Perturbed three point vortex problems

D. Blackmore*, O. Knio, L. Ting

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

2 Scopus citations

Abstract

Making use of the knowledge of the motions of three point vortices in a planar incompressible flow, which are integrable, we investigate the motions of three-point vortices in a half-plane as perturbations of the original integrable system. Numerical investigations are carried out to show whether the perturbations will remain small or will diverge, respectively, from those corresponding to stable or unstable critical points of the original ones.

Original languageEnglish (US)
Title of host publication3rd M.I.T. Conference on Computational Fluid and Solid Mechanics
Pages594-597
Number of pages4
StatePublished - 2005
Externally publishedYes
Event3rd M.I.T. Conference on Computational Fluid and Solid Mechanics - Boston, MA, United States
Duration: Jun 14 2005Jun 17 2005

Other

Other3rd M.I.T. Conference on Computational Fluid and Solid Mechanics
CountryUnited States
CityBoston, MA
Period06/14/0506/17/05

Keywords

  • Integrable system
  • Perturbation
  • Stability
  • Three point vortices

ASJC Scopus subject areas

  • Fluid Flow and Transfer Processes
  • Computational Mathematics

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