Abstract
Based on time-resolved PIV (TRPIV) data, a new proper orthogonal decomposition (POD) application is developed to recover the time information between two consecutive PIV time measurements. Indeed, by performing a POD over the full PIV velocity field snapshots, POD coefficients are time-interpolated providing a continuous space–time description of the turbulent flow field. An application of this interpolation method is proposed from TRPIV velocity fields obtained in the tumble plane of in-cylinder engine flow. Available flow dynamical representations then allow some cycle-to-cycle variation analyses based on the instantaneous flow pictures as well as on the statistical data. It has been shown that the cyclic variabilities increase during the compression process and at the end of the compression stage, they decrease to reach those obtained during the intake process.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Celik I, Yavuz I, Smirnov A (2001) Large eddy simulation of in-cylinder turbulence for IC engines: a review. Int J Eng Res 2(2):119–148
Deslandes W, Dumont P, Dupont A, Baby X, Charnay G, Borée J (2004) Airflow cyclic variations analysis in Diesel combustion chamber by PIV measurements. SAE Technical paper Number 2004-01-1410
Druault Ph (1999) Développement d’interfaces expérience/simulation. Application à l’écoulement de couche de mélange plane turbulente. PhD Thesis, University of Poitiers
Druault Ph, Guibert Ph (2004) Use of turbulent flow statistical properties for correcting erroneous velocity vectors in PIV. C R Mecanique 332(9):731–736
Druault Ph, Delville J, Bonnet JP (2005) Experimental 3D analysis of the large scale behaviour of a plane turbulent mixing layer. Flow Turbul Combust 74(2):207–233
Enotiadis AC, Vafidis C, Whitelaw JH (1990) Interpretation of cyclic flow variations in motored internal combustion engines. Exp Fluids 10:77–86
Erdil A, Kodal A, Aydin K (2002) Decomposition of turbulent velocity fields in an SI engine. Flow Turbul Combust 68:91–110
Fogleman M, Lumley J, Rempfer D, Haworth D (2004) Application of the proper orthogonal decomposition to datasets of internal combustion engine flows. J Turb 5(1):23
Graftieaux L, Michard M, Grosjean N (2001) Combining PIV, POD and vortex identification algorithms for the study of unsteady turbulent swirling flows. Meas Sci Technol 12:1422–1429
Guibert P, LeMoyne L (2002) Dual particle image velocimetry for transient flow field measurement. Exp Fluids 33:355–367
Hill PG, Zhang D (1994) The effects of swirl and tumble on combustion in spark-ignition engines. Prog Energy Combust Sci 20:373–429
Heywood JB (1988) Internal combustion engine fundamentals. McGraw-Hill, New York
Holmes P, Lumley JL, Berkooz G (1996) Turbulence, coherent structures, dynamical systems and symmetry. Cambridge monograph on mechanics eds
Hong CW, Tarng SD (2001) In-cylinder tumble flow field measurements and predictions. J Eng Gas Turb Power 123:139–145
Li Y, Zhao H, Ladommatos N (2002) Analysis of large-scale flow characteristics in a four-valve ignition engine. Proc I Mech E Part C J Mech Eng Sci 216(9):923–938
Lourenco L, Subramanian S, Ding Z (1997) Time series velocity field reconstruction from PIV data. Meas Sci Technol 8:1533–1538
Lumley JL (1967) The structure of inhomogeneous turbulent flows. In: Yaglom, Tatarsky (eds) Proc Atm Turb and Radio Wave Prop. Nauka, Moscow, pp 166–178
Lumley JL (1999) Engines, an introduction. Cambridge University Press, Cambridge
Maurel S, Borée J, Lumley JL (2001) Extended proper orthogonal decomposition: application to jet/vortex interaction. Flow Turb Comb 67:125–136
Raposo J, Hentschel W, Merzkirch W (2000) Analysis of the dynamical behavior of coherent structures in in-cylinder flows of internal combustion engines. In: Proceedings of the 10th international symposium on applications of laser technology to fluids mechanics. Lisbon, Portugal
Rempfer R (1995) Investigation of boundary layer transition via Galerkin projection of empirical eigenfunctions. Phys Fluids 8(1):175–188
Sirovich L (1987) Turbulence and the dynamics of coherent structures. Part I: Coherent structures. Q Appl Math XLV:561–571
Soulères T (2003) Simulation des grandes échelles d’écoulements dans des gémotries fixes et mobiles. Application aux moteurs à pistons. PhD University Toulouse, France
Sung J, Yoo JY (2001) Three-dimensional phase averaging of time resolved PIV measurement data. Meas Sci Technol 12:655–662
Towers DP, Towers CE (2004) Cyclic variability measurements of in-cylinder engine flows using high speed particle image velocimetry. Meas Sci Technol 14:1917–1925
Williams TC, Hargraev GK, Haliwell NA (2003) The development of high speed particle image velocimetry (20 kHz) for large eddy simulation code refinement in bluff body flows. Exp Fluids 33:85–91
Acknowledgements
The authors would like to gratefully acknowledge DANTEC monitored by M. Tanguy, for lending us the time resolved PIV system. We also show our gratitude to Jérôme Bonnety for its support on experiments.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Druault, P., Guibert, P. & Alizon, F. Use of proper orthogonal decomposition for time interpolation from PIV data. Exp Fluids 39, 1009–1023 (2005). https://doi.org/10.1007/s00348-005-0035-3
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00348-005-0035-3