Dynamics of fully nonlinear capillary–gravity solitary waves under normal electric fields

T. Gao, P. A. Milewski, D. T. Papageorgiou, J.-M. Vanden-Broeck

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

Two-dimensional capillary–gravity waves travelling under the effect of a vertical electric field are considered. The fluid is assumed to be a dielectric of infinite depth. It is bounded above by another fluid which is hydrodynamically passive and perfectly conducting. The problem is solved numerically by time-dependent conformal mapping methods. Fully nonlinear waves are presented, and their stability and dynamics are studied.

Original languageEnglish
Pages (from-to)107-122
Number of pages16
JournalJournal of Engineering Mathematics
Volume108
Issue number1
Early online date9 Jun 2017
DOIs
Publication statusPublished - 1 Feb 2018

Keywords

  • Solitary wave
  • Surface wave
  • Wave interactions

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)

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