Math @ Duke
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Publications [#300275] of Anita T. Layton
Papers Published
- Nganguia, H; Young, YN; Layton, AT; Hu, WF; Lai, MC, An Immersed Interface Method for Axisymmetric Electrohydrodynamic Simulations in Stokes flow,
Communications in Computational Physics, vol. 18 no. 2
(July, 2015),
pp. 429-449, Global Science Press, ISSN 1815-2406 [doi]
(last updated on 2020/07/05)
Abstract: Copyright © Global-Science Press 2015. 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.
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