Experiments in Fluids

, 54:1488 | Cite as

A parametric PIV/DIC method for the measurement of free surface flows

  • Ludovic Chatellier
  • Sébastien Jarny
  • Florence Gibouin
  • Laurent David
Research Article

Abstract

The present paper addresses the problem of combined three-dimensional measurements of shape and velocity of moving free surfaces. A measurement method based on the cross-correlation of image pairs obtained from a calibrated stereoscopic vision system is presented. The underlying concept of the method consists in the generation of parametric shape and displacement forms which are directly projected on the camera models. This procedure is then integrated in an iterative optimization process so that elevation, orientation, curvature and displacement of each surface subset are accurately estimated. An application to an inclined plane flow of a non-Newtonian fluid is proposed as an alternative to conventional rheometric solutions.

Keywords

Free Surface Particle Image Velocimetry Digital Image Correlation Synthetic Image Free Surface Flow 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgments

The algorithms described in this paper have been implemented using the C++ Slip library (Simple Library for Image Processing, Tremblais et al. 2010) jointly developed at XLIM and P’, which the authors gratefully acknowledge. This work is realized in a framework supported by CPER 13 and the FEDER program.

References

  1. Adam J, Urai JL, Wieneke B, Oncken O, Pfeiffer K, Kukowski N, Lohrmann J, Hoth S, van der Zee W, Schmatz J (2005) Shear localisation and strain distribution during tectonic faulting—new insights from granular-flow experiments and high-resolution optical image correlation techniques. J Struct Geol 27: 283–301CrossRefGoogle Scholar
  2. Bruck HA, McNeill SR, Sutton MA, Peters WH III (1989) Digital image correlation using newton-raphson method of partial differential correction. Exp Mech 29(3): 261–267CrossRefGoogle Scholar
  3. Calluaud D, David L (2004) Stereoscopic particle image velocimetry measurements of the flow around a surface-mounted block. Exp Fluids 36(1): 53–61CrossRefGoogle Scholar
  4. Douxchamps D, Devriendt D, Capart H, Craeye C, Macq B, Zech Y (2005) Stereoscopic and velocimetric reconstructions of the free surface topography of antidune flows. Exp Fluids 39:533–551CrossRefGoogle Scholar
  5. Faugeras OD, Toscani G (1987) Camera calibration for 3d computer vision. In: International workshop on machine vision and machine intelligence, Tokyo, Japan, pp 240–247Google Scholar
  6. Fouras A, Lo Jacono D, Sheard GJ, Hourigan K (2008) Measurement of instantaneous velocity and surface topography in the wake of a cylinder at low Reynolds number. J Fluids Struct 24:1271–1277CrossRefGoogle Scholar
  7. Fusiello A, Trucco E, Verri A (2000) A compact algorithm for rectification of stereo pairs. Mach Vis Appl 12:16–22Google Scholar
  8. Garcia D, Orteu JJ, Penazzi L (2002) A combined temporal tracking and stereo-correlation technique for accurate measurement of 3d displacements: application to sheet metal forming. J Mater Process Technol 125-126: 736–742CrossRefGoogle Scholar
  9. Gautier B and Valle V (2001) Mesure de reliefs en dynamique par moiré de projection couleur et analyse quasi-hétérodyne. In: Proceedings of Photomécanique, Poitiers, pp 343–350Google Scholar
  10. Habbecke M and Kobbelt L (2006) Iterative multi-view plane fitting. In: 11th international fall workshop vision, modeling, and visualization, pp 73–80Google Scholar
  11. Habbecke M and Kobbelt L (2007) A surface-growing approach to multi-view stereo reconstruction. In: IEEE conference on computer vision and pattern recognition, pp 1–8Google Scholar
  12. Helm J, McNeill SR, Sutton MA (1996) Improved three-dimensional image correlation for surface displacement measurement. Opt Eng 35(7): 1911–1996CrossRefGoogle Scholar
  13. Hild F and Roux S (2006) Digital image correlation from displacement measurement to identification of elastic properties: a review. Strain 42(2):69–80CrossRefGoogle Scholar
  14. Jähne B, Schmidt M, Rocholz R (2005) Combined optical slope/height measurements of short wind waves: principle and calibration. Meas Sci Technol 16: 1937–1944CrossRefGoogle Scholar
  15. Jarny S, Chatellier L, Gibouin F, Monnet P (2010) 3d surface and velocity measurements: application to inclined plane flows for rheological analys. In: First european congress of the IAHR, Edinburgh, UKGoogle Scholar
  16. Jëhle M, Jähne B (2008) A novel method for three-dimensional three-component analysis of flows close to free water surfaces. Exp Fluids 44: 469–480CrossRefGoogle Scholar
  17. Jëhle M, Jarny S, David L (2008) Différentes approches pour la mesure d’interfaces et de surface libre. In: 11ème Congrès Francophone de Techniques Lasers, Poitiers (France), pp 225–232Google Scholar
  18. Jodeau M, Hauet A, Paquier A, Le Coz J, Dramais G (2008) Application and evaluation of LS-PIV technique for the monitoring of river surface velocities in high flow conditions. Flow Meas. Instrum. 19(2):117–127CrossRefGoogle Scholar
  19. Moisy F, Rabaud M, Salsac K (2009) A synthetic schlieren method for the measurement of the topography of a liquid interface. Exp Fluids 46(6):1021–1036CrossRefGoogle Scholar
  20. Morris NJW, Kiriakos, Kutulakos N (2005) Dynamic refraction stereo. In: Proceedings of the tenth IEEE international conference on computer vision, pp 1573–1580Google Scholar
  21. Nelder JA, Mead R (1965) A simplex method for function minimization. Comput J 7: 308–313MATHCrossRefGoogle Scholar
  22. Prasad AK (2000) Stereoscopic particle image velocimetry. Exp Fluids 29(2): 103–116CrossRefGoogle Scholar
  23. Scarano F, David L, Bsibsi M, Calluaud D (2005) S-piv comparative assessment: image dewarping + misalignment correction and pinhole + geometric back projection. Exp Fluids 39(2):257–266CrossRefGoogle Scholar
  24. Tremblais B, David L, Arrivault D, Dombre J, Chatellier L, Thomas L (2010) SLIP: simple library for image processing (Version 1.0). [Software, CeCILL-C Licence]. University of Poitiers, France. http://www.sic.sp2mi.univ-poitiers.fr/slip/
  25. Tsubaki R, Fujita I (2005) Stereoscopic measurement of a fluctuating free surface with discontinuities. Meas Sci Technol 16:1894CrossRefGoogle Scholar
  26. Turney DE, Anderer A, Banerjee S (2009) A method for three-dimensional interfacial particle image velocimetry (3D-IPIV) of an air-water interface. Meas Sci Technol 20(4)Google Scholar
  27. Wanek JM, Wu CH (2006) Automated trinocular stereo imaging system for three-dimensional surface wave measurements. Ocean Eng 33(5–6):723–747CrossRefGoogle Scholar
  28. Westerweel J (1997) Fundamentals of digital particle image velocimetry. Meas Sci Technol 8:1379–1392CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Ludovic Chatellier
    • 1
  • Sébastien Jarny
    • 1
  • Florence Gibouin
    • 1
  • Laurent David
    • 1
  1. 1.Département Fluides, Thermique, CombustionInstitut P’, CNRS, Université de Poitiers, ENSMA, UPR 3346Futuroscope CedexFrance

Personalised recommendations