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.
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Elkhadim Bouhoubeiny 1; Philippe Druault 1
@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 -
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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