Fourth-order velocity statistics

Fluid Dynamics Research

Volumn 28, Issue 1, 2001, Pages 1-22

  Hill, Reginald J ^a   Wilczak, James M ^a  

^a NOAA EARTH SYSTEM RESEARCH LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; CORRELATION METHODS; RANDOM PROCESSES; STATISTICAL METHODS; TURBULENCE; VELOCITY MEASUREMENT; WIND TUNNELS;

FOURTH-ORDER VELOCITY;

COMPUTATIONAL FLUID DYNAMICS;

FLOW VELOCITY; STATISTICAL ANALYSIS; TURBULENCE;

EID: 0034745557     PISSN: 01695983     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0169-5983(00)00017-4     Document Type: Article

References (38)

1. Batchelor, G.K., 1951. Pressure fluctuations in isotropic turbulence. Proc. Cambridge Philos. Soc. 47, 359-374.
2. Batchelor, G.K., 1960. The Theory of Homogeneous Turbulence. Cambridge University Press, Cambridge, England, 197 pp.
3. Dutton, J.A., Deaven, D.G., 1972. Some properties of atmospheric turbulence. In: Rosenblatt, M., Van Atta, C. (Eds.), Statistical Models and Turbulence, Lecture Notes in Physics, Vol. 12. Springer, Berlin, pp. 402-426.
4. Frenkiel, F.N., Klebanoff, P.S., 1967. Higher-order correlations in a turbulent field. Phys. Fluids 10, 507-520.
5. Frenkiel, F.N., Klebanoff, P.S., 1973. Probability distributions and correlations in a turbulent boundary layer. Phys. Fluids 16, 725-737.
6. George, W.K., Beuther, P.D., Arndt, R.E., 1984. Pressure spectra in turbulent free shear flows. J. Fluid Mech. 148, 155-191.
7. Hill, R.J., 1994. The assumption of joint Gaussian velocities as applied to the pressure structure function. NOAA Tech. Rep. ERL 451-ETL 66, NOAA/ERL/Environmental Technology Laboratory, Boulder, CO, 22 pp. [Available from the author or the National Technical Information Service, 5285 Port Royal Rd., Springfield, VA 22161.]
8. Hill, R.J., 1996a. Pressure-velocity-velocity statistics in isotropic turbulence. Phys. Fluids 8, 3085-3093.
9. Hill, R.J., 1996b. Corrections to Taylor's frozen turbulence approximation. Atoms. Res. 40, 153-175.
10. Hill, R.J., Boratav, O.N., 1997. Pressure statistics for locally isotropic turbulence. Phys. Rev. E 56, R2363-R2366.
11. Hill, R.J., Thoroddsen, S.T., 1997. Experimental evaluation of acceleration correlations for locally isotropic turbulence. Phys. Rev. E 55, 1600-1606.
12. Hill, R.J., Wilczak, J.M., 1995. Pressure structure functions and spectra for locally isotropic turbulence. J. Fluid Mech. 296, 247-269.
13. Kolmogorov, A.N., 1941. The local structure of turbulence in incompressible viscous fluid for very large Reynolds numbers. Dokl. Akad. Nauk SSSR 30, 301-305.
14. Kolmogorov, A.N., 1962. A refinement of previous hypotheses concerning the local structure of turbulence in a viscous incompressible fluid at high Reynolds number. J. Fluid Mech. 13, 82-85.
15. Limber, D.N., 1951. Numerical results for pressure-velocity correlations in homogeneous isotropic turbulence. Proc. Natl. Acad. Sci. USA 37, 230-233.
16. Lin, C.C., 1953. On Taylor's hypothesis and the acceleration terms in the Navier-Stokes equations. Quart. Appl. Math. 10, 295-306.
17. Lumley, J.L., 1965. Interpretation of time spectra measured in high-intensity shear flows. Phys. Fluids 8, 1056-1062.
18. Münch, G., Wheelon, A.D., 1958. Space-time correlations in stationary isotropic turbulence. Phys. Fluids 1, 462-468.
19. Mydlarski, L., Warhaft, Z., 1996. On the onset of high-Reynolds-number grid-generated wind tunnel turbulence. J. Fluid Mech. 320, 331-368.
20. Nelkin, M., 1994. Universality and scaling in fully developed turbulence. Adv. Phys. 43, 143-181.
21. Nelkin, M., Tabor, M., 1990. Time correlations and random sweeping in isotropic turbulence. Phys. Fluids A 2, 81-83.
22. Obukhov, A.M., 1949. Pressure fluctuations in turbulent flow. C.R. Acad. Sci. URSS 66, 17-20.
23. Obukhov, A.M., Yaglom, A.M., 1951. The microstructure of turbulent flow. Prikl. Mat. Mekh. 15, 3-26. (Translation in NACA TM 1350, National Advisory Committee for Aeronautics, Washington, DC, June 1953.)
24. Praskovsky, A.A., Gledzer, E.B., Karyakin, M.Yu., Ye Zhow., 1993. The sweeping decorrelation hypothesis and energy-inertial scale interaction in high Reynolds number flows. J. Fluid Mech. 248, 493-511.
25. Proudman, I., Reid, W.H., 1954. On the decay of a normally distributed and homogeneous turbulent velocity field. Philos. Trans. Roy. Soc., Ser. A 247, 163-189.
26. Sanada, T., Shanmugasundaram, V., 1992. Random sweeping effect in isotropic numerical turbulence. Phys. Fluids A 4, 1245-1250.
27. Schumann, U., Patterson, G.S., 1978. Numerical study of pressure and velocity fluctuations in nearly isotropic turbulence. J. Fluid Mech. 88, 685-709.
28. Sreenivasan, K.R., Stolovitzky, G., 1996. Statistical dependence of inertial range properties on large scales in a high-Reynolds-number shear flow. Phys. Rev. E 77, 2218-2221.
29. Sreenivasan, K.R., 1996. The passive scalar spectrum and the Obukhov-Corrsin constant. Phys. Fluids 8, 189-196.
30. Tennekes, H., 1975. Eulerian and Lagrangian time microscales in isotropic turbulence. J. Fluid Mech. 67, 561-567.
31. Thoroddsen, S.T., 1995. Reevaluation of the experimental support for the Kolmogorov refined similarity hypothesis. Phys. Fluids 7, 691-693.
32. Uberoi, M.S., 1953. Quadruple velocity correlations and pressure fluctuations in isotropic turbulence. J. Aero. Sci. 20, 197-204.
33. Van Atta, C.W., Chen, W.Y., 1970. Structure functions of turbulence in the atmospheric boundary layer over the ocean. J. Fluid Mech. 44, 145-159.
34. Van Atta, C.W., Park, J., 1972. Statistical self-similarity and inertial subrange turbulence. In: Rosenblatt, M., Van Atta, C. (Eds.), Statistical Models and Turbulence, Lecture Notes in Physics, Vol. 12. Springer, Berlin, pp. 402-426.
35. Van Atta, C.W., Wyngaard, J.C., 1975. On higher-order spectra of turbulence. J. Fluid Mech. 72, 673-694.
36. Wyngaard, J.C., Clifford, S.F., 1977. Taylor's hypothesis and high-frequency turbulence spectra. J. Atmos. Sci. 34, 922-929.
37. Zhou, Y., Praskovsky, A., Oncley, S., 1995. On the Lighthill relationship and sound generation from isotropic turbulence. Theoret. Comput. Fluid Dyn. 7, 355-361.
38. Zhou, Y., Rubinstein, R., 1996. Sweeping and straining effects in sound generation by high Reynolds number isotropic turbulence. Phys. Fluids 8, 647-649.