An Immersed Interface Method for Axisymmetric Electrohydrodynamic Simulations in Stokes flow

H. Nganguia, Y. N. Young, A. T. Layton, W. F. Hu, M. C. Lai

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

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 languageEnglish (US)
Pages (from-to)429-449
Number of pages21
JournalCommunications in Computational Physics
Volume18
Issue number2
DOIs
StatePublished - Jul 30 2015

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

Keywords

  • Immersed interface method
  • electrohydrodynamics
  • least squares interpolation

Fingerprint

Dive into the research topics of 'An Immersed Interface Method for Axisymmetric Electrohydrodynamic Simulations in Stokes flow'. Together they form a unique fingerprint.

Cite this