Robust wall gradient estimation using radial basis functions and proper orthogonal decomposition (POD) for particle image velocimetry (PIV) measured fields

Measurement Science and Technology

Volumn 20, Issue 4, 2009, Pages

  Karri, Satyaprakash ^a   Charonko, John ^a   Vlachos, Pavlos P ^a,b  

^a VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

^b State University   (United States)

Author keywords

Derivative estimation; DPIV; Proper orthogonal decomposition (POD); Radial basis functions; Velocity gradient estimation

Indexed keywords

CHANNEL FLOW; ERRORS; FINITE DIFFERENCE METHOD; FLOW FIELDS; FLOW VISUALIZATION; FUNCTIONS; INTERPOLATION; NUMERICAL METHODS; ORTHOGONAL FUNCTIONS; PRINCIPAL COMPONENT ANALYSIS; RADIAL BASIS FUNCTION NETWORKS; VELOCIMETERS; VELOCITY; VELOCITY MEASUREMENT;

DERIVATIVE ESTIMATION; DPIV; PROPER ORTHOGONAL DECOMPOSITIONS; RADIAL BASIS FUNCTIONS; VELOCITY GRADIENTS;

PARAMETER ESTIMATION;

EID: 63749115537     PISSN: 09570233     EISSN: 13616501     Source Type: Journal    
DOI: 10.1088/0957-0233/20/4/045401     Document Type: Article

References (25)

1. Adrian R J 1991 Particle imaging techniques for experimental fluid mechanics Ann. Rev. Fluid Mech. 23 261-304
2. Willert C E and Gharib M 1991 Digital particle image velocimetry Exp. Fluids 10 181-93
3. Raffel M, Willert C E, Wereley S T and Kompenhans J 2007 Particle Image Velocimetry (Berlin: Springer)
4. Dong S and Meng H 2001 Chebyshev spectral method and Chebyshev noise processing procedure for vorticity calculation in PIV post-processing Exp. Therm. Fluid Sci. 24 47-59
5. Etebari A and Vlachos P P 2005 Improvements on the accuracy of derivative estimation from DPIV velocity measurements Exp. Fluids 39 1040-50
6. Tanaka T and Eaton J K 2007 A correction method for measuring turbulence kinetic energy dissipation rate by PIV Exp. Fluids 42 893-902
7. Lourenco L and Krothapalli A 1995 On the accuracy of velocity and vorticity measurements with PIV Exp. Fluids 18 421-8
8. Luff J D, Drouillard T, Rompage A M, Linne M A and Hertzberg J R 1999 Experimental uncertainties associated with particle image velocimetry (PIV) based vorticity algorithms Exp. Fluids 26 36-54
9. Westerweel J, Daribi D and Gharib M 1997 The effect of discrete window offset on the accuracy of cross-correlation analysis of digital PIV recording Exp. Fluids 23 20-8
10. Foucault J M and Stanislas M 2002 Some considerations on the accuracy and frequency response of some derivative filters applied to particle image velocimetry vector fields Meas. Sci. Technol. 13 1058-71
11. Fouras A and Soria J 1998 Accuracy of out-of-plane vorticity measurements derived from in-plane velocity field data Exp. Fluids 25 409-30
12. Sinha S and Kuhlman P 1992 Investigating the use of stereoscopic particle streak velocimetry for estimating the three-dimensional vorticity field Exp. Fluids 12 377-84
13. Spedding G and Rignot E 1993 Performance analysis and application of grid interpolation techniques for fluid flows Exp. Fluids 15 417-30
14. Powell M J D 1992 The Theory of Radial Basis Functions in 1990 (Advances in Numerical Analysis) ed W Light (Oxford: Oxford University Press) pp 105-207
15. Buhmann M D 2003 Radial Basis Functions: Theory and Applications (Cambridge: Cambridge University Press)
16. Hardy R L 1990 Theory and applications of the multiquadratic method Comput. Math. Appl. 19 163-208
17. Hardy R L 1971 Multiquadratic equations of topography and other irregular surfaces J. Geophys. Res. 76 1905-15
18. Franke R 1982 Scattered data interpolation: tests of some methods Math. Comput. 48 181-200
19. Shulman M V and Mitel'man Y Y 1974 The multiquadratic method of approximating a topographic surface Geod. Mapp. Photogramm. 16 13-17 translated from Russian for AGU, ACSM and ASP 1977
20. Rippa S 1999 An algorithm for selecting a good value for the parameter c in radial basis function interpolation Adv. Comp. Math. 11 193-210
21. Komzsik L 2007 Approximation Techniques for Engineers (Boca Raton, FL: CRC Press) pp 68-70
22. Smith T, Moehlis J and Holmes P 2005 Low dimensional modeling of turbulences using the proper orthogonal decomposition: a tutorial Nonlinear Dyn. 41 273-307
23. Sirovich L 1987 Turbulence and the dynamics of coherent structures. Parts I-III Q. Appl. Math. 45 561-90
24. Stanislas M, Okamoto K and Kahler C J 2005 Main results of the Second International PIV Challenge Exp. Fluids 39 170-91
25. Eckstein A and Vlachos P P 2007 A robust phase correlation DPIV processing algorithm for time resolved measurements PIV Symp. (Rome, Italy)