An Immersed Interface Method for Axisymmetric Electrohydrodynamic Simulations in Stokes flow. (30th July 2015)

• Record Type: Journal Article
• Authors: Nganguia, H.; Young, Y.-N.; Layton, A. T.; Hu, W.-F.; Lai, M.-C.
• Is Part Of: Communications in computational physics. Volume 18:Number 2(2015:Aug.)
• Page Start: 429
• Page End: 449
• Publication Date: 2015-07-30
• Subjects: Mathematical physics -- Data processing -- Periodicals; Physics -- Data processing -- Periodicals; 530.150285
• DOI: 10.4208/cicp.171014.270315a
• Languages: English
• ISSNs: 1815-2406

Abstract

<abstract abstract-type="normal"> <title>Abstract</title> <p>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.</p> </abstract>