Rossby waves and jets in two-dimensional decaying turbulence on a rotating sphere

Journal of the Atmospheric Sciences

Volumn 64, Issue 12, 2007, Pages 4246-4269

  Hayashi, Yoshi Yuki ^a,b   Nishizawa, Seiya ^c   Takehiro, Shin Ichi ^c   Yamada, Michio ^c   Ishioka, Keiichi ^c   Yoden, Shigeo ^c  

^a HOKKAIDO UNIVERSITY   (Japan)

^b KOBE UNIVERSITY   (Japan)

^c KYOTO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ANGULAR MOMENTUM; FLOW PATTERNS; FROUDE NUMBER; JETS;

ROSSBY WAVES; ZONAL MEAN FLOW;

TURBULENCE;

ANGULAR MOMENTUM; FLOW PATTERNS; FROUDE NUMBER; JETS; TURBULENCE;

ANGULAR MOMENTUM; FROUDE NUMBER; JET; ROSSBY WAVE; TURBULENCE; WAVE GENERATION; WAVE PROPAGATION; ZONAL FLOW;

EID: 37349045165     PISSN: 00224928     EISSN: None     Source Type: Journal    
DOI: 10.1175/2007JAS2209.1     Document Type: Article

References (52)

1. Balk, A. M., 2005: Angular distribution of Rossby wave energy. Phys. Lett. A, 345, 154-160.
2. Busse, F. H., 1983a: A model of mean zonal flows in the major planets. Geophys. Astrophys. Fluid Dyn., 23, 153-174.
3. Busse, F. H., 1983b: Convection-driven zonal flows in the major planets. Pure Appl. Geophys., 12l, 375-390.
4. Cho, J. Y.-K., and L. M. Polvani, 1996: The emergence of jets and vortices in freely evolving, shallow-water turbulence on a sphere. Phys. Fluids, 8, 1531-1552.
5. Christensen, U. R., 2001: Zonal flow driven by deep convection in the major planets. Geophys. Res. Lett., 28, 2553-2556.
6. Dunkerton, T., and R. K. Scott, 2008: A barotropic model of the angular momentum conserving potential vorticity staircase in spherical geometry. J. Atmos. Sci., in press.
7. Galperin, B., H. Nakano, H.-P. Huang, and S. Sukoriansky, 2004: The ubiquitous zonal jets in the atmospheres of giant planets and earth's oceans. Geophys. Res. Lett., 31, L13303, doi:10.1029/ 2004GL019691.
8. Grose, W. L., and B. J. Hoskins, 1979: On the influence of orography on large-scale atmospheric flow. J. Atmos. Sci., 36, 223-234.
9. Hayashi, Y.-Y., 1987: Linear theory of two dimensional steady Rossby waves (in Japanese). Meteor. Res. Note, Meteor. Soc. Japan, 156, 29-48.
10. Hayashi, Y.-Y., and T. Matsuno, 1984: Amplitude of Rossby wavetrains on a sphere. J. Meteor. Soc. Japan, 62, 377-387.
11. Hayashi, Y.-Y., K. Ishioka, M. Yamada, and S. Yoden, 2000: Emergence of circumpolar vortex in 2-D turbulence on a rotating sphere. IUTAM Symposium on Developments in Geophysical Turbulence, R. M. Kerr and Y. Kimura, Eds., Vol. 58, Fluid Mechanics and Its Applications, Kluwer Academic, 179-192.
12. Heimpel, M., J. Aurnou, and J. Wicht, 2005: Simulation of equatorial and high-latitude jets on Jupiter in a deep convection model. Nature, 438, 193-196.
13. Hoskins, B. J., and D. J. Karoly, 1981: The steady linear response of a spherical atmosphere to thermal and orographic forcing. J. Atmos. Sci., 38, 1179-1196.
14. Huang, H.-P., and W. A. Robinson, 1998: Two-dimensional turbulence and persistent zonal jets in a global barotropic model. J. Atmos. Sci., 55, 611-632.
15. Huang, H.-P., B. Galperin, and S. Sukoriansky, 2001: Anisotropic spectra in two-dimensional turbulence on the surface of a rotating sphere. Phys. Fluids, 13, 225-240.
16. Iacono, R., M. V. Struglia, and C. Ronchi, 1999a: Spontaneous formation of equatorial jets in freely decaying shallow water turbulence. Phys. Fluid, 11, 1272-1274.
17. Iacono, R., M. V. Struglia, C. Ronchi, and S. Nicastro, 1999b: High-resolution simulation of freely decaying shallow-water turbulence on a rotating sphere. Nuovo Cimento C, 22, 813-821.
18. Ishioka, K., M. Yamada, Y.-Y. Hayashi, and S. Yoden, 1999: Pattern formation from two-dimensional decaying turbulence on a rotating sphere. Nagare Multimedia 99. [Available online at http://www.nagare.or.jp/mm/99/ ishioka/.]
19. Ishioka, K., M. Yamada, Y.-Y. Hayashi, and S. Yoden, 2000: Technical approach for the design of a high-resolution spectral model on a sphere: Application to decaying turbulence. Nonlinear Processes Geophys., 7, 105-110.
20. Ishioka, K., J. Hasegawa, and S. Yoden, 2007: Asymmetrization mechanism of jet profiles in decaying β-plane turbulence. J. Atmos. Sci., 64, 3354-3361.
21. Kitamura, Y., and K. Ishioka, 2007: Equatorial jets in decaying shallow-water turbulence on a rotating sphere. J. Atmos. Sci., 64, 3340-3353.
22. Manfroi, A. J., and W. R. Young, 1999: Slow evolution of zonal jets on the beta plane. J. Atmos. Sci., 56, 784-800.
23. Maximenko, N. A., B. Bang, and H. Sasaki, 2005: Observational evidence of alternating zonal jets in the World Ocean. Geophys. Res. Lett., 32, L12607, doi:10.1029/2005GL022728.
24. Nakano, H., and H. Hasumi, 2005: A series of zonal jets embedded in the broad zonal flows in the Pacific obtained in eddy-permitting ocean general circulation models. J. Phys. Oceanogr., 35, 474-488.
25. Nozawa, T., and S. Yoden, 1997a: Formation of zonal band structure in forced two-dimensional turbulence on a rotating sphere. Phys. Fluids, 9, 2081-2093.
26. Nozawa, T., and S. Yoden, 1997b: Spectral anisotropy in forced two-dimensional turbulence on a rotating sphere. Phys. Fluids, 9, 3834-3842.
27. Okuno, A., and A. Masuda, 2003: Effect of horizontal divergence on the geostrophic turbulence on a beta-plane: Suppression of the Rhines effect. Phys. Fluids, 15, 56-65.
28. Ollitrault, M., M. Lankhorst, D. Frantantoni, P. Richardson, and W. Zenk, 2006: Zonal intermediate currents in the equatorial Atlantic Ocean. Geophys. Res. Lett., 33, L05605, doi:10.1029/ 2005GL025368.
29. Rhines, P. B., 1975: Waves and turbulence on a beta-plane. J. Fluid Mech., 69, 417-443.
30. Rhines, P. B., 1994: Jets. Chaos, 4, 313-339.
31. Sánchez-Lavega, A., R. Huesoa, S. Pérez-Hoyos, and J. F. Rojas, 2006: A strong vortex in Saturn's South Pole. Icarus, 184, 524-531.
32. Scott, R. K., and L. M. Polvani, 2007: Forced-dissipative shallow-water turbulence on the sphere and the atmospheric circulation of the giant planets. J. Atmos. Sci., 64, 3158-3176.
33. Shepherd, T., 1987: Rossby waves and two-dimensional turbulence in a large-scale zonal jet. J. Fluid Mech., 183, 467-509.
34. Smith, K. S., 2004: A local model for planetary atmospheres forced by small-scale convection. J. Atmos. Sci., 61, 1420-1433.
35. Sukoriansky, S., B. Galperin, and N. Dikovskaya, 2002: Universal spectrum of two-dimensional turbulence on a rotating sphere and some basic features of atmospheric circulation on giant planets. Phys. Rev. Lett., 89, doi:10.1103/PhysRevLett.89. 124501.
36. Takehiro, S., and Y.-Y. Hayashi, 1999: Mean zonal flows excited by critical thermal convection in rotating spherical shells. Geophys. Astrophys. Fluid Dyn., 90, 43-77.
37. Takehiro, S., M. Odaka, K. Ishioka, M. Ishiwatari, Y.-Y. Hayashi, and SPMODEL Development Group, 2006: SPMODEL: A series of hierarchical spectral models for geophyiscal fluid dynamics. Nagare Multimedia 2006. [Available online at http://www.nagare.or.jp/mm/2006/spmodel/.]
38. Takehiro, S., M. Yamada, and Y.-Y. Hayashi, 2007a: Circumpolar jets emerging in two-dimensional non-divergent decaying turbulence on a rapidly rotating sphere. Fluid Dyn. Res., 39, 209-220.
39. Takehiro, S., M. Yamada, and Y.-Y. Hayashi, 2007b: Energy accumulation into easterly circumpolar jets generated by two-dimensional barotropic decaying turbulence on a rapidly rotating sphere. J. Atmos. Sci., 64, 4088-4101.
40. Theiss, J., 2004: Equatorward energy cascade, critical latitude, and the predominance of cyclonic vortices in geostrophic turbulence. J. Phys. Oceanogr., 34, 1663-1678.
41. Theiss, J., 2006: A generalized Rhines effect and storms on Jupiter. Geophys. Res. Lett., 33, L08809, doi:10.1029/2005GL025379.
42. Vallis, G. K., and M. E. Maltrud, 1993: Generation of mean flows and jets on a beta plane and over topography. J. Phys. Oceanogr., 23, 1346-1362.
43. Vasavada, A. R., and A. P. Showman, 2005: Jovian atmospheric dynamics: An update after Galileo and Cassini. Rep. Prog. Phys., 68, 1935-1996.
44. Vasavada, A. R., S. M. Hörst, M. R. Kennedy, A. P. Ingersoll, C. C. Porco, A. D. Del Genio, and R. A. West, 2006: Cassini imaging of Saturn: Southern Hemisphere winds and vortices. J. Geophys. Res., 111, E05004, doi:10.1029/2005JE002563.
45. Watanabe, T., H. Fujisaka, and T. Iwayama, 1997: Dynamic scaling law in the development of drift wave turbulence. Phys. Rev. E, 55, 5575-5580.
46. Waugh, D. W., and D. G. Dritschel, 1991: The stability of filamentary vorticity in two-dimensional geophysical vortex-dynamics models. J. Fluid Mech., 231, 575-598.
47. Williams, G. P., 1978: Planetary circulations: 1. Barotropic representation of Jovian and terrestrial turbulence. J. Atmos. Sci., 35, 1399-1426.
48. Yanase, S., and M. Yamada, 1984: The effect of the finite Rossby radius in two-dimensional isotropic turbulence. J. Phys. Soc. Japan, 53, 2513-2520.
49. Yano, J., O. Talagrand, and P. Drossart, 2005: Deep two-dimensional turbulence: An idealized model for atmospheric jets of the giant outer planets. Geophys. Astrophys. Fluid Dyn., 99, 137-150.
50. Yoden, S., and M. Yamada, 1993: A numerical experiment on two-dimensional decaying turbulence on a rotating sphere. J. Atmos. Sci., b 50, 631-643.
51. Yoden, S., K. Ishioka, Y.-Y. Hayashi, and M. Yamada, 1999: A further experiment on two-dimensional decaying turbulence on a rotating sphere. Il Nuovo Cimento C, 22, 803-812.
52. Yoden, S., K. Ishioka, M. Yamada, and Y.-Y. Hayashi, 2002: Pattern formation in two-dimensional turbulence on a rotating sphere. Statistical Theories and Computational Approaches to Turbulence, Y. Kaneda and T. Gotoh, Eds., Springer-Verlag, 317-326.