Basic Concepts Involved in Tropical Cyclone Boundary Layer Shocks
Abstract
This paper discusses some basic concepts that arise in the study of the tropical cyclone frictional boundary layer. Part I discusses the concepts of asymptotic triangular waves and asymptotic Nwaves in the context of the nonlinear advection equation and Burgers' equation. Connections are made between triangular waves and single eyewalls, and between Nwaves and double eyewalls. In Part II, analytical solutions of a linesymmetric, $f$plane, slab model of the atmospheric boundary layer are presented. The boundary layer flow is forced by a specified pressure field and initialized with $u$ and $v$ fields that differ from the steadystate Ekman solution. With certain smooth initial conditions, discontinuities in $u$ and $v$ can be produced during the transient adjustment to the steadystate Ekman solution. Associated with these discontinuities in the horizontal wind components are singularities in the boundary layer pumping and the boundary layer vorticity, which can be either divergencepreferred or vorticitypreferred. These models serve as a prototype for understanding the role of the atmospheric boundary layer in the dynamics of primary and secondary eyewalls in tropical cyclones
 Publication:

arXiv eprints
 Pub Date:
 August 2017
 arXiv:
 arXiv:1709.00101
 Bibcode:
 2017arXiv170900101S
 Keywords:

 Physics  Atmospheric and Oceanic Physics