Wavelet analysis of the breakdown of a pulsed vortex flow

Abstract The paper provides an introduction to the properties and use of the continuous wavelet transform. It then describes the wavelet analysis of the breakdown of a confined vortex flow where time series data of the centre-line velocities from a pulsed vortex flow at a pipe orifice are examined using the Mexican hat wavelet transform. The development of the signal from the periodic, vortex flow via an energetic turbulent breakdown region to a flow composed of low-frequency coherent structures at intermittent temporal scales is monitored using wavelet transform plots, wavelet energy plots and wavelet power spectra.

[1]  Richard Kronland-Martinet,et al.  The Wavelet Transform for Analysis, Synthesis, and Processing of Speech and Music Sounds , 1988 .

[2]  F.B. Tuteur,et al.  Wavelet transformations in signal detection , 1988, ICASSP-88., International Conference on Acoustics, Speech, and Signal Processing.

[3]  U. Frisch,et al.  Wavelet analysis of turbulence reveals the multifractal nature of the Richardson cascade , 1989, Nature.

[4]  Alain Arneodo,et al.  Wavelet Transform Analysis of Invariant Measures of Some Dynamical Systems , 1989 .

[5]  Lawrence Sirovich,et al.  Wavelet analysis of the turbulent jet , 1990 .

[6]  Michio Yamada,et al.  An identification of Energy Cascade in Turbulence by Orthonormal Wavelet Analysis , 1991 .

[7]  K. Ohkitani,et al.  Orthonormal wavelet analysis of turbulence , 1991 .

[8]  E. Bacry,et al.  Wavelets and multifractal formalism for singular signals: Application to turbulence data. , 1991, Physical review letters.

[9]  C. Meneveau.  Analysis of turbulence in the orthonormal wavelet representation , 1991, Journal of Fluid Mechanics.

[10]  U. Frisch,et al.  Wavelet transforms of self-similar processes , 1991 .

[11]  Meneveau,et al.  Dual spectra and mixed energy cascade of turbulence in the wavelet representation. , 1991, Physical review letters.

[12]  T. Spies,et al.  Characterizing canopy gap structure in forests using wavelet analysis , 1992 .

[13]  M. Farge.  Wavelet Transforms and their Applications to Turbulence , 1992 .

[14]  Lonnie H. Hudgins,et al.  Wavelet transforms and atmopsheric turbulence. , 1993, Physical review letters.

[15]  Bai-lian Li,et al.  Wavelet Analysis of Coherent Structures at the Atmosphere-Forest Interface. , 1993 .

[16]  J. Lewalle.  Energy dissipation in the wavelet‐transformed Navier–Stokes equations , 1993 .

[17]  Nicholas K.-R. Kevlahan,et al.  The space and scale dependencies of the self-similar structure of turbulence , 1994, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.

[18]  John R. Williams,et al.  Introduction to wavelets in engineering , 1994 .

[19]  J. Lewalle,et al.  On the structure of a two‐dimensional wake behind a pair of flat plates , 1994 .

[20]  W. J. Staszewski,et al.  Application of the Wavelet Transform to Fault Detection in a Spur Gear , 1994 .

[21]  M Unser,et al.  Fast wavelet transformation of EEG. , 1994, Electroencephalography and clinical neurophysiology.

[22]  M. Leclerc,et al.  Conditional Sampling of Coherent Structures in Atmospheric Turbulence Using the Wavelet Transform , 1994 .

[23]  Marc B. Parlange,et al.  Intermittency, local isotropy, and non‐Gaussian statistics in atmospheric surface layer turbulence , 1994 .

[24]  R. Shaw,et al.  Pseudo-wavelet analysis of turbulence patterns in three vegetation layers , 1995 .

[25]  J. B. Ramsey,et al.  An Analysis of U.S. Stock Price Behavior Using Wavelets , 1995 .

[26]  D. Okaya,et al.  Frequency‐time decomposition of seismic data using wavelet‐based methods , 1995 .

[27]  Roger H. Shaw,et al.  The leakage problem of orthonormal wavelet transforms when applied to atmospheric turbulence , 1995 .

[28]  C. Basdevant,et al.  Wavelet spectra compared to Fourier spectra , 1995 .

[29]  Pierre E. Sullivan,et al.  Coherent structure identification from the analysis of hot-wire data , 1996 .

[30]  M. R. Hajj,et al.  Application of wavelet analysis to incident wind in relevance to wind loads on low-rise structures , 1996 .

[31]  R. Polozov,et al.  Wavelet analysis of DNA sequences. , 1996, Genetic analysis : biomolecular engineering.

[32]  P. S. Addison,et al.  An Experimental Investigation Into the Breakdown of Low Reynolds Number Pulsed Flows at a Pipe Orifice , 1997 .

[33]  S.N. Tandon,et al.  Using wavelet transforms for ECG characterization. An on-line digital signal processing system , 1997, IEEE Engineering in Medicine and Biology Magazine.

[34]  Andrew T. Walden,et al.  Characterizing seismic time series using the discrete wavelet transform , 1997 .

[35]  Hui Li,et al.  Application of Wavelet Cross-Correlation Analysis to a Plane Turbulent Jet , 1997 .