Perturbed three point vortex problems

D. Blackmore, O. Knio, L. Ting

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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 - Dec 1 2005
Event3rd M.I.T. Conference on Computational Fluid and Solid Mechanics - Boston, MA, United States
Duration: Jun 14 2005Jun 17 2005

Publication series

Name3rd M.I.T. Conference on Computational Fluid and Solid Mechanics

Other

Other3rd M.I.T. Conference on Computational Fluid and Solid Mechanics
CountryUnited States
CityBoston, MA
Period6/14/056/17/05

All Science Journal Classification (ASJC) codes

  • Fluid Flow and Transfer Processes
  • Computational Mathematics

Keywords

  • Integrable system
  • Perturbation
  • Stability
  • Three point vortices

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