Rg. Brown et Cs. Bretherton, TROPICAL WAVE INSTABILITIES - CONVECTIVE INTERACTION WITH DYNAMICS USING THE EMANUEL CONVECTIVE PARAMETERIZATION, Journal of the atmospheric sciences, 52(1), 1995, pp. 67-82
Wave-CISK and evaporation-wind feedback modes, also known as WISHE (wi
nd-induced surface heat exchange) modes, are investigated using a two-
dimensional (x-p), hydrostatic, nonrotational model linearized about a
basic state in radiative-convective equilibrium with no vertical shea
r. Cumulus convection is parameterized using version 1.22 of the Emanu
el convective parameterization scheme, a mass flux scheme that include
s the effects of evaporatively driven unsaturated downdrafts. It is fo
und that the only unstable modes are long-wavelength WISHE modes. All
wave-CISK modes are damped, though the longest-wavelength modes have n
early neutral growth rates. It is demonstrated that the presence of ev
aporatively driven unsaturated downdrafts plays a major role in dampin
g both short-wave WISHE and wave-CISK modes in the model. The model fa
vors approximately the same horizontal scale as observed for the Madde
n-Julian oscillation (40-60 day wave), but the phase speed is too larg
e by a factor of approximately4-5. A general analytical two-dimensiona
l model designed to work with any convective parameterization is used
to show that the unusually high phase speeds are most likely a result
of a time lag in the vertical transport of water vapor by the Emanuel
convective parameterization.