TY - GEN
T1 - Two-vortex models for vortex breakdown
AU - Blackmore, Denis
AU - Goullet, Arnaud
AU - Brøns, Morten
PY - 2009
Y1 - 2009
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 -