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Description of transient states of von Kármán vortex streets by low-dimensional differential equations (1990)

Ohle, F. ; Lehmann, P. ; Roesch, E. ; [et al.]

New York, NY : American Institute of Physics (AIP)

Physics of Fluids 2 (1990), S. 479-481

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ISSN: 1089-7666

Source: AIP Digital Archive

Topics: Physics

Notes: Aperiodic time series of hot-wire signals can be described as trajectories in a state space representation. The flow vector field is calculated by numerical differentiation of these trajectories and then each component of the flow vector field is approximated by a polynomial of order p. This approximation provides a model for the dynamics of the von Kármán vortex street by a low-dimensional system of ordinary differential equations. At a Reynolds number of 114 a compact description of the complex dynamics of the vortex street by a set of only ten parameters can be obtained. It will be shown that these parameters are independent of the probe position for distances greater than two-and-one-half cylinder diameters.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1063/1.857745

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