Transition to chaos in a confined two-dimensional fluid flow

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

Research output: Contribution to journalArticleAcademicpeer-review

32 Citations (Scopus)
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Abstract

For a two-dimensional fluid in a square domain with no-slip walls, new direct numerical simulations reveal that the transition from steady to chaotic flow occurs through a sequence of various periodic and quasiperiodic flows, similar to the well-known Ruelle-Takens-Newhouse scenario. For all solutions beyond the ground state, the phenomenology is dominated by a domain-filling circulation cell, whereas the associated symmetry is reduced from the full symmetry group of the square to rotational symmetry over an angle . The results complement both laboratory experiments in containers with rigid walls and numerical simulations on double-periodic domains.
Original languageEnglish
Article number104503
Pages (from-to)104503-1/4
Number of pages4
JournalPhysical Review Letters
Volume95
Issue number10
DOIs
Publication statusPublished - 2005

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