On the two-point correlation of potential vorticity in rotating and stratified turbulence

Journal of Fluid Mechanics

Volumn 555, Issue , 2006, Pages 131-140

  Kurien, Susan ^a   Smith, Leslie ^b   Wingate, Beth ^c  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

^b University of Wisconsin Madison   (United States)

^c LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CORRELATION METHODS; PRANDTL NUMBER; REYNOLDS NUMBER; ROTATIONAL FLOW; TURBULENCE;

BOUSSINESQ EQUATIONS; FROUDE NUMBER; ROSSBY NUMBER; STRATIFIED TURBULENCE; TWO-POINT CORRELATION;

VORTEX FLOW;

CORRELATION METHODS; PRANDTL NUMBER; REYNOLDS NUMBER; ROTATIONAL FLOW; TURBULENCE; VORTEX FLOW;

BOUSSINESQ EQUATION; CORRELATION; FROUDE NUMBER; POTENTIAL VORTICITY; QUASI-GEOSTROPHIC FLOW; REYNOLDS NUMBER; TURBULENCE;

EID: 33749446467     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112006009116     Document Type: Article

References (28)

1. Chambers, A. J. & Antonia, R. A. 1984 Atmospheric estimates of power-law exponent-mu and exponent-mu-theta. Boundary-layer Met. 28, 343-352.
2. Charney, J. 1971 Geostrophic turbulence. J. Atmos. Sci. 28, 1087-1095.
3. Chen, Q., Chen, S. & Eyink, G. 2003 The joint cascade of energy and helicity in three-dimensional turbulence. Phys. Fluids 15, 361-374.
4. Chkhetiani, O. 1996 On the third moments in helical turbulence. JETP Lett. 63, 808-812.
5. Dhruva, B., Tsuji, Y. & Sreenivasan, K. R. 1997 Transverse structure functions in high-Reynolds-number turbulence. Phys. Rev. E 56, R4928-R4930.
6. Embid, P. & Majda, A. 1998 Low Froude number limiting dynamics for stably stratified flow with small or finite Rossby numbers. Geophys. Astrophys. Fluid Dyn. 87, 1-50.
7. Ertel, H. 1942 Ein neuer hydrodynamischer wirbelsatz. Met. Z. 59, 271-281.
8. Frisch, U. 1995 Turbulence: The Legacy of A.N. Kolmogorov. Cambridge University Press.
9. Gomez, T., Politano, H. & Pouquet, A. 2000 Exact relationship for third-order structure functions in helical flows. Phys. Rev. E 61, 5321-5325.
10. Gotoh, T., Fukayama, D. & Nakano, T. 2002 Velocity field statistics in homogeneous steady turbulence obtained using a high-resolution direct numerical simulation. Phys. Fluids 14, 1065-1081.
11. Haynes, P. H. & McIntyre, M. E. 1990 On the conservation and impermeability theorems for potential vorticity. J. Atmos. Sci. 47, 2021-2031.
12. Herring, J. R., Kerr, R. M. & Rotunno, R. 1994 Ertel potential vorticity in unstratified turbulence. J. Atmos. Sci. 51, 35-47.
13. Hill, R. 2002 Exact second-order structure-function relationships. J. Fluid Mech. 468, 317-326.
14. Hoskins, B. J., McIntyre, M. E. & Robertson, A. W. 1985 On the use and significance of isentropic potential vorticity maps. Q. J. R. Met. Soc. 111, 877-946.
15. von Kármán, T. & Howarth, L. 1938 On the statistical theory of isotropic turbulence. Proc. R. Soc. Lond. A 66, 192-215.
16. Kolmogorov, A. 1941a Dissipation of energy in the locally isotropic turbulence. Dokl. Akad. Nauk SSSR 32, 16-18.
17. Kolmogorov, A. 1941b The local structure of turbulence in incompressible viscous fluid for very large Reynolds number. Dokl. Akad. Nauk SSSR 30, 9-13.
18. Kolmogorov, A. 1941c On degeneration (decay) of isotropic turbulence in an incompressible viscous liquid. Dokl. Akad. Nauk SSSR 31, 538-540.
19. Kraichnan, R. 1971 Inertial-range transfer in two and three-dimensional turbulence. J. Fluid Mech. 47, 525-535.
20. Kurien, S. 2003 The reflection-antisymmetric counterpart of the Kármán-Howarth dynamical equation. Physica D 175, 167-176.
21. Kurien, S., Taylor, M. & Matsumoto, T. 2004 Isotropic third-order statistics in turbulence with helicity: The 2/15-law. J. Fluid Mech. 515, 87-97.
22. L'vov, V., Podivilov, E. & Procaccia, I. 1997 Exact result for the 3rd order correlations of velocity in turbulence with helicity. http://arxiv.org/abs/chao-dyn/9705016.
23. Muller, P. 1995 Ertel's potential vorticity theorem in physical oceanography. Rev. Geophys. 33, 67-97.
24. Mydlarski, L. & Warhaft, Z. 1998 Passive scalar statistics in high-Peclet-number grid turbulence. J. Fluid Mech. 358, 135-175.
25. Rhines, P. B. 1986 Vorticity dynamics of the oceanic general-circulation. Annu. Rev. Fluid Mech. 18, 433-497.
26. Sreenivasan, K. R., Vainshtein, S. I., Bhiladvala, R., SanGil, I., Chen, S. & Cao, N. 1996 Asymmetry of velocity increments in fully developed turbulence and the scaling of low-order moments. Phys. Rev. Lett. 77, 1488-1491.
27. Taylor, M., Kurien, S. & Eyink, G. 2003 Recovering isotropic statistics in turbulence simulations: The Kolmogorov 4/5th law. Phys. Rev. E 68, 026310.
28. Yaglom, A. 1949 On the local structure of a temperature field in a turbulent flow. Dokl. Akad. Nauk. SSSR 69, 743-746.