The vortices of homogeneous geostrophic turbulence

Journal of Fluid Mechanics

Volumn 401, Issue , 1999, Pages 1-26

  McWilliams, James C ^a   Weiss, Jeffrey B ^b   Yavneh, Irad ^c  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSITY OF COLORADO   (United States)

^c TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002493253     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112099006382     Document Type: Article

References (42)

1. ARAKAWA, A. & SCHUBERT, W. H. 1974 Interaction of a cumulus cloud ensemble with a large-scale environment. Part I. J. Atmos. Sci. 31, 674-701.
2. BENZI, R., PATERNELLO, S. & SANTANGELO, P. 1986 On the statistical properties of decaying turbulence. Europhys. Lett. 3, 811-818.
3. BENZI, R., COLELLA, M., BRISCOLINI, M. & SANTANGELO, P. 1992 A simple point-vortex model for two-dimensional decaying turbulence. Phys. Fluids A 4, 1036-1039.
4. BOER, G. J. & SHEPHERD, T. G. 1983 Large-scale two-dimensional turbulence in the atmosphere. J. Atmos. Sci. 40, 164-184.
5. BORUE, V. 1994 Inverse energy cascade in stationary two-dimensional homogeneous turbulence. Phys. Rev. Lett. 72, 1475-1478.
6. BRACCO A., MURANTE, G., PROVENZALE, A. P., MCWILLIAMS, J. C. & WEISS, J. B. 1999 Revisiting two-dimensional turbulence at modem resolution. Preprint.
7. CARNEVALE, G. F., MCWILLIAMS, J. C., POMEAU, Y., WEISS, J. B. & YOUNG, W. R. 1991 Evolution of vortex statistics in two-dimensional turbulence. Phys. Rev. Lett. 66, 2735-2737.
8. CHARNEY, J. 1971 Geostrophic turbulence. J. Atmos. Sci. 28, 1087-1095.
9. CHORIN, A. J. 1994 Vorticity and Turbulence. Springer.
10. CLYNE, J., SCHEITLIN, T. & WEISS, J. B. 1998 Volume visualizing high-resolution turbulence computations. Theor. Comput. Fluid Dyn. 11, 195-211.
11. DRITSCHEL, D. G., TORRE JUÁREZ, M. DE LA & AMBAUM, M. H. P. 1999 The three-dimensional vortical nature of atmospheric and oceanic turbulent flows. Phys. Fluids 11, 1512-1520.
12. FAROE, M. & PHILIPOVITCH, T. 1993 Coherent structure analysis and extraction using wavelets. In Progress in Wavelet Analysis and Applications (ed. Y. Meyer & S. Roques), pp. 477-481. Editions Frontières, Paris.
13. FU, L.-L. 1983 On the wavenumber spectrum of oceanic mesoscale variability observed by the SEASAT altimeter. J. Geophys. Res. 88, 4331-4341.
14. HERRING, J. 1980 Statistical theory of quasigeostrophic turbulence. J. Atmos. Sci. 37, 969-977.
15. HARDENBERG, J. VON, MCWILLIAMS, J. C., PROVENZALE, A., SHCHEPETKIN, A. & WEISS, J. B. 1999 Vortex merging in quasigeostrophic flows. J. Fluid Mech. (submitted).
16. HUA, B. L. & HAIDVOGEL, D. B. 1986 Numerical simulations of the vertical structure of quasigeostrophic turbulence. J. Atmos. Sci. 43, 2923-2936.
17. HUA, B. L. & KLEIN, P. 1998 An exact criterion for the stirring properties of nearly two-dimensional turbulence. Physica D 113, 98-100.
18. HUA, B. L., MCWILLIAMS, J. C. & P. KLEIN, P. 1998 Lagrangian acceleration and dispersion in geostrophic turbulence. J. Fluid Mech. 386, 87-108.
19. JEONG, J. & HUSSAIN, F. 1995 On the identification of a vortex. J. Fluid Mech. 285, 69-94.
20. MCWILLIAMS, J. C. 1989 Statistical properties of decaying geostrophic turbulence. J. Fluid Mech. 198, 361-385.
21. MCWILLIAMS, J. C. 1990a The vortices of two-dimensional turbulence. J. Fluid Mech. 219, 361-385.
22. MCWILLIAMS, J. C. 1990b The vortices of geostrophic turbulence. J. Fluid Mech. 219, 387-404.
23. MCWILLIAMS, J. C., WEISS, J. B. & YAVNEH, I. 1994 Anisotropy and coherent vortex structures in planetary turbulence. Science 264, 410-413 (referred to herein as MWY94).
24. METAIS, O., RILEY, J. J. & LESIEUR, M. 1994 Numerical simulations of stably stratified rotating turbulence. In Stably Stratified Flows: Flow and Dispersion over Topography (ed. I. P. Castro & M. J. Rockwell), pp. 139-151. Clarendon.
25. METAIS, O., BARTELLO, P., GARNIER, E., RILEY, J. J. & LESIEUR, M. 1996 Inverse cascade in stably stratified rotating turbulence. Dyn. Atmos. Oceans 23, 193-203.
26. NASTROM, G. D. & GAGE, K. S. 1985 A climatology of atmospheric wavenumber spectra of wind and temperature observed by commercial aircraft. J. Atmos. Sci. 42, 950-960.
27. OHKITANI, K. 1991 Wavenumber space dynamics of enstrophy cascade in a forced two-dimensional turbulence. Phys. Fluids A 3, 1598-1611.
28. POLVANI, L. M. 1991 Two-layer geostrophic dynamics. Part 2. Alignment and two-layer V-states. J. Fluid Mech. 225, 241-270.
29. RHINES, P. B. 1979 Geostrophic turbulence. Ann. Rev. Fluid Mech. 11, 401-411.
30. RICCARDI, G., PIVA, R. & BENZI, R. 1995 A physical model for merging in two-dimensional decaying turbulence. Phys. Fluids 7, 3091-3104.
31. SALMON, R. 1982 Geostrophic turbulence. Topics in Ocean Physics, LXXX Corso', pp. 30-78. Soc. Italiana di Fisica, Bologna.
32. SANTANGELO P., BENZI, R. & LEGRAS, B. 1989 The generation of vortices in high-resolution two-dimensional decaying turbulence and the influence of initial conditions on the breaking of self-similarity. Phys. Fluids A 1, 1027-1034.
33. SHCHEPETKIN, A. & MCWILLIAMS, J. C. 1998 Quasi-monotone advection schemes based on explicit locally adaptive dissipation. Mon. Weath. Rev. 126, 1541-1580.
34. SIEGEL, A. & WEISS, J. B. 1997 A wavelet-packet census algorithm for calculating vortex statistics. Phys. Fluids 9, 1988-1999.
35. STAMMER, D. 1997 Regional characteristics of ocean variability estimated from global TOPEX/POSEIDON altimeter measurements. J. Phys. Oceanogr. 27, 1743-1769.
36. SUTYRIN, G. G., MCWILLIAMS, J. C. & SARAVANAN, R. 1998 Co-rotating stationary states and vertical alignment of geostrophic vortices with thin cores. J. Fluid Mech. 357, 321-349.
37. VERRON, J., HOPFINGER, E. & MCWILLIAMS, J. C. 1990 Sensitivity to initial conditions in the merging of two-layer baroclinic vortices. Phys. Fluids A 2, 886-889.
38. VIERA, F. 1995 On the alignment and axisymmetrization of a vertically tilted geostrophic vortex. J. Fluid Mech. 289, 29-50.
39. WEISS, J. 1991 The dynamics of enstrophy transfer in two-dimensional hydrodynamics. Physica D 48, 273-294.
40. WEISS, J. B. & MCWILLIAMS, J. C. 1993 Temporal scaling behaviour of decaying two-dimensional turbulence. Phys. Fluids A 5, 608-621.
41. WEISS, J. B. 1999 Punctuated Hamiltonian models of structured turbulence. In Semi-Analytic Methods for the Navier-Stokes Equations (Montreal Canada, 1995) (ed. K. Coughlin). CRM Proc. Lecture Notes, Vol. 20, pp. 109-119. Am. Math. Soc., Providence, RI (in press).
42. YAVNEH, I. & MCWILLIAMS, J. C. 1996 Multigrid solution of stably stratified flows: the quasigeostrophic equations. J. Sci. Comput. 11, 47-69.