Journal
GEOPHYSICAL AND ASTROPHYSICAL FLUID DYNAMICS
Volume 102, Issue 6, Pages 543-591Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/03091920802044787
Keywords
Cyclogenesis; Hot towers; Strong shear sources; Vertical shear; Horizontal flows; Stability analysis
Funding
- ONR [N0014-05-1-0164]
- NSF [DMS-0456713]
- National Sciences and Engineering Research Council of Canada (NSERC) [PDF-329052-2006]
Ask authors/readers for more resources
Canonical balanced dynamic equations involving vertically sheared horizontal flow with heat or mass sources have emerged recently in systematic multi-scale modeling of the equatorial wave guide on a wide range of spatio-temporal scales. Here, a new self-contained derivation of these equations is developed briefly in a context for potential applications to the hurricane embryo. These canonical balanced equations are studied through a combination of exact solutions and simple numerics. The results below include elementary exact solutions given by velocity fields that are linear in the spatial coordinates combined with an exact nonlinear stability analysis for vertical vorticity amplification in such a preconditioned environment. Other elementary solutions studied here include the evolution of radial eddies, which represent hot towers in the hurricane embryo in a suitable radial preconditioned background environment.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available