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

F. Ohle, P. Lehmann, E. Roesch, H. Eckelmann, A. Hübler

Research output: Contribution to journalArticlepeer-review

Abstract

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-dimensionai 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.

Original languageEnglish (US)
Pages (from-to)479-481
Number of pages3
JournalPhysics of Fluids A
Volume2
Issue number4
DOIs
StatePublished - Jan 1 1990

ASJC Scopus subject areas

  • Engineering(all)

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