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.
Original language | English (US) |
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Pages (from-to) | 429-449 |
Number of pages | 21 |
Journal | Communications in Computational Physics |
Volume | 18 |
Issue number | 2 |
DOIs | |
State | Published - Jul 30 2015 |
All Science Journal Classification (ASJC) codes
- Physics and Astronomy (miscellaneous)
Keywords
- Immersed interface method
- electrohydrodynamics
- least squares interpolation