Numerical experiments on the behavior of Rossby waves in the critical layer

Fluid Dynamics Research

Volumn 26, Issue 4, 2000, Pages 257-279

  Enomoto, Takeshi ^a   Matsuda, Yoshihisa ^a  

^a UNIVERSITY OF TOKYO   (Japan)

Author keywords

Critical latitude; Critical layer; Kelvin cat's eye; Rossby waves; SWW solution; Wave breaking; Wave reflection

Indexed keywords

FLOW INTERACTIONS; INTEGRAL EQUATIONS; MATHEMATICAL MODELS; NUMERICAL ANALYSIS; SPHERES;

BAROTROPIC VORTICITY EQUATION; CRITICAL LATITUDE; CRITICAL LAYER; KELVINS CAT EYE; ROSSBY WAVES; STEWARTSON-WARN-WARN SOLUTION; WAVE BREAKING; WAVE REFLECTION;

VORTEX FLOW;

ROSSBY WAVE; WAVE BREAKING; WAVE REFLECTION;

ROSSBY WAVE; WAVE BREAKING; WAVE REFLECTION;

EID: 0034176518     PISSN: 01695983     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0169-5983(99)00028-3     Document Type: Article

References (23)

1. Andrews, D.G., Holton, J.R., Leovy, C.B., 1987. Middle Atmosphere Dynamics. Academic Press, New York, 489 pp.
2. Béland, M., 1976. Numerical study of the nonlinear Rossby wave critical level development in a barotropic zonal flow. J. Atmos. Sci. 33, 2066-2078.
3. Béland, M., 1978. The Evolution of a nonlinear Rossby wave critical level: effects of viscosity. J. Atmos. Sci. 35, 1802-1815.
4. Brunet, G., Haynes, P.H., 1996. Low-latitude reflection of Rossby wave trains. J. Atmos. Sci. 53, 482-496.
5. Chen, P., 1996. The influences of zonal flow on wave breaking and tropical-extratropical interaction in the lower stratosphere. J. Atmos. Sci. 53, 2379-2392.
6. Dickinson, R.E., 1968. Planetary Rossby waves propagating vertically through weak westerly wind wave guides. J. Atmos. Sci. 25, 73-81.
7. Dickinson, R.E., 1970. Development of a Rossby wave critical level. J. Atmos. Sci. 27, 627-633.
8. Dunkerton, T., Hsu, C.-P.F., McIntyre, M.E., 1981. Some Eulerian and Lagragian diagnostics for a model stratospheric warming. J. Atmos. Sci. 38, 819-843.
9. Enomoto, T., Matsuda, Y. 1999. Rossby wavepacket propagation in a zonally-varying basic flow. Tellus, in press.
10. Haynes, P.H., 1985. Nonlinear instability of a Rossby-wave critical layer. J. Fluid Mech. 161, 493-511.
11. Haynes, P.H., 1989. The effect of barotropic instability on the nonlinear evolution of a Rossby-wave critical layer. J. Fluid Mech. 207, 231-266.
12. Haynes, P.H., McIntyre, M.E., 1987. On the representation of Rossby wave critical layers and wave breaking in zonally truncated models. J. Atmos. Sci. 44, 2359-2382.
13. Killworth, P.D., McIntyre, M.E., 1985. Do Rossby-wave critical layers absorb, reflect or overreflect? J. Fluid Mech. 161, 449-492.
14. McIntyre, M.E., Palmer, T.N., 1983. Breaking planetary waves in the stratosphere. Nature 305, 593-600.
15. McIntyre, M.E., Palmer, T.N., 1984. The 'surf zone' in the stratosphere. J. Atmos. Terr. Phys. 46, 825-849.
16. Molteni, F., Tibaldi, S., Palmer, T.N., 1990. Regimes in the wintertime circulation over northern extratropics. I: Observational evidence. Quart. J. Roy. Meteor. Soc. 116, 31-67.
17. Nakamura, M., Plumb, R.A., 1994. The effects of flow asymmetry on the direction of Rossby wave breaking. J. Atmos. Sci. 51, 2031-2045.
18. Nigam, S., 1985. On the adequacy of meridional resolution of linear and quasi-linear barotropic models. J. Atmos. Sci. 42, 2493-2505.
19. Stewartson, K., 1978. The evolution of the critical layer of a Rossby wave. Geophys. Fluid Dyn. 9, 185-200.
20. Warn, T., Warn, H., 1976. On the development of a Rossby wave critical level. J. Atmos. Sci. 33, 2021-2024.
21. Warn, T., Warn, H., 1978. The evolution of a nonlinear Rossby wave critical level. Stud. Appl. Math. 59, 37-71.
22. Waugh, D.W., Polvani, L.M., Plumb, R.A., 1994. Nonlinear, barotropic response to a localized topographic forcing: formation of a tropical surf zone and its effect on interhemispheric propagation. J. Atmos. Sci. 51, 1401-1416.
23. Yoden, S., Yamada, M., Ishioka, K.K., 1990. Numerical solution program for fluid on a sphere with a spectral transform method (in Japanese). Report of Computer Center, Kyoto University 23, 283-290.