Abstract
Abstract
Highlights
The flow past a circular cylinder is a classical configuration which has been widely adopted in the fluid dynamics community as a canonical model to investigate vortex shedding behind bluff bodies
A more thorough characterisation of this phenomenon has been carried out by Thompson et al (2014) who observed that the region of existence of multiple steady-state solutions grows with the Reynolds number
For higher Reynolds numbers, a small region of multiple solutions arises in a small-scale interval around α ≈ 5
Summary
The flow past a circular cylinder is a classical configuration which has been widely adopted in the fluid dynamics community as a canonical model to investigate vortex shedding behind bluff bodies. The so called Mode I becomes unstable via a supercritical Hopf bifurcation and it is present for 0 ≤ α ≤ 2. This mode is the one associated with the classical Bénard–von-Kármán vortex street, and characterised by the alternate shedding of vortices of opposite sign. Note that the picture is further complicated by the existence of three-dimensional (3-D) instabilities in this range This point is outside of the range of the present paper which restricts to 2-D dynamics, but a brief review on 3-D stability properties of this flow can be found in appendix E
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