Two-dimensional Gram-Charlier reconstruction of velocity correlations

Physics of Fluids

Volumn 8, Issue 10, 1996, Pages 2671-2677

  Sullivan, P ^a,c   Pollard, A ^a   Delville, J ^b   Bonnet, J P ^b  

^a QUEEN S UNIVERSITY   (Canada)

^b UNIVERSITÉ DE POITIERS   (France)

^c UNIVERSITY OF TORONTO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 5244240815     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.869053     Document Type: Article

References (22)

1. A. A. Townsend, The Structure of Turbulent Shear Flows (Cambridge University Press, Cambridge, 1976)
2. H. Grant, "The large eddies of turbulent motion," J. Fluid Mech. 4, 149 (1958).
3. J. Delville, S. Bellin, J. Garem, and J. Bonnet, "Analysis of structures in a turbulent, plane mixing layer by use of a pseudo flow visualization method based on hot wire anemometry," in Advances in Turbulence 2, edited by H. Feraholz and H. Fiedler (Springer-Verlag, Berlin, 1989).
4. J. Lumley, "The structure of inhomogeneous turbulent flows," in Atmospheric Turbulence and Radio Wave Propagation, edited by A. Yaglom and V. Tatarsky (Nauka, Moscow, 1967), pp. 166-176.
5. R. Adrian, "On the role of conditional averages in turbulent theory," Turbulence in Liquids (Science Press, Princeton, NJ, 1977).
6. F. Payne, "Generalized Gram-Charlier method for curve fitting statistical data," AIAA J. 7, 2045 (1969).
7. F. Payne and J. Lumley, "Large eddy structure of the turbulent wake behind a circular cylinder," Phys. Fluids 10, S194 (1967).
8. M. Farge, "Wavelet transforms and their applications to turbulence," in Annual Review of Fluid Mechanics, edited by J. L. Lumley, M. Van Dyke, and H. L. Reed (Annual Reviews, Inc., Palo Alto, CA, 1992).
9. P. Sullivan and A. Pollard, "Wavelet decomposition in a three-dimensional wall jet and an enclosed channel," in preparation.
10. P. Sullivan, M. Day, and A. Pollard, "Enhanced VITA techniques for turbulent structure identification," Exp. Fluids 18, 10 (1994).
11. F. Frenkiel and P. Klebanoff, "Higher-order correlations in a turbulent field," Phys. Fluids 10, 507 (1967).
12. F. Durst, J. Jovanović, and T. Johannson, "On the statistical properties of truncated Gram-Charlier series expansion in turbulent wall-bounded flows," Phys. Fluids A 4, 118 (1992).
13. A. Monin and A. Yaglom, Statistical Fluid Mechanics, edited by J. Lumley (MIT Press, Cambridge, MA, 1979).
14. A. Pollard and R. Schwab, "The near field of a rectangular free jet, 1993," submitted to Exp. Fluids.
15. S. Bellin, "Etude experimentale des structures coherentes d'une couche de mélange plane turbulente de fluide incompressible," Ph.D. thesis, Centre d'Etudes Aérodynamiques et Thermiques, Université de Poitiers, France, 1991.
16. W. Press, S. Teukolsky, W. Vetterling, and B. Flannery, Numerical Recipes in Fortran-The Art of Scientific Computing, 2nd ed. (Cambridge University Press, Cambridge, 1992).
17. G. Berkooz, P. Holmes, and J. Lumley, "The proper orthogonal decomposition in the analysis of turbulent flows," in Annual Review of Fluid Mechanics, edited by J. L. Lumley, M. Van Dyke, and H. L. Reed (Annual Reviews, Inc., Palo Alto, CA, 1993).
18. H. Sung and R. Adrian, "Karhunen-Loève expansion of the derivative of an inhomogeneous process," Phys. Fluids 6, 2233 (1994).
19. J. Delville, "Characterization of the organization on shear layers via Proper Orthogonal Decomposition," in Eddy Structure Identification in Free Turbulent Shear Flows, edited by J. Bonnet and M. Glauser (Kluwer Academic, Dordrecht, 1993).
20. J. Lumley, Stochastic Tools in Turbulence (Academic, New York, 1970).
21. P. Sullivan and A. Pollard, "Preliminary investigation of coherent structures in a three-dimensional wall jet using PFV and POD," Proceedings of IUTAM Symposium-Eddy Structure Identification in Free Turbulent Shear Flows, Poitiers, France, October, 1992.
22. J. Delville, S. Bellin, and J. P. Bonnet, "Use of the proper orthogonal decomposition in a plane turbulent mixing layer," in Turbulence and Coherent Structures, edited by M. Lesieur and O. Métais (Grenoble, 1990).