Modeling a Hurricane Boundary Layer Through Matched Asymptotics

This investigation introduces an novel theoretical framework for symmetric hurricanes, merging concepts from established works through the formal application of matched asymptotic analysis. We delineate three distinctive layers, each characterized by an asymptotic scaling regime. The friction-dominated layer (FL), closest to the ocean surface, is marked by radial transport of angular momentum and elevated moist entropy. The intermediate convection-controlling layer (CCL) witnesses mass fluxes from the FL governing the initiation of moist convection, defining the lifting condensation level (LCL) and the level of free convection (LFC). Above, the free troposphere experiences balanced, frictionless motion of the bulk vortex, influencing thermodynamic adjustments alongside injected moist air masses from the CCL, thus determining convectively available potential energy (CAPE).

This presentation will illuminate the mathematical intricacies of the matching principle, unveiling insightful details on the specific mechanisms shaping hurricane dynamics. An outlook will inspire further exploration into asymmetric hurricanes and the intricate interplay between fluid structure and moist convection.