An Immersed Interface Method for Axisymmetric Electrohydrodynamic Simulations in Stokes flow

An Immersed Interface Method for Axisymmetric Electrohydrodynamic Simulations in Stokes flow

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 nume...

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Veröffentlicht in:Communications in computational physics 2015-08, Vol.18 (2), p.429-449
Hauptverfasser: Nganguia, H., Young, Y.-N., Layton, A. T., Hu, W.-F., Lai, M.-C.
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container_issue 2
container_start_page 429
container_title Communications in computational physics
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creator Nganguia, H.
Young, Y.-N.
Layton, A. T.
Hu, W.-F.
Lai, M.-C.
description 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.
doi_str_mv 10.4208/cicp.171014.270315a
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title An Immersed Interface Method for Axisymmetric Electrohydrodynamic Simulations in Stokes flow
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