In some simulations, there is a remarkable steadiness to the height of the maximum perturbation temperature throughout periods of rapid intensification, and so the height of the warm core need not be directly related to intensity. Dual maxima in perturbation temperature are often found in both idealized and real-data simulations, with the upper maximum typically between 12-14km.
We present potential temperature budgets and trajectory analyses in order to gain further insight into the thermodynamic structure of the eye. It is also shown that the vertical velocity field in the eye is not characterized by a steady, horizontally, homogeneous, weak subsidence, but rather is dominated by high-frequency gravity waves, whose amplitudes (up to several m/s) are much greater than the time-mean vertical velocity (~1-5 cm/s descent). The vertical structure of the mean descent is not steady, and varies substantially from day to day.