J M Foucaut and M Stanislas 2002 Meas. Sci. Technol. 13 1058 doi:10.1088/0957-0233/13/7/313
J M Foucaut and M Stanislas
Show affiliationsThis paper concerns the computation of derivatives from particle image velocimetry (PIV) velocity fields with the goal of obtaining the vorticity component normal to the plane. A variety of derivative schemes are characterized by their transfer function, taking into account the truncation and 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 us to quantify the effect of the band pass filter and to select the best scheme.
47.11.-j Computational methods in fluid dynamics
02.70.Rr General statistical methods
06.30.Gv Velocity, acceleration, and rotation
Issue 7 (July 2002)
Received 11 December 2001, accepted for publication 27 May 2002, in final form 27 May 2002
Published 20 June 2002
J M Foucaut and M Stanislas 2002 Meas. Sci. Technol. 13 1058
Y Haidar et al 2005 Metrologia 42 115
G Abadal et al 2001 Nanotechnology 12 100
G Cavagnero et al 2004 Metrologia 41 445
Curtis Woodford et al 2007 Phys. Med. Biol. 52 N185
Laura Silva et al. 1998 ApJ 509 103
S Gavrilov et al 1999 Nanotechnology 10 213
A Allisy 1995 Metrologia 31 467
G. R. Burbidge 2003 ApJ 585 112
Marco M Caldarelli and Dietmar Klemm 2004 Class. Quantum Grav. 21 L17