Comptes Rendus
no. 11-12
Note on the POD-based time interpolation from successive PIV images
Elkhadim Bouhoubeiny1  ; Philippe Druault1
1 Université Pierre et Marie Curie – Paris 6, Institut Jean-Le-Rond-d'Alembert, CNRS UMR 7190, case 162, 4, place jussieu, 75252 Paris cedex 05, France
Comptes Rendus. Mécanique, Volume 337 (2009) no. 11-12, pp. 776-780.

To enhance the temporal resolution of the PIV measurements of pseudo-periodic turbulent flows, Proper Orthogonal Decomposition (POD) has been previously used to time interpolate PIV database. In this note, it is demonstrated that such POD interpolation is equivalent to the classical mathematical interpolation when dealing with the whole POD eigenfunctions, since POD is a linear transform. In fact, the POD-based time interpolation is only valid for the large scale structures of the flow. The advantage of using POD procedure resides in its efficiency in extracting the dominant flow structures. In this sense, other interpolation methods such as turbulent filtering procedures could provide similar results.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crme.2009.10.003
Mots clés : Fluid mechanics, Particle image velocimetry, Proper orthogonal decomposition, Large scale flow structures
Elkhadim Bouhoubeiny 1 ; Philippe Druault 1

1 Université Pierre et Marie Curie – Paris 6, Institut Jean-Le-Rond-d'Alembert, CNRS UMR 7190, case 162, 4, place jussieu, 75252 Paris cedex 05, France 
@article{CRMECA_2009__337_11-12_776_0,
     author = {Elkhadim Bouhoubeiny and Philippe Druault},
     title = {Note on the {POD-based} time interpolation from successive {PIV} images},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {776--780},
     publisher = {Elsevier},
     volume = {337},
     number = {11-12},
     year = {2009},
     doi = {10.1016/j.crme.2009.10.003},
     language = {en},
}
TY  - JOUR
AU  - Elkhadim Bouhoubeiny
AU  - Philippe Druault
TI  - Note on the POD-based time interpolation from successive PIV images
JO  - Comptes Rendus. Mécanique
PY  - 2009
SP  - 776
EP  - 780
VL  - 337
IS  - 11-12
PB  - Elsevier
DO  - 10.1016/j.crme.2009.10.003
LA  - en
ID  - CRMECA_2009__337_11-12_776_0
ER  - 
%0 Journal Article
%A Elkhadim Bouhoubeiny
%A Philippe Druault
%T Note on the POD-based time interpolation from successive PIV images
%J Comptes Rendus. Mécanique
%D 2009
%P 776-780
%V 337
%N 11-12
%I Elsevier
%R 10.1016/j.crme.2009.10.003
%G en
%F CRMECA_2009__337_11-12_776_0
Elkhadim Bouhoubeiny; Philippe Druault. Note on the POD-based time interpolation from successive PIV images. Comptes Rendus. Mécanique, Volume 337 (2009) no. 11-12, pp. 776-780. doi : 10.1016/j.crme.2009.10.003. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2009.10.003/

[1] Ph. Druault; S. Lardeau; J.P. Bonnet; F. Coiffet; J. Delville; E. Lamballais; J.F. Largeau; L. Perret Generation of three-dimensional turbulent inlet conditions for Large-Eddy Simulation, AIAA J., Volume 42 (2004), pp. 447-456

[2] Ph. Druault; Ph. Guibert Use of turbulent flow statistical properties for correcting erroneous velocity vectors in PIV, C. R. Mecanique, Volume 332 (2004), pp. 731-736

[3] Ph. Druault; J. Delville; J.P. Bonnet Experimental 3D analysis of the large scale behaviour of a plane turbulent mixing layer, Flow Turb. Comb., Volume 74 (2005) no. 2, pp. 207-233

[4] R. Everson; L. Sirovich The Karhunen–Loeve procedure for gappy data, J. Opt. Soc. Amer., Volume 12 (1995), pp. 1657-1664

[5] H. Gunes; S. Sirisup; G. Karniadakis Gappy data: To krig or not to krig?, J. Comp. Phys., Volume 212 (2006), pp. 358-382

[6] H. Gunes; U. Rist Spatial resolution enhancement/smoothing of stereo-particle-image-velocimetry data using proper-orthogonal-decomposition-based and kriging interpolations methods, Phys. Fluids, Volume 19 (2007), p. 064101

[7] N. Murray; L. Ukeiley An application of gappy POD for subsonic cavity flow PIV data, Exp. Fluids, Volume 42 (2007) no. 1, pp. 79-91

[8] Ph. Druault; Ph. Guibert; F. Alizon Use of proper orthogonal decomposition for time interpolation from PIV data, Exp. Fluids, Volume 39 (2005), pp. 1009-1023

[9] P. Holmes; J.L. Lumley; G. Berkooz Turbulence, Coherent Structures, Dynamical Systems and Symmetry, Cambridge Monograph on Mechanics, 1996

[10] L. Sirovich Turbulence and the dynamics of coherent structures. Part I: Coherent structures, Quart. Appl. Math., Volume XLV (1987), pp. 561-571

[11] J. Lumley The structure of inhomogeneous turbulent flows (A.M. Yaglom; V.I. Tatarsky, eds.), Atm. Turb. and Radio Wave Prop., Nauka, Moscow, 1967, pp. 166-178

[12] A. Erdil; A. Kodal; K. Aydin Decomposition of turbulent velocity fields in an SI engine, Flow Turb. Comb., Volume 68 (2002), pp. 91-110

[13] S. Roudnitzky; Ph. Druault; Ph. Guibert Proper orthogonal decomposition of in-cylinder engine flow into mean component, coherent structures and random Gaussian fluctuations, J. Turb., Volume 7 (2006) no. 10, pp. 1-19

Cité par Sources :

Commentaires - Politique

Ces articles pourraient vous intéresser

Use of Proper Orthogonal Decomposition for reconstructing the 3D in-cylinder mean-flow field from PIV data

Philippe Druault; Christophe Chaillou

C. R. Méca (2007)

Use of turbulent flow statistical properties for correcting erroneous velocity vectors in PIV

Philippe Druault; Philippe Guibert

C. R. Méca (2004)

Proper Orthogonal Decomposition of the mixing layer flow into coherent structures and turbulent Gaussian fluctuations

Philippe Druault; Joël Delville; Jean-Paul Bonnet

C. R. Méca (2005)