To determine if the small scales are resolved correctly, a statistical framework for comparison to observations of small-scales is developed. The standard definition of a model's forecast intensity is examined, and found to have a systematic, resolution-dependent bias. A database of TRMM overpasses of over eight hundred tropical cyclones is produced and used to show a relationship between storm-scale cloud top temperature and storm wind intensity. However, all storms, regardless of strength, produce near-tropopause cloud tops, and storms undergoing rapid intensification (RI) tend to have higher cloud tops than non-RI storms. In an analysis of in-situ wind data, vertical wind is shown to be scale-invariant, with no correlation beyond, nominally, 2km scales.
This new framework for comparison is used to show that model's cloud tops have the right relationships with intensity and intensification, but that downdrafts are weak and rare. Model "spin-up" issues are seen: in the first six hours, some storms rapidly gain fine-scale 3km resolution wind maxima that hurt the forecast and others weaken uniformly at all resolutions. In addition, a model bug is found in this and operational HWRF: all microphysics type fractions are discarded when the nest moves.
Overall, the research presented in this demonstrates the value of statistical diagnostics for high-resolution models. In addition, this research presents a framework for a deeper investigation of tropical cyclone small-scale dynamics.