TY - GEN

T1 - Two-vortex models for vortex breakdown

AU - Blackmore, Denis

AU - Goullet, Arnaud

AU - Brøns, Morten

PY - 2009/10/19

Y1 - 2009/10/19

N2 - 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.

AB - 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.

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M3 - Conference contribution

AN - SCOPUS:70349921480

SN - 9780791843352

T3 - 2008 Proceedings of the ASME Dynamic Systems and Control Conference, DSCC 2008

SP - 519

EP - 526

BT - 2008 Proceedings of the ASME Dynamic Systems and Control Conference, DSCC 2008

T2 - 2008 ASME Dynamic Systems and Control Conference, DSCC 2008

Y2 - 20 October 2008 through 22 October 2008

ER -