Skip to main content
SpringerLink
Log in

Denoising methods for time-resolved PIV measurements

  • Research Article
  • Published:
Experiments in Fluids Aims and scope Submit manuscript

Abstract

The increasing capabilities of currently available high-speed cameras present several new opportunities for particle image velocimetry (PIV). In particular, temporal postprocessing methods can be used to remove spurious vectors but can also be applied to remove inherent noise. This paper explores this second possibility by estimating the error introduced by several denoising methods on manufactured velocity fields. It is found that PIV noise, while autocorrelated in space, is uncorrelated in time, which leads to a significant improvement in the efficiency of temporal denoising methods compared to their spatial counterparts. Among them, the optimal Wiener filter presents better results than convolution- or wavelet-based filters and has the valuable advantage that no adjustments are required, unlike other methods which generally involve the tuning of some parameters that depend on flow and measurement conditions and are not known a priori. Further refinements show that denoised data can be successfully deconvolved to increase the accuracy of remaining small-scale velocity fluctuations, leading in particular to the recovery of the true shape of turbulent spectra. In practice, the computation of the filter function is not always accurate and different procedures can be used to improve the method depending on the flow considered. Some of them are derived from the properties of the time-frequency spectrum provided by the wavelet transform.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17
Fig. 18
Fig. 19
Fig. 20
Fig. 21

Similar content being viewed by others

References

  • Addison P, Murray K, Watson J (2001) Wavelet transform analysis of open channel wake flows. J Eng Mech-ASCE 127:58–70

    Article  Google Scholar 

  • Addison PS (2002) The illustrated wavelet transform handbook. Institute of Physics Publishing, USA

    Book  MATH  Google Scholar 

  • Adrian RJ (1995) Limiting resolution of particle image velocimetry for turbulent flow. In: Advances in turbulence research. Proceedings of 2nd turbulence research association conference on Pohang Inst. Tech., pp 1–19

  • Adrian RJ (2005) Twenty years of particle image velocimetry. Exp Fluids 39:159–169

    Article  Google Scholar 

  • Bellofiore A, Donohue E, Quinlan N (2011) Scale-up of an unsteady flow field for enhanced spatial and temporal resolution of PIV measurements: application to leaflet wake flow in a mechanical heart valve. Exp Fluids (to appear)

  • Chakraborty P, Balachandar S, Adrian RJ (2005) On the relationship between local vortex identification schemes. J Fluid Mech 535:189–214

    Article  MathSciNet  MATH  Google Scholar 

  • Falchi M, Romano G (2009) Evaluation of the performance of high-speed PIV compared to standard PIV in a turbulent jet. Exp Fluids 47:509–526

    Article  Google Scholar 

  • Farge M (1992) Wavelet transforms and their application to turbulence. Annu Rev Fluid Mech 24:395–457

    Article  MathSciNet  Google Scholar 

  • Fore L, Tung A, Buchanan J, Welch J (2005) Nonlinear temporal filtering of time-resolved digital particle image velocimetry data. Exp Fluids 39:22–31

    Article  Google Scholar 

  • Foucaut J, Carlier J, Stanislas M (2004) PIV optimization for the study of turbulent flow using spectral analysis. Meas Sci Technol 15:1046–1058

    Article  Google Scholar 

  • Fung JCH, Hunt JCR, Malik NA, Perkins RJ (1992) Kinematic simulation of homogeneous turbulence by unsteady random Fourier modes. J Fluid Mech 236:281–318

    Article  MathSciNet  MATH  Google Scholar 

  • Green MA, Rowley CW, Haller G (2007) Detection of lagrangian coherent structures in three-dimensional turbulence. J Fluid Mech 572:111–120

    Article  MathSciNet  MATH  Google Scholar 

  • Haller G (2002) Lagrangian coherent structures from approximate velocity data. Phys Fluids 14:1851–1861

    Article  MathSciNet  Google Scholar 

  • Henning A, Ehrenfried K (2008) On the accuracy of one-point and two-point statistics measured via high-speed PIV. In: 14th International symposium on applications of laser techniques to fluid mechanics, Lisbon

  • Herpin S, Wong CY, Stanislas M, Soria J (2008) Stereoscopic PIV measurements of a turbulent boundary layer with a large spatial dynamic range. Exp Fluids 45:745–763

    Article  Google Scholar 

  • Katul G, Parlange M, Chu C (1994) Intermittency, local isotropy, and non-Gaussian statistics in atmospheric surface layer turbulence. Phys Fluids 6:2480–2492

    Article  Google Scholar 

  • Keane R, Adrian R (1990) Optimization of particle image velocimeters. Part I: Double pulsed systems. Meas Sci Technol 1:1202–1215

    Article  Google Scholar 

  • Keane R, Adrian R (1991) Optimization of particle image velocimeters. Part II: Multiple pulsed systems. Meas Sci Technol 2:963–974

    Article  Google Scholar 

  • Keane R, Adrian R (1992) Theory of cross-correlation analysis of PIV images. Appl Sci Res 49:191–215

    Article  Google Scholar 

  • Lavoie P, Avallone G, De Gregorio F, Romano GP, Antonia RA (2007) Spatial resolution of PIV for the measurement of turbulence. Exp Fluids 43(1):39–51

    Article  Google Scholar 

  • Lecordier B, Demare D, Vervisch L, Reveillon J, Trinite M (2001) Estimation of the accuracy of PIV treatments for turbulent flow studies by direct numerical simulation of multi-phase flow. Meas Sci Technol 12(9):1382–1391

    Article  Google Scholar 

  • Prasad AK, Adrian RJ, Landreth CC, Offut PW (1992) Effect of resolution on the speed and accuracy of particle image velocimetry interrogation. Exp Fluids 13:105–116

    Article  Google Scholar 

  • Press WH, Flannery BP, Teukolsky SA, Vetterling WT (1992) Numerical recipes in Fortran 77: the art of scientific computing. Cambridge University Press, Cambridge

  • Raffel M, Willert CE, Kompenhans J (2002) Particle image velocimetry: a practical guide. Springer, Berlin

    Google Scholar 

  • Son S, Kihm K (2001) Evaluation of transient turbulent flow fields using digital cinematographic particle image velocimetry. Exp Fluids 30:537–550

    Article  Google Scholar 

  • Studer G, Arnal D, Houdeville R, Seraudie A (2006) Laminar-turbulent transition in oscillating boundary layer: experimental and numerical analysis using continuous wavelet transform. Exp Fluids 41:685–698

    Article  Google Scholar 

  • Vaseghi SV (2009) Advanced digital signal processing and noise reduction. Wiley, London

    Google Scholar 

  • Vétel J, Garon A, Pelletier D, Farinas MI (2008) Asymmetry and transition to turbulence in a smooth axisymmetric constriction. J Fluid Mech 607:351–386

    Article  MATH  Google Scholar 

  • Vétel J, Garon A, Pelletier D (2010) Vortex identification methods based on temporal signal-processing of time-resolved PIV data. Exp Fluids 48:441–459

    Article  Google Scholar 

  • Westerweel J, Draad A, van der Hoeven J, van Oord J (1996) Measurement of fully-developed turbulent pipe flow with digital particle image velocimetry. Exp Fluids 20:165–177

    Article  Google Scholar 

  • Willert CE, Gharib M (1991) Digital particle image velocimetry. Exp Fluids 10:181–193

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, LADYF, École Polytechnique de Montréal, C.P. 6079, Succursale Centre-ville, Montreal, QC, H3C 3A7, Canada

    Jérôme Vétel, André Garon & Dominique Pelletier

Authors
  1. Jérôme Vétel
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. André Garon
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Dominique Pelletier
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Jérôme Vétel.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Vétel, J., Garon, A. & Pelletier, D. Denoising methods for time-resolved PIV measurements. Exp Fluids 51, 893–916 (2011). https://doi.org/10.1007/s00348-011-1096-0

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00348-011-1096-0

Keywords

Search

Navigation