Diminishing inverse transfer and non-cascading dynamics in surface quasi-geostrophic turbulence

Physica D: Nonlinear Phenomena

Volumn 213, Issue 1, 2006, Pages 76-84

  Tran, Chuong V ^a,b  

^a UNIVERSITY OF WARWICK   (United Kingdom)

^b UNIVERSITY OF ST ANDREWS   (United Kingdom)

Author keywords

Diminishing inverse flux; Inverse transfer; Surface quasi geostrophic turbulence

Indexed keywords

ENERGY DISSIPATION; INVERSE PROBLEMS; KINETIC ENERGY; NONLINEAR EQUATIONS; NUMERICAL ANALYSIS; SURFACE PHENOMENA;

DIMINISHING INVERSE FLUX; INVERSE TRANSFER; NONLINEAR TRANSFER; SURFACE QUASI-GEOSTROPHIC TURBULENCE;

TURBULENCE;

EID: 29144506983     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2005.11.001     Document Type: Article

References (34)

1. G.K. Batchelor Computation of the energy spectrum in homogeneous two-dimensional turbulence Phys. Fluids 12 II 1969 233 239
2. W. Blumen Uniform potential vorticity flow, Part I: Theory of wave interactions and two-dimensional turbulence J. Atmospheric Sci. 35 1978 774 783
3. V. Borue Inverse energy cascade in stationary two-dimensional homogeneous turbulence Phys. Rev. Lett. 72 1994 1475 1478
4. J.G. Charney On the scale of atmospheric motions Geofys. Publ. 17 1948 3 17
5. J.G. Charney Geostrophic turbulence J. Atmospheric Sci. 28 1971 1087 1095
6. P. Constantin Energy spectrum of quasigeostrophic turbulence Phys. Rev. Lett. 89 2002 184501
7. P. Constantin, D. Códorba, and J. Wu On the critical dissipative quasi-geostrophic equation Indiana Univ. Math. J. 50 2001 97 107
8. P. Constantin, C. Foias, and O.P. Manley Effects of the forcing function spectrum on the energy spectrum in 2-D turbulence Phys. Fluids 6 1994 427 429
9. P. Constantin, A.J. Majda, and E.G. Tabak Singular front formation in a model for quasigeostrophic flow Phys. Fluids 6 1994 9 11
10. P. Constantin, A.J. Majda, and E.G. Tabak Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar Nonlinearity 7 1994 1495 1533
11. A. Códorba, and D. Códorba A maximum principle applied to quasi-geostrophic equations Comm. Math. Phys. 249 2004 511 528
12. G.L. Eyink, Machanisms and foundations of the dual cascade picture of 2D turbulence, in: The American Institute of Mathematical Sciences Fifth International Conference on Dynamical Systems and Differential Equations, California State Polytechnic University, Pomona, 2004
13. G. Eyink Exact results on stationary turbulence in 2d: consequences of vorticity conservation Physica D 91 1996 97 142
14. R. Fjørtoft On the changes in spectral distribution of kinetic energy for twodimensional, nondivergent flow Tellus 5 1953 225 230
15. A. Hasegawa, and K. Mima Pseudo-three-dimensional turbulence in magnetized nonuniform plasma Phys. Fluids 21 1978 87 92
16. A. Hasegawa, C.G. Maclennan, and Y. Kodama Nonlinear behavior and turbulence spectra of drift waves and Rossby waves Phys. Fluids 22 1979 2122 2129
17. I.M. Held, R.T. Pierrehumbert, S.T. Garner, and K.L. Swanson Surface quasigeostrophic dynamics J. Fluid Mech. 282 1995 1 20
18. R.H. Kraichnan Inertial ranges in two-dimensional turbulence Phys. Fluids 10 1967 1417 1423
19. R.H. Kraichnan Inertial-range transfer in two- and three-dimensional turbulence J. Fluid Mech. 47 1971 525 535
20. S.B. Kuksin The Eulerian limit for 2D statistical hydrodynamics J. Statist. Phys. 115 2004 469 492
21. C.E. Leith Diffusion approximation for two-dimensional turbulence Phys. Fluids 11 1968 671 673
22. A.J. Majda, and E.G. Tabak A two-dimensional model for quasigeostrophic flow: comparison with two-dimensional Euler flow Physica D 98 1996 515 522
23. K. Ohkitani, and M. Yamada Inviscid and inviscid-limit behavior of a surface quasigeostrophic flow Phys. Fluids 9 1997 876 882
24. J. Pedlosky Geophysical Fluid Dynamics 2nd edition 1987 Springer New York
25. R.T. Pierrehumbert, I.M. Held, and K.L. Swanson Spectra of local and nonlocal two-dimensional turbulence Chaos Solitons Fractals 4 1994 1111 1116
26. P.B. Rhines Geostrophic turbulence Ann. Rev. Fluid Mech. 11 1979 401 441
27. K.S. Smith, G. Boccaletti, C.C. Henning, I. Marinov, C.Y. Tam, I.M. Held, and G.K. Vallis Turbulent diffusion in the geostrophic inverse cascade J. Fluid Mech. 469 2002 13 48
28. C.V. Tran Nonlinear transfer and spectral distribution of energy in α turbulence Physica D 191 2004 137 155
29. C.V. Tran, and J.C. Bowman Large-scale energy spectra in surface quasi-geostrophic turbulence J. Fluid Mech. 526 2005 349 359
30. C.V. Tran, and J.C. Bowman Robustness of the inverse cascade in two-dimensional turbulence Phys. Rev. E 69 2004 036303
31. C.V. Tran, and J.C. Bowman On the dual cascade in two-dimensional turbulence Physica D 176 2003 242 255
32. C.V. Tran, and J.C. Bowman Energy budgets in Charney-Hasegawa-Mima and surface quasigeostrophic turbulence Phys. Rev. E 68 2003 036304
33. C.V. Tran, and T.G. Shepherd Constraints on the spectral distribution of energy and enstrophy dissipation in forced two-dimensional turbulence Physica D 165 2002 199 212
34. C.V. Tran, T.G. Shepherd, and H.-R. Cho Extensivity of two-dimensional turbulence Physica D 192 2004 187 195