A sensitivity analysis of the point reference global correlation (PRGC) technique for spatio-temporal correlations in turbulent flows |
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Authors: | F Kerhervé J Fitzpatrick Ludovic Chatellier |
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Institution: | (1) Mechanical and Manufacturing Engineering Department, Trinity College-Dublin, Dublin, Ireland;(2) Laboratoire d‘Etudes Aérodynamiques, UMR-CNRS 6609, Poitiers, France |
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Abstract: | The point reference global correlation (PRGC) technique which combines single and global measurements as proposed by Chatellier
and Fitzpatrick (Exp Fluids 38(5):563–757, 2005) is of significant interest for the analysis of the turbulent statistics for noise source modeling in jet flows as it allows
the 2D spatio-temporal correlation functions to be obtained over a region of the flow. This enables the statistical characteristics
including inhomogeneous and anisotropic features to be determined. The sensitivity of the technique is examined in some detail
for the specific case of laser doppler velocimetry (LDV) and particle image velocimetry (PIV). Simulated data are used to
enable a parametric study of the accuracy of the PRGC technique to be determined as a function of the various measurement
parameters. The sample frequencies and the number of samples of both the LDV and PIV signals are shown to be critical to errors
associated with the estimated spatio-temporal correlations and that low data rates can lead to significant errors in the estimates.
Measurements performed in single stream and co-axial jet flows at Mach 0.24 using PIV and LDV systems are reported and the
2D space–time correlation functions for these flows are determined using the PRGC technique. The results are discussed in
the context of noise source modeling for jet flows. |
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