@inproceedings{aa605873f9164f4dbf4ea74c416f37a8,
title = "Two-vortex models for vortex breakdown",
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.",
author = "Denis Blackmore and Arnaud Goullet and Morten Br{\o}ns",
year = "2009",
language = "English (US)",
isbn = "9780791843352",
series = "2008 Proceedings of the ASME Dynamic Systems and Control Conference, DSCC 2008",
number = "PART A",
pages = "519--526",
booktitle = "2008 Proceedings of the ASME Dynamic Systems and Control Conference, DSCC 2008",
edition = "PART A",
note = "2008 ASME Dynamic Systems and Control Conference, DSCC 2008 ; Conference date: 20-10-2008 Through 22-10-2008",
}