP - 449 PY - 2018 DA - 2018/04 SN - 18 DO - http://doi.org/10.4208/cicp.171014.270315a UR - https://global-sci.org/intro/article_detail/cicp/11034.html KW - AB -

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 [1, 31, 39], and numerical results from the boundary integral simulations [17]. Our method can be extended to Navier-Stokes fluid flow with nonlinear inertia effects.

H. Ngangui, Y.-N. Young, A. T. Layton, W.-F. Hu and M.-C. Lai. (2018). An Immersed Interface Method for Axisymmetric Electrohydrodynamic Simulations in Stokes Flow. Communications in Computational Physics. 18 (2). 429-449. doi:10.4208/cicp.171014.270315a
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