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Nonlinear equatorial Kelvin waves and CISK. II: Finite‐amplitude analysis and the leading edge of a cloud region
Author(s) -
Cho HanRu
Publication year - 2000
Publication title -
quarterly journal of the royal meteorological society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.744
H-Index - 143
eISSN - 1477-870X
pISSN - 0035-9009
DOI - 10.1002/qj.49712656310
Subject(s) - amplitude , kelvin wave , physics , coordinate system , nonlinear system , enhanced data rates for gsm evolution , instability , separable space , mechanics , classical mechanics , mathematical analysis , geometry , meteorology , mathematics , optics , quantum mechanics , telecommunications , computer science
Kelvin wave‐OSK (Conditional Instability of the Second Kind) is studied as a possible explanation for the intraseasonal oscillations of the equatorial troposphere. In this second part of the paper, the finite‐amplitude analysis is performed. It is shown that if one assumes that (he temperature field is separable for the vertical coordinate, then all variables are separable in terms of the vertical coordinate, in the cloud region or in the clear area. Under the assumption that the temperature is separable, it was found that Kelvin waves with finite amplitude when coupled with cumulus heating are never unstable; this conclusion is the same as for the waves in the small‐amplitude approximation in part I. The rarefaction wave at the leading edge of a cloud region is analysed in detail. The analysis can be done only with the finite‐amplitude approximation because of the requirement of genuine nonlinearity.