Two-vortex models for vortex breakdown

Document Type

Conference Proceeding

Publication Date

10-19-2009

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. Copyright © 2008 by ASME.

Identifier

70349921480 (Scopus)

ISBN

[9780791843352]

Publication Title

2008 Proceedings of the ASME Dynamic Systems and Control Conference Dscc 2008

First Page

519

Last Page

526

Issue

PART A

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