Nonlinear analysis of near-wall turbulence time series

A. Porporato, L. Ridolfi

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


We present the results of the nonlinear analysis of a near-wall turbulence signal, measured using a Laser Doppler Anemometer. Despite being preliminary in part, the results highlight some interesting aspects of the dynamics of coherent structures. Careful reconstruction of the dynamics from the scalar time series highlight particular phases of the bursting cycle, corresponding to the VITA detections, immersed in the overall high-dimension dynamics: the possibility to distinguish these trajectories in the embedding space provides indications for conditional sampling techniques on the reconstructed attractor. The application of nonlinear prediction to a system of high-dimension produces forecasts of rapidly decreasing quality over time, with no consequences for practical applications. Much more interesting instead is the analysis of the forecast errors for very short forecast intervals, where we observed a greater difficulty to predict the beginning of coherent structure instability probably due to the quasi-random forcing of the outer flow.

Original languageEnglish (US)
Pages (from-to)235-261
Number of pages27
JournalApplied Scientific Research (The Hague)
Issue number3-4
StatePublished - Sep 1996
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Engineering


  • Attractor reconstruction
  • Bursting
  • Near-wall turbulence
  • Nonlinear analysis
  • Nonlinear prediction


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