Estimation of burst-mode LDA power spectra

AbstractThe estimation of power spectra from LDA data provides signal processing challenges for fluid dynamicists for several reasons: acquisition is dictated by randomly arriving particles, the registered particle velocities tend to be biased toward higher values, and the signal is highly intermittent. The signal can be interpreted correctly by applying residence time weighting to all statistics and using the residence time-weighted discrete Fourier transform to compute the Fourier transform. A new spectral algorithm using the latter is applied to two experiments: a cylinder wake and an axisymmetric turbulent jet. These are compared with corresponding hot-wire spectra as well as to alternative algorithms for LDA signals such as the time-slot correlation method, sample-and-hold and common weighting schemes.

[1]  William K. George,et al.  Downstream evolution of the most energetic modes in a turbulent axisymmetric jet at high Reynolds number. Part 1. The near-field region , 2004, Journal of Fluid Mechanics.

[2]  J. Wang.  Measurement accuracy of flow velocity via a digital-frequency-counter laser velocimeter processor , 1976 .

[3]  Johan Persson,et al.  An experimental study of a two-dimensional plane turbulent wall jet , 1998 .

[4]  P. Welch.  The use of fast Fourier transform for the estimation of power spectra: A method based on time averaging over short, modified periodograms , 1967 .

[5]  Clara Marika Velte,et al.  Characterization of Vortex Generator Induced Flow , 2009 .

[6]  J. Lumley,et al.  Processing of Random Signals , 1978 .

[7]  M. S. Quigley,et al.  Experimental evaluation of sampling bias in individual realization laser anemometry , 1977 .

[8]  Holger Nobach,et al.  Experimental verification of novel spectral analysis algorithms for laser doppler anemometry data , 2000 .

[9]  William K. George,et al.  Velocity measurements in a high-Reynolds-number, momentum-conserving, axisymmetric, turbulent jet , 1994, Journal of Fluid Mechanics.

[10]  W. Rodi,et al.  New biasing elimination method for laser‐Doppler velocimeter counter processing , 1977 .

[11]  Preben Buchhave,et al.  The Measurement of Turbulence with the Laser-Doppler Anemometer , 1979 .

[12]  William G. Tiederman,et al.  Effect of Finite-Size Probe Volume upon Laser Doppler Anemometer Measurements , 1976 .

[13]  C. Tropea,et al.  Laser Doppler and Phase Doppler Measurement Techniques , 2002 .

[14]  R. Adrian,et al.  Power spectra of fluid velocities measured by laser Doppler velocimetry , 1985 .

[15]  W. G. Tiederman,et al.  Biasing correction for individual realization of laser anemometer measurements in turbulent flows , 1973 .

[16]  John L. Lumley,et al.  The laser-Doppler velocimeter and its application to the measurement of turbulence , 1973, Journal of Fluid Mechanics.

[17]  Maja Wänström.  Spatial Decompositions of a Fully-developed Turbulent Round Jet Sampled with Particle Image Velocimetry , 2009 .

[18]  J. H. Whitelaw,et al.  The influence of combustion-induced particle concentration variations in laser-Doppler anemometry , 1976 .

[19]  P. Scott,et al.  Parameters Affecting Laser Velocimeter Turbulence Spectra Measurements , 1974 .

[20]  W T Mayo,et al.  The Development of New Digital Data Processing Techniques for Turbulence Measurements with a Laser Velocimeter , 1974 .

[21]  S. P. Capp.  Experimental investigation of the turbulent axisymmetric jet , 1983 .

[22]  Michael Gaster,et al.  Spectral Analysis of Randomly Sampled Signals , 1975 .

[23]  Jerry Westerweel,et al.  Two-point similarity in the round jet , 2007, Journal of Fluid Mechanics.

[24]  R. Gellert,et al.  Particle arrival statistics in laser anemometry of turbulent flow , 1976 .

[25]  Preben Buchhave,et al.  The effect of dead time on randomly sampled power spectral estimates , 2014, 1906.05339.

[26]  P. Buchhave.  The measurement of turbulence with the burst-type laser Doppler anemometer: Errors and correction methods , 1979 .

[27]  William K. George,et al.  Quantitative measurement with the burst-mode laser Doppler anemometer☆ , 1988 .

[28]  Robert V. Edwards,et al.  Report of the Special Panel on Statistical Particle Bias Problems in Laser Anemometry , 1987 .

[29]  Lance R. Collins,et al.  Reynolds number scaling of particle clustering in turbulent aerosols , 2004 .