On the group-velocity property for wave-activity conservation laws

Journal of the Atmospheric Sciences

Volumn 55, Issue 6, 1998, Pages 1063-1068

  Vanneste, J ^a   Shepherd, T G ^a  

^a UNIVERSITY OF TORONTO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

FLUID DYNAMICS; WAVE ACTIVITY CONSERVATION LAW;

EID: 0031806674     PISSN: 00224928     EISSN: None     Source Type: Journal    
DOI: 10.1175/1520-0469(1998)055<1063:OTGVPF>2.0.CO;2     Document Type: Article

References (15)

1. Brunet, G., 1994: Empirical normal mode analysis of atmospheric data. J. Atmos. Sci., 51, 932-952.
2. _, and P. H. Haynes, 1996: Low-latitude reflection of Rossby wave trains. J. Atmos. Sci., 53, 482-496.
3. Durran, D. R., 1995: Pseudomomentum diagnostics for two-dimensional stratified compressible flows. J. Atmos. Sci., 52, 3997-4009.
4. Hayes, M., 1977: A note on group-velocity. Proc. Roy. Soc. London, Ser. A, 354, 533-535.
5. Haynes, P. H., 1988: Forced, dissipative generalizations of finite-amplitude wave-activity conservation relations for zonal and nonzonal basic flows. J. Atmos. Sci., 45, 2352-2362.
6. Magnusdottir, G., and P. H. Haynes, 1996: Wave activity diagnostics applied to baroclinic life cycles. J. Atmos. Sci., 53, 2317-2353.
7. McIntyre, M. E., and T. G. Shepherd, 1987: An exact local conservation theorem for finite-amplitude disturbances to non-parallel shear flows, with remarks on Hamiltonian structure and on Arnol'd's stability theorems. J. Fluid Mech., 181, 527-565.
8. Olver, P. J., 1993: Application of Lie Groups to Differential Equations. Springer-Verlag, 513 pp.
9. Pedlosky, J., 1987: Geophysical Fluid Dynamics. Springer-Verlag, 710 pp.
10. Plumb, R. A., 1985: On the three-dimensional propagation of stationary waves. J. Atmos. Sci., 42, 217-229.
11. Scinocca, J. E. and T. G. Shepherd, 1992: Nonlinear wave-activity conservation laws and Hamiltonian structure for the two-dimensional anelastic equations. J. Atmos. Sci., 49, 5-25.
12. _, and W. R. Peltier, 1994a: Finite-amplitude wave-activity diagnostics for Long's stationary solution. J. Atmos. Sci., 51, 613-622.
13. _, and _, 1994b: The instability of Long's stationary solution and the evolution toward severe downslope windstorm flow. Part II: The application of finite-amplitude local wave-activity flow diagnostics. J. Atmos. Sci., 51, 623-653.
14. Shepherd, T. G., 1990: Symmetries, conservation laws, and Hamiltonian structure in geophysical fluid dynamics. Advances in Geophysics, Vol. 32, Academic Press, 287-338.
15. Vanneste, J., 1997: On the derivation of fluxes for conservation laws in Hamiltonian systems. I.M.A. J. Appl. Math., in press.