A mechanism for the barotropic equilibration of baroclinic waves

Journal of the Atmospheric Sciences

Volumn 55, Issue 18, 1998, Pages 2918-2936

  Frisius, Thomas ^a  

^a UNIVERSITY OF HAMBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ATMOSPHERIC MOTION; ATMOSPHERIC PRESSURE; BAROCLINIC WAVE; BAROTROPIC INSTABILITY; MODELING;

EID: 0032470121     PISSN: 00224928     EISSN: None     Source Type: Journal    
DOI: 10.1175/1520-0469(1998)055<2918:AMFTBE>2.0.CO;2     Document Type: Article

References (38)

1. Barnes, J. R., and R. E. Young, 1992: Nonlinear baroclinic instability on the sphere: Multiple life cycles with surface drag and thermal damping. J. Atmos. Sci., 49, 861-878.
2. Boville, B. A., 1980: Amplitude vacillation on an f-plane. J. Atmos. Sci., 37, 1413-1423.
3. _, 1981: Amplitude vacillation on a β-plane. J. Atmos. Sci., 38, 609-618.
4. Charney, J. G., 1947: The dynamics of long waves in a baroclinic westerly current. J. Meteor., 4, 135-162.
5. Davies, H. C., C. Schär, and H. Wernli, 1991: The palette of fronts and cyclones within a baroclinic wave develpment. J. Atmos. Sci., 48, 1666-1689.
6. Eady, E. T., 1949: Long waves and cyclone waves. Tellus. 1, 33-52.
7. Edmon, H. J., B. J. Hoskins, and M. E. McIntyre, 1980: Eliassen-Palm cross sections for the troposphere. J. Atmos. Sci., 37, 2600-2616.
8. Farrell, B. F., 1989: Optimal excitation of baroclinic waves. J. Atmos. Sci., 46, 193-1206.
9. Feldstein, S. B., and I. M. Held, 1989: Barotropic decay of baroclinic waves in a two-layer beta-plane model. J. Atmos. Sci., 46, 3416-3430.
10. Fjørtoft, R., 1953: On the changes in the spectral distribution of kinetic energy for two-dimensional, nondivergent flow. Tellus. 5, 225-230.
11. Gill, A. E., 1974: The stability of planetary waves on an infinite beta-plane. Geophys. Fluid Dyn., 6, 29-47.
12. Grotjahn, R., 1984: Baroclinic instability in a long wave environment. Part I: Review. Quart. J. Roy. Meteor. Soc., 110, 663-668.
13. Hart, J. E., 1972: A laboratory study of baroclinic instability. Geophys. Fluid Dyn., 3, 181-209.
14. _, 1981: Wavenumber selection in nonlinear baroclinic instability. J. Atmos. Sci., 38, 400-408.
15. Haynes, P. H., and M. E. McIntyre, 1987: On the representation of Rossby wave critical layers and wave breaking in zonally truncated models. J. Atmos. Sci., 44, 2359-2382.
16. Hoskins, B. J., 1973: Stability of the Rossby-Haurwitz wave. Quart, J. Roy. Meteor. Soc., 99, 723-745.
17. _, 1983: Modelling of the transient eddies and their feedback the mean flow. Large-Scale Dynamical Processes in the Atmosphere, B. J. Hoskins and R. P. Pearce, Eds., Academic Press, 169-199.
18. _, and A. Hollingworth, 1973: On the simplest example of the barotropic instability of Rossby wave motion. J Atmos. Sci., 30, 150-153.
19. Howard, L. N., and R. Krishnamurti, 1986: Large-scale flow in turbulent convection: A mathematical model. J. Fluid Mech., 170, 385-410
20. James, I. N., and L. J. Gray, 1986: Concerning the effect of surface drag on the circulation of a baroclinic planetary atmosphere, Quart. J. Roy. Meteor. Soc., 112, 1231-1250.
21. Klein, P., and J. Pedlosky, 1986: A numerical study of baroclinic instability at large supercriticality. J. Atmos. Sci., 43, 1243-1262.
22. Krishnamurti, R., and L. N. Howard, 1981: Large-scale flow generation in turbulent covection. Proc. Natl. Acad. Sci. USA, 78, 1981-1985.
23. Kuo, H. L., 1973: Dynamics of quasigeostrophic flows and instability theory. Adv. Appl. Mech., 13, 247-330.
24. Lorenz, E. N., 1972: Barotropic instability of Rossby wave motion. J. Atmos. Sci., 29, 258-264.
25. Mak, M., 1985: Equlibration in nonlinear baroclinic instability. J. Atmos. Sci., 42, 2764-2782.
26. Mundt, M. D. and J. E. Hart, 1994: Secondary instability. EOF reduction, and the transition to baroclinic chaos. Physica D, 78, 65-92.
27. Nakamura, N., 1993: Momentum flux, flow symmetry, and the nonlinear barotropic governor. J. Atmos. Sci., 50, 2159-2179.
28. _, and I. M. Held, 1989: Nonlinear equlibration of two-dimensional Eady waves. J. Atmos. Sci., 46, 3055-3064.
29. Pedlosky, J., 1970: Finite-amplitude baroclinic waves. J. Atmos. Sci., 27, 15-30.
30. Pfeffer, R. L., G. Buzyna, and R. Kung. 1980: Time-dependent modes of behavior of thermally driven rotating fluids. J. Atmos. Sci., 37, 2129-2149.
31. Phillips, N. A., 1951: A simple three-dimensional model for the study of large-scale extratropical flow patterns. J. Meteor., 8, 381-394.
32. _, 1954: Energy transformations and meridional circulations associated with simple baroclinic waves in a two-level, quasi-geostrophic model. Tellus, 6, 273-286.
33. Randel, W. J., and J. L. Standford, 1985: The observed life cycle of a baroclinic instability. J. Atmos. Sci., 42, 1364-1373.
34. Reinhold, B., 1986: Structural determinism of linear baroclinic waves and simple nonlinear equilibration. J. Atmos. Sci., 43, 1484-1504.
35. Rosenbluth, M. N., and V. D. Shapiro, 1994: Analytical model of the "tilting" instability. Phys. Plasmas, 7, 222-224.
36. Simmons, A. J., and B. J. Hoskins, 1978: The life cycles of some nonliear baroclinic waves. J. Atmos. Sci., 35, 414-432.
37. Soloviev, G. L, V. D. Shapiro, R. C. J. Somerville, and B. Shakoller, 1996: The tilting instability with buoyant forcing in a two-dimensional viscous fluid. J. Atmos. Sci., 53, 2671-2684.
38. Williams, G. P., 1979: Planetary circulations: 3. the terrestrial quasigeostrophic regime. J. Atmos. Sci., 36, 1409-1435.