Interaction of large-scale equatorial waves and dispersion of kelvin waves through topographic resonances

Journal of the Atmospheric Sciences

Volumn 56, Issue 24, 1999, Pages 4118-4133

  Majda, Andrew J ^a   Rosales, Rodolfo R ^b   Tabak, Esteban G ^a   Turner, Cristina V ^c  

^a NEW YORK UNIVERSITY   (United States)

^b MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

^c UNIVERSITY OF CÓRDOBA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EQUATIONS OF MOTION; TROPOSPHERE;

KELVIN WAVES; LARGE-SCALE EQUATORIAL WAVES;

ATMOSPHERIC MOVEMENTS;

EQUATORIAL WAVE; KELVIN WAVE; TOPOGRAPHY;

EID: 0033573399     PISSN: 00224928     EISSN: None     Source Type: Journal    
DOI: 10.1175/1520-0469(1999)056<4118:IOLSEW>2.0.CO;2     Document Type: Article

References (25)

1. Andrews, P. G., J. Holton, and C. Leovy, 1987: Middle Atmosphere Dynamics. International Geophysics Series, Vol. 40, Academic Press, 489 pp.
2. Boyd, J. P., 1980: The nonlinear equatorial Kelvin wave. J. Phys. Oceanogr., 10, 1-11.
3. Celentano, C., 1995: Finite amplitude resonant acoustic waves with-out shocks. Ph.D. thesis, Massachusetts Institute of Technology, 198 pp.
4. Emanuel, K., 1987: An air-sea interaction model of intraseasonal oscillations in the Tropics. J. Atmos. Sei., 44, 2324-2340.
5. Gill, A. E., 1982: Atmosphere-Ocean Dynamics. Academic Press.
6. Goswami, P., and B. N. Goswami, 1991: Modification of n = 0 equatorial waves due to interaction between convection and dynamics. J. Atmos. Sei., 48, 2231-2244.
7. Kasahara, A., and K. Puri, 1981: Spectral representation of three-dimensional global data by expansion in normal mode functions. Mon. \Vea. Rev., 15, 1407-1436.
8. Madden, R. A., and P. Julian, 1972: Description of global-scale circulation cells in the Tropics with a 40-50-day period. J. Atmos. Sei., 29, 1109-1123.
9. _, and _, 1994: Observations of the 40-50-day tropical oscillation-A review. Mon. Wea. Rev., 122, 814-836.
10. Majda, A., and R. Resales, 1984: Resonantly interacting weakly nonlinear hyperbolic waves. Park I: A single space variable. Studies Appl. Math., 75, 117-148.
11. _, _, and M. Schonbek, 1988: A canonical system ofintegrodifferential equations arising in resonant nonlinear acoustics. Studies Appl Math., 79, 205-262.
12. _, M. Shefter, and E. Tabak, 1999: The nonlinear response to Gill forcing in the Tropics. Extended Abstracts, 12th Conf. on Atmosphere-Ocean Fluid Dynamics, New York, NY, Amer. Meteor. Soc., 161-162.
13. Milliff, R. F, and R. Madden, 1996: The existence and vertical structure of fast, eastward-moving disturbances in the equatorial troposphere. J. Atmos. Sei., 53, 586-597.
14. Neelin, D. J., and N. Zeng, 1997: The simplest quasi-equilibrium tropical circulation model-formulation. Extended Abstracts, Seventh Conf. on Climate Variations, Long Beach, ÇA, Amer. Meteor. Soc., 4-7.
15. _, and J. Yu, 1994: Modes of tropical variability under convective adjustment and the Madden-Julian oscillation. Part I: Analytical theory. J. Almos. Sei., 51, 1876-1894.
16. _, I. Held, and K. Cook, 1987: Evaporation-wind feedback and low-frequency variability in the tropical atmosphere. J. Almos. Sei., 44, 2341-2348.
17. Ripa, P., 1982: Nonlinear wave-wave interactions in a one-layer reduced-gravity model on the equatorial plane. J. Phys. Oceanogr., 12,97-111.
18. _, 1983a: Weak interaction of equatorial waves in a one-layer model. Part I: General properties. J. Phys. Oceanogr., 13, 1208-1226.
19. _, 1983b: Weak interaction of equatorial waves in a one-layer model. Part II: Applications./ Phys. Oceanogr., 13,1227-1240.
20. Shefter, M., 1997: Never breaking quasi-periodic solutions of weakly nonlinear gas dynamics. Ph.D. thesis, Massachusetts Institute of Technology, 109 pp.
21. Strang, G., 1968: On the construction and comparison of difference schemes. S1AM J. Num. Anal., 5, 506-517.
22. Takahashi, M., and B. A. Boville, 1992: Three-dimensional simulation of the equatorial quasi-biennial oscillation. J. Almos. Sei., 49, 1020-1035.
23. Vaynblat, D., 1996: The strongly attracting character of large amplitude nonlinear resonant acoustic waves without shocks. A numerical study. Ph.D. thesis, Massachusetts Institute of Technology, 136 pp.
24. Wang, G., and Y. Xue, 1992: Behavior of a moist Kelvin wave packet with nonlinear heating. J. Annas. Sei., 49, 549-559.
25. Yano, J., J. McWilliams, M. Moncrieff, and K. Emanuel, I995: Hierarchical tropical cloud systems in an analog shallow-water model. J. Almos. Sei., 52, 1723-1742.