Hayashi, Y., and D. G. Golder, 1997: United mechanisms for the generation
of low- and high-frequency tropical waves. Part II: Theoretical Interpretations.
Journal of the Meteorological Society of Japan, 75(4), 775-797.
Abstract: It is assumed that low- and high-frequency tropical waves
are generated by the united mechanisms consisting of the evaporation-wind
feedback (EWF), saturation-triggering (ST), and lateral-triggering mechanisms.
Through the EWF mechanism, some waves become unstable owing to evaporation-wind
feedback. Through the ST mechanism, other waves are triggered by the intermittent
onset of moist convection, upon saturation, to neutralize any pre-existing
conditionally unstable stratification. These mechanisms are theoretically
interpreted by partitioning moist convective adjustment into two consecutive
processes of diagnostic and prognostic adjustments. The two
processes respectively restore and maintain convective equilibrium, and
are crucial to the ST and EWF mechanisms.
As a step toward a unified theory, EWF instability is examined by the use
of a theoretical Kelvin-wave model, which incorporates only the prognostic-adjustment
process in the linearized perturbation equations, thereby excluding the
ST mechanism. The solutions indicate that wave instability results from
the EWF mechanism and not from the wave-CISK mechanism. For a plausible
choice of adjustable parameters, one strongly unstable mode corresponds
to the observed 40-50-day oscillation, while two weakly unstable modes
correspond to the observed 25-30- day and 10-20- day oscillations.
These results are compared with those from the numerical experiments conducted
in Part 1, using a nonlinear model incorporating the original moist convective
adjustment scheme. It is then speculated that the 40-50 - and 25-30 -day
modes can strongly grow through the linear and nonlinear EWF mechanisms
respectively, while the 10-20- day mode can strongly amplify through the
ST mechanism.