Boundary layer dissipation and the nonlinear interaction of equatorial baroclinic and barotropic Rossby waves

Geophysical and Astrophysical Fluid Dynamics

Volumn 98, Issue 2, 2004, Pages 85-127

  Biello, Joseph A ^a   Majda, Andrew J ^a  

^a NEW YORK UNIVERSITY   (United States)

Author keywords

Amplitude equations; Atmospheric boundary layer; Equatorial Rossby waves

Indexed keywords

BOUNDARY LAYERS; COMPUTER SIMULATION; INTEGRATION; MATRIX ALGEBRA; TROPOSPHERE;

ASYMPTOTIC THEORY; BAROTROPIC ROSSBY WAVES; NONLINEAR INTERACTION; THERMAL DISSIPATION;

MECHANICAL WAVES;

BAROCLINIC WAVE; BAROTROPIC WAVE; BOUNDARY LAYER; DISSIPATION; NUMERICAL MODEL; ROSSBY WAVE; TROPOSPHERE;

EID: 5044229214     PISSN: 03091929     EISSN: None     Source Type: Journal    
DOI: 10.1080/03091920410001686712     Document Type: Article

References (26)

1. Biello, J.A. and Majda, A., "The effect of meridional and vertical shear on the interaction of equatorial baroclinic and barotropic Rossby waves", Studies in App. Math. to appear in (May 2004).
2. Boyd, J.R., "Equatorial solitary waves. Part I: Rossby Solitons", J. Phys.,Oceanogr. 10, 1699-1717 (1980).
3. Heckley, W.A. and Gill, A.E., "Some simple solutions to the problem of forced equatorial long waves", Quart J. Roy. Meteor. Soc. 110. 203-217 (1984).
4. Hoskins, B.J. and Jin, F.-F., "The initial value problem for tropical perturbations to a baroclinic atmosphere", Quart J. Roy. Meteor. Soc. 117, 299-317 (1991).
5. Hoskins, B.J. and Yang, G.-Y., "The equatorial response to higher latitude forcing", J. Atmos. Sci. 57, 1197-1213 (2000).
6. Kasahara, A. and Silva Dias, P.L., "Response of planetary waves to stationary tropical heating in a global atmosphere with meridional and vertical shear", J. Atmos. Sci. 43, 1893-1911 (1986).
7. Kiladis, G. and Wheeler, M., "Horizontal and vertical structure of observed tropospheric equatorial Rossby waves", J. Geophys. Res. 100, 22981-22997 (1995).
8. Lim, H. and Chang, C.P., "A theory for midlatitude forcing of tropical motions during winter monsoons", J. Atmos. Sci. 39, 2377-2392 (1981).
9. Lim, H. and Chang, C.P., "Generation of internal and external mode motions from internal heating: effects of vertical shear and damping", J. Atmos. Sci. 43, 948-957 (1986).
10. Longuet-Higgins, M.S., "The eigenfunctions of Laplace's tidal equations over a sphere", Proc. R. Soc. Lond. A 262, 511-607 (1968).
11. Majda, A., Introduction to PDE's and Waves for the Atmosphere and Ocean, American Mathematicai Society (2003).
12. Majda, A. and Biello, J.A., "The nonlinear interaction of barotropic and equatorial baroclinic Rossby waves", J. Atmos. Sci. 60, 1809-1821 (2003).
13. Majda, A. and Klein, R., "Systematic multi-scale models for the tropics", J. Atmos. Sci. 60, 357-372 (2003).
14. Majda, A. and Shefter, M., "Models for stratiform instability and convectively coupled waves", J. A tmos. Sci. 58, 1567-1584 (2001).
15. Moskowitz, B.M. and Bretherton, C.S., "An analysis of frictional feedback on a moist equatorial Kelvin mode", J. A tmos. Sci. 57, 2188-2206 (2000).
16. Neelin, J.D., "A simple model for surface stress and low-level flow in the tropical atmosphere driven by prescribed heating", Q. J. Roy. Meteor. Soc. 114, 747-770 (1988).
17. Neelin, J. D. and Zeng, N., "A quasi-equilibrium tropical circulation model - formulation", J. Atmos. Sci. 57, 1741-1766 (2000).
18. Patoine, A. and Warn, T., "The interaction of long quasi-stationary waves with topography", J. Atmos. Sci. 39, 1018-1025 (1982).
19. Ripa, P., "On improving a one-layer oceal model with thermodynamics", J. Fluid Mech. 303, 169-201 (1995).
20. Wang, B. and Li, T., "A simple tropical atmosphere model of relevance to short-term climate variations", J. Atmos. Sci. 50, 260-284 (1993).
21. Wang, B. and Xie, X., "Low frequency equatorial waves in vertically sheared zonal flow", J. Atmos. Sci. 53, 449-467 (1996).
22. Webster, P.J., "Response of the tropical atmosphere to local steady forcing", Mon. Wea. Rev. 100, 518-541 (1972).
23. Webster, P.J., "Mechanisms determining the atmosphere response to sea surface temperature anomalies", J. Atmos. Sci. 38, 554-571 (1981).
24. Webster, P.J., "Seasonality in the local and remote atmospheric response to sea surface temperature anomalies ", J. Atmos. Sci. 39, 41-52 (1982).
25. Wheeler, M., Kiladis, G.N. and Webster, P., "Large scale dynamical fields associated with convectively coupled equatorial waves", J. Atmos. Sci. 57, 613-640 (2000).
26. Yanai M., Chen, B. and Tung, W.W., "The Madden-Julian oscillation observed during the TOGA COARE IOP: global view", J. Atmos. Sci. 57, 2374-2396 (2000).