Elimination of peak-locking error in PIV analysis using the correlation mapping method

作者: J Chen , J Katz

DOI: 10.1088/0957-0233/16/8/010

关键词: Image scalingAlgorithmGeometryDistortionCurvatureDisplacement (vector)Particle displacementInterpolationCurve fittingPolynomialMathematicsInstrumentation (computer programming)Applied mathematics

摘要: The peak-locking effect causes mean bias in most of the existing cross-correlation based algorithms for PIV data analysis. This phenomenon is inherent to smooth curve-fitting through discrete correlation values, which used obtain sub-pixel part displacement. Almost all effective methods solve this problem require iterations. In paper we introduce a new technique obtaining accuracy, bypasses curve fitting, and eliminates effect, but does not principles 'correlation mapping method' (CMM) are on following logic: if one uses bi-cubic interpolation express second image first unknown displacement, between them becomes third-order polynomial whose coefficients depend image. Matching with measured provides an equation displacement each point map. A least-squares fit values vicinity peak (e.g. 5 ? points) estimate particle including its part. We combine method corrections distortion (PID) further reduce uncertainty velocity measurements. Three iterations typically achieve converged results. CMM-PID tested using synthetic experimental data. disappears cases. Even 'random' error substantially smaller than that obtained conventional fit. Issues related streamline curvature estimates gradients also discussed.

参考文章(29)
C Willert, Steve T Wereley, Jürgen Kompenhans, Particle Image Velocimetry: A Practical Guide ,(2002)
Gary I. Roth, Daniel T. Mascenik, Joseph Katz, MEASUREMENTS OF THE FLOW STRUCTURE AND TURBULENCE WITHIN A SHIP BOW WAVE Physics of Fluids. ,vol. 11, pp. 3512- 3523 ,(1999) , 10.1063/1.870209
D Di Florio, F Di Felice, G P Romano, Windowing, re-shaping and re-orientation interrogation windows in particle image velocimetry for the investigation of shear flows Measurement Science and Technology. ,vol. 13, pp. 953- 962 ,(2002) , 10.1088/0957-0233/13/7/301
T. Roesgen, Optimal subpixel interpolation in particle image velocimetry Experiments in Fluids. ,vol. 35, pp. 252- 256 ,(2003) , 10.1007/S00348-003-0627-8
M Stanislas, K Okamoto, C K hler, Main results of the first International PIV Challenge Measurement Science and Technology. ,vol. 14, ,(2003) , 10.1088/0957-0233/14/10/201
R D Keane, R J Adrian, Optimization of particle image velocimeters. I, Double pulsed systems Measurement Science and Technology. ,vol. 1, pp. 1202- 1215 ,(1990) , 10.1088/0957-0233/1/11/013
H Huang, D Dabiri, Morteza Gharib, On errors of digital particle image velocimetry Measurement Science and Technology. ,vol. 8, pp. 1427- 1440 ,(1997) , 10.1088/0957-0233/8/12/007
S. T. Wereley, C. D. Meinhart, Second-order accurate particle image velocimetry Experiments in Fluids. ,vol. 31, pp. 258- 268 ,(2001) , 10.1007/S003480100281