Note on the POD-based time interpolation from successive PIV images

Elkhadim Bouhoubeiny; Philippe Druault

doi:10.1016/j.crme.2009.10.003

Note on the POD-based time interpolation from successive PIV images

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

Comptes Rendus. Mécanique, Volume 337 (2009) no. 11-12, pp. 776-780.

Résumé

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 : 2009-09-09
Accepté le : 2009-10-05
Publié le : 2009-10-27

DOI : 10.1016/j.crme.2009.10.003

Mots clés : Fluid mechanics, Particle image velocimetry, Proper orthogonal decomposition, Large scale flow structures

Affiliations des auteurs :

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

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     title = {Note on the {POD-based} time interpolation from successive {PIV} images},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {776--780},
     publisher = {Elsevier},
     volume = {337},
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     year = {2009},
     doi = {10.1016/j.crme.2009.10.003},
     language = {en},
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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/

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