Compared to the control experiment in which the small-scale, shear-stratified turbulence is parameterized in the usual way based on a Richardson number criterion, the vortex in a calculation without a representation of vertical diffusion above the boundary layer evolves in a similar way with no significant difference in upper-level outflow layer temperature or intensification rate with time. Richardson number near-criticality is found mainly in the outflow outside the eyewall; in contrast, the rearrangement of moist entropy is found in the eyewall itself. The identified eddy processes in the eyewall are largely realizations of asymmetric deep convection in the model and are not obviously governed by any Richardson number-based criterion. These three-dimensional calculations do not support the new hypothesis on which the new theory is based. The results appear to have ramifications for recent studies that invoke the new theory.
Emanuel, K. A., 2012: Self-stratification of tropical cyclone outflow. Part II: Implications for storm intensification. J. Atmos. Sci., 69, 988–996.