Next-order structure-function equations

Physics of Fluids

Volumn 13, Issue 1, 2001, Pages 276-283

  Hill, Reginald J ^a   Boratav, Olus N ^b  

^a NOAA EARTH SYSTEM RESEARCH LABORATORY   (United States)

^b School of Operations Research and Industrial Engineering   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; COMPUTER SIMULATION; CORRELATION METHODS; ENERGY DISSIPATION; MATHEMATICAL MODELS; NAVIER STOKES EQUATIONS; PRESSURE MEASUREMENT;

KOLMOGOROV'S EQUATION;

TURBULENCE;

ATMOSPHERIC FLOW; ENERGY; FLOW VELOCITY; PRESSURE GRADIENT;

EID: 0034745735     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1327294     Document Type: Article

References (39)

1. A. S. Monin and A. M. Yaglom, Statistical Fluid Mechanics: Mechanics of Turbulence (MIT Press, Cambridge, MA, 1975), Vol. 2.
2. R. A. Antonia, A. J. Chambers, and L. W. B. Browne, "Relations between structure functions of velocity and temperature in a turbulent jet," Exp. Fluids 1, 213 (1983).
3. θ," Boundary-Layer Meteorol. 28, 343 (1984).
4. L. Danaila, F. Anselmet, T. Zhou, and R. A. Antonia, "A generalization of Yaglom's equation which accounts for the large-scale forcing in heated decaying turbulence," J. Fluid Mech. 391, 359 (1999).
5. L. Danaila, J. Dusek, P. Le Gal, F. Anselmet, C. Brun, and A. Pumir, "Planar isotropy of passive scalar turbulent mixing with a mean perpendicular gradient," Phys. Rev. E 60 1691 (1999).
6. L. Danaila, P. Le Gal, F. Anselmet, F. Plaza, and J. Pinton, "Some new features of the passive scalar mixing in a turbulent flow," Phys. Fluids 11, 636 (1999).
7. A. N. Kolmogorov, "Dissipation of energy in locally isotropic turbulence," Dokl. Akad. Nauk SSSR 32, 16 (1941).
8. A. M. Yaglom, "On the local structure of the temperature field in a turbulent flow," Dokl. Akad. Nauk SSSR 69, 743 (1949).
9. R. J. Hill, "Pressure-gradient, velocity-velocity structure function for locally isotropic turbulence in incompressible fluid," NOAA Tech. Memo. ERL ETL-277 (1996) available from the author or the National Technical Information Service, 5285 Port Royal Rd., Springfield, VA 22161.
10. V. Yakhot, "Mean-field approximation and a small parameter in turbulence theory.," Phys. Rev. E (to be published).
11. R. J. Hill and J. M. Wilczak, "Pressure structure functions and spectra for locally isotropic turbulence," J. Fluid Mech. 296, 247 (1995).
12. R. J. Hill and O. N. Boratav, "Pressure statistics for locally isotropic turbulence," Phys. Rev. E 56, R2363 (1997).
13. M. Nelkin and S. Chen, "The scaling of pressure in isotropic turbulence," Phys. Fluids 10, 2119 (1998).
14. R. J. Hill and S. T. Thoroddsen, "Experimental evaluation of acceleration correlations for locally isotropic turbulence," Phys. Rev. E 55, 1600 (1997).
15. P. Vedula and P. K. Yeung, "Similarity scaling of acceleration and pressure statistics in numerical simulations of isotropic turbulence," Phys. Fluids 11, 1208 (1999).
16. S. Chen, K. R. Sreenivasan, M. Nelkin, and N. Cao, "Refined similarity hypothesis for transverse structure functions in fluid turbulence," Phys. Rev. Lett. 79, 2253 (1997).
17. O. N. Boratav and R. B. Pelz, "Structures and structure functions in the inertial range of turbulence," Phys. Fluids 9, 1400 (1997).
18. O. N. Boratav and R. B. Pelz, "Direct numerical simulation of transition to turbulence from a high-symmetry initial condition," Phys. Fluids A 6, 2757 (1994).
19. O. N. Boratav, "On recent intermittency models of turbulence," Phys. Fluids 9, 1206 (1997).
20. S. Grossmann, D. Lohse, and A. Reeh, "Different intermittency for Ion-gitudinal and transversal turbulent fluctuations," Phys. Fluids 9, 3817 (1997).
21. J. A. Herweijer and W. van de Water, "Transverse structure functions of turbulence," Adv. Turbulence V, 210 (1995).
22. W. van de Water and J. Herweijer, "Anomalous scaling and anisotropy in turbulence," Phys. Ser. T67, 136 (1996).
23. W. van de Water and J. A. Herweijer, "Higher-order structure functions of turbulence," J. Fluid Mech. 387, 3 (1999).
24. R. Camussi and R. Benzi, "Hierarchy of transverse structure functions," Phys. Fluids 9, 257 (1997).
25. B. Dhruva, Y. Tsuji, and K. R. Sreenivasan, "Transverse structure functions in high-Reynolds-number turbulence," Phys. Rev. E 56, R4928 (1997).
26. R. A. Antonia, T. Zhou, and Y. Zhu, "Three-component vorticity measurements in a turbulent grid flow," J. Fluid Mech. 374, 29 (1998).
27. T. Zhou and R. A. Antonia, "Reynolds number dependence of the small-scale structure of grid turbulence," J. Fluid Mech. 406, 81 (2000).
28. H. Kahaleras, Y. Malecot, and Y. Gagne, "Transverse velocity structure functions in developed turbulence," Adv. Turbulence VI, 235 (1996).
29. R. Camussi, D. Barbagallo, R. Guj, and F. Stella, "Transverse and longitudinal scaling laws in non-homogeneous low Re turbulence," Phys. Fluids 8, 1181 (1996).
30. A. Noullez, G. Wallace, W. Lempert, R. B. Miles, and U. Frisch, "Transverse velocity increments in turbulent flow using the relief technique," J. Fluid Mech. 339, 287 (1997).
31. R. Kerr, M. Meneguzzi, and T. Gotoh, "An inertial range length scale in structure functions," Phys. Fluids (submitted).
32. M. Nelkin, "Enstrophy and dissipation must have the same scaling exponent in high Reynolds number turbulence," Phys. Fluids 11, 2202 (1999).
33. A. Pumir and B. I. Shraiman, "Persistent small scale anisotropy in homogeneous shear flows," Phys. Rev. Lett. 75, 3114 (1995).
34. K. R. Sreenivasan and B. Dhruva, "Is there scaling in high-Reynolds-number turbulence?" Prog. Theor. Phys. Suppl. 130, 103 (1998).
35. S. T. Thoroddsen, "Reevaluation of the experimental support for the Kolmogorov refined similarity hypothesis," Phys. Fluids 7, 691 (1995).
36. K. R. Sreenivasan and R. A. Antonia, "The phenomenology of small-scale turbulence," Annu. Rev. Fluid Mech. 29, 435 (1997).
37. H. Tennekes, "Eulerian and Lagrangian time microscales in isotropic turbulence," J. Fluid Mech. 67, 561 (1975).
38. R. J. Hill, "Applicability of Kolmogorov's and Monin's equations of turbulence," J. Fluid Mech. 353, 67 (1997).
39. G. Batchelor, The Theory of Homogeneous Turbulence (Cambridge University Press, Cambridge, England, 1956).