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 language | English |
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Article number | 104503 |
Pages (from-to) | 104503-1/4 |
Number of pages | 4 |
Journal | Physical Review Letters |
Volume | 95 |
Issue number | 10 |
DOIs | |
Publication status | Published - 2005 |