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Some considerations on the accuracy and frequency response of some derivative filters applied to PIV vector fields

type de publication      article dans une revue internationale avec comité de lecture
date de publication 2002
auteur(s) Foucaut Jean-Marc; Stanislas Michel
journal (abréviation) Measurement Science and Technology (Meas. Sci. Technol.)
volume (numéro) 13 (7)
pages 1058 – 1071
résumé This contribution concerns the computation of derivative from PIV velocity fields with the goal to obtain the vorticity component normal to the plane. A variety of derivative schemes are characterized by their transfer function, taking into account the truncation and the noise amplification. The PIV measurement noise is supposed to be a white one in the Fourier space. A spectral approach is used in order to choose the best filter for turbulent flows. The derivative spectra are discussed. An application is presented on a real turbulent flow with two interrogation window sizes and different derivative schemes. The most significant schemes are also applied to a velocity field containing a single vortex. A comparison of the maximum of vorticity obtained with each scheme and through a least square fit with an Oseen vortex, allows to quantify the effect of the band pass filter and to select the best scheme.
mots clés PIV, derivative computation, vorticity, transfer function, accuracy
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