Two-vortex models for vortex breakdown

Denis Blackmore, Arnaud Goullet, Morten Brøns

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

Abstract

A simple Hamiltonian dynamical systems model for vortex breakdown of the bubble-type (B-type) is developed and analyzed. This model is constructed using the flow induced by two point vortices moving in a half-plane immersed in an ideal (= inviscid and incompressible) fluid with an ambient uniform horizontal velocity. It is shown - using a combination of modern dynamical systems theory and numerical analysis - that the flows generated by this model capture most of the dynamical features exhibited in B-type vortex breakdown, including the existence of chaotic regimes. Examples are provided to illustrate the variety and complexity of vortex breakdown type flows that can be produced with these models.

Original languageEnglish (US)
Title of host publication2008 Proceedings of the ASME Dynamic Systems and Control Conference, DSCC 2008
Pages519-526
Number of pages8
EditionPART A
StatePublished - Oct 19 2009
Event2008 ASME Dynamic Systems and Control Conference, DSCC 2008 - Ann Arbor, MI, United States
Duration: Oct 20 2008Oct 22 2008

Publication series

Name2008 Proceedings of the ASME Dynamic Systems and Control Conference, DSCC 2008
NumberPART A

Other

Other2008 ASME Dynamic Systems and Control Conference, DSCC 2008
CountryUnited States
CityAnn Arbor, MI
Period10/20/0810/22/08

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Industrial and Manufacturing Engineering
  • Mechanical Engineering

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