Optimal perturbations in the Eady model: Resonance versus PV unshielding

Journal of the Atmospheric Sciences

Volumn 62, Issue 2, 2005, Pages 492-505

  de Vries, H ^a   Opsteegh, J D ^b  

^a UTRECHT UNIVERSITY   (Netherlands)

^b ROYAL NETHERLANDS METEOROLOGICAL INSTITUTE KNMI   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

ATMOSPHERIC MOVEMENTS; KINETIC ENERGY; OPTIMIZATION; PERTURBATION TECHNIQUES; SURFACE WAVES; VECTORS; VORTEX FLOW;

CONTINUUM MODES (CM); POTENTIAL TEMPERATURES (PT); POTENTIAL VORTICITY (PV); SIGULAR VECTOR (SV);

RESONANCE;

MODEL; POTENTIAL VORTICITY;

DECOMPOSITION ANALYSIS; MODELING; PERTURBATION; POTENTIAL VORTICITY;

EID: 14744305452     PISSN: 00224928     EISSN: None     Source Type: Journal    
DOI: 10.1175/JAS-3395.1     Document Type: Article

References (21)

1. Badger, J., and B. J. Hoskins, 2001: Simple initial value problems and mechanisms for baroclinic growth. J. Atmos. Sci., 58, 38-49.
2. Bishop, C. H., and E. Heifetz, 2000: Apparent absolute instability and the continuous spectrum. J. Atmos. Sci., 57, 3592-3608.
3. Borges, M. D., and D. L. Hartmann, 1992: Barotropic instability and optimal perturbations of observed nonzonal flows. J. Atmos. Sci., 49, 335-353.
4. Chang, E. K. M., 1992: Resonating neutral modes of the Eady model. J. Atmos. Sci., 49, 2452-2463.
5. Davies, H. C., and C. H. Bishop, 1994: Eady edge waves and rapid development. J. Atmos. Sci., 51, 1930-1946.
6. Eady, E. T., 1949: Long waves and cyclone waves. Tellus, 1, 33-52.
7. Farrell, B. F., 1982: The initial growth of disturbances in a baroclinic flow. J. Atmos. Sci., 39, 1663-1686.
8. Farrell, B. F., 1984: Modal and non-modal baroclinic waves. J. Atmos. Sci., 41, 668-673.
9. Farrell, B. F., 1988: Optimal excitation of neutral Rossby waves. J. Atmos. Sci., 45, 163-172.
10. Farrell, B. F., 1989: Optimal excitation of baroclinic waves. J. Atmos. Sci., 46, 1193-1206.
11. Fischer, C., 1998: Linear amplification and error growth in the 2D Eady problem with uniform potential vorticity. J. Atmos. Sci., 55, 3363-3380.
12. Hakim, G. J., 2000: Role of nonmodal growth and nonlinearity in cyclogenesis initial-value problems. J. Atmos. Sci., 57, 2951-2967.
13. Hoskins, B. J., M. E. McIntyre, and A. W. Robertson, 1985: On the use and significance of isentropic potential vorticity maps. Quart. J. Roy. Meteor. Soc., 111, 877-946.
14. Kim, H. M., and M. C. Morgan, 2002: Dependence of singular vector structure and evolution on the choice of norm. J. Atmos. Sci., 59, 3099-3116.
15. Morgan, M. C., 2001: A potential vorticity and wave activity diagnosis of optimal perturbation evolution. J. Atmos. Sci., 58, 2518-2544.
16. Morgan, M. C., and C. C. Chen, 2002: Diagnosis of optimal perturbation evolution in the Eady model. J. Atmos. Sci., 59, 169-185.
17. Mukougawa, H., and T. Ikeda, 1994: Optimal excitation of baroclinic waves in the Eady model. J. Meteor. Soc. Japan, 72, 499-513.
18. Orr, W., 1907: Stability or instability of the steady-motions of a perfect liquid. Proc. Roy. Irish Acad., 27, 9-138.
19. Pedlosky, J., 1964: An initial value problem in the theory of baroclinic instability. Tellus, 16, 12-17.
20. Rotunno, R., and M. Fantini, 1989: Petterssen's "Type B" cyclogenesis in terms of discrete, neutral Eady modes. J. Atmos. Sci., 46, 3599-3604.
21. Thorncroft, C. D., and B. J. Hoskins, 1990: Frontal cyclogenesis. J. Atmos. Sci., 47, 2317-2336.