Results of seminal work by Willoughby et al. (1984) indicate that SBCs form in storms that are embedded in environmental flow with vertical wind shear. To reduce the inherent complexity, we here examine SBC formation in previously-published, convection-permitting idealized numerical experiments of tropical cyclones in vertical shear. Consistent with a result of Willoughby et al., we find that the SBC is located near the thermodynamic boundary between the TC's moist envelope high-θe air that encompasses the TC's inner core and the lower-θe environment.
Our re-examination of the SBC formation suggests that the previously-proposed formation mechanism based on vorticity conservation needs to be revised. As one step towards a more complete understanding of SBC formation, we here propose a mechanism for the generation of a favorable, meso-β-scale environment in which the SBC then forms. This mechanism comprises two fundamental effects of vertical wind shear on the tropical cyclone: vortex tilt and the distortion of the moist envelope. For tropical cyclones that are subject to approximately uni-directional vertical shear, one can expect an azimuthal wavenumber-1 pattern of high-vorticity and high-θe values to the right of the shear vector extending to radii of 150 200 km. This region outside of the eyewall is thus favorable for the initiation of deep convection. The radial shear of the swirling winds then promotes the organization of the convection into a banded structure. A simple boundary layer model and trajectory analysis is employed to examine further the forcing for ascent in the SBC.