Attractor crisis and bursting in a fluid flow with two no-slip directions

D. Molenaar, H.J.H. Clercx, G.J.F. Heijst, van, Z. Yin

Research output: Contribution to journalArticleAcademicpeer-review

6 Citations (Scopus)
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Abstract

Characteristic burtsing behavior is observed in a driven, two-dimensional viscous flow, confined to a square domain and subject to no-slip boundaries. Passing a critical parameter value, an existing chaotic attractor undergoes a crisis, after which the flow initially enters a transient bursting regime. Bursting is caused by ejections from and return to a limited subdomain of the phase space, whereas the precrisis chaotic set forms the asymptotic attractor of the flow. For increasing values of the control parameter the length of the bursting regime increases progressively. Passing another critical parameter value, a second crisis leads to the appearance of a secondary type of bursting, of very large dynamical range. Within the bursting regime the flow then switches in irregular intervals from the primary to the secondary type of bursting. Peak enstrophy levels for both types of bursting are associated to the collapse of a primary vortex into a quadrupolar state.
Original languageEnglish
Article number036309
Pages (from-to)036309-1/7
Number of pages7
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume75
Issue number3
DOIs
Publication statusPublished - 2007

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