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The Evolution of Barotropically Unstable, High-Rossby Number Vortices in Shear

The role of mesovortices in the eyewalls of sheared unstable, high-Rossby number vortices is investigated. A high-resolution numerical model is used to simulate dry vortices in an attempt to unite ideas from previous works. The simulations are used to investigate the dynamical, adiabatic interactions between potential vorticity (PV) mixing dynamics and shear forcings of barotropically unstable, high-Rossby number barotropic vortices. Previous work has investigated barotropic vortices in shear, while other previous work has studied barotropically unstable ring vortices. This work will combine those two avenues of research by shearing barotropically unstable barotropic ring vortices because ring vortices are more representative of tropical cyclones. Quantitative and qualitative analysis of the tilt and of the internal dynamics are presented. Using such as metrics as PV power spectra, PV palinstrophy, and a linear energy equation that incorporates the effects of the shear forcing, it is found that impact of the shear forcing on the initial breakdown of the ring is merely slight; however, the breakdown of the ring of high PV into smaller mesovortices – and the subsequent rearrangement of PV into a monopolar structure – is quite significant when considering the tilt evolution. As the vortex mixes, the storm weakens. This acts as a detriment to the ability of the vortex to keep itself upright and resistant to the shear forcing, as the penetration depth of each layer of the vortex decreases to below the scale height after mixing. In terms of the energetics, it is found that the barotropic energy conversion term is consistently the largest, which is expected. When sheared, the shear forcing acts to generally counteract the effects of mixing and reduce eddy kinetic energy. Additionally, it is found that the shear forcing induces a trochoidal oscillation at levels of highest background flow. The sensitivity of the results is investigated by comparing and contrasting two different centroid metrics - a pressure-ring centroid and a PV-cubed centroid. PV centroid metrics historically have been used to investigate inner-core tilt while geopotential centroid metrics have been to used to investigate larger-scale tilt. For the first time, these two approaches are being compared and contrasted. It is found that during a dynamical mixing event, the PV centroid is not very resistant to the rapidly changing inner-core PV field, and that this has nontrivial effects on the calculations of center-sensitive fields such as Fourier decompositions in the azimuth and determining radial and tangential wind structures. When using a pressure-ring centroid centeredon a pressure contour that resides far enough outside the core yet radially inward enough not to be impacted by the environment, it is found that this method is much more resistant to inner core processes. / A Dissertation Submitted to the Department of Earth, Oceanic, and Atmospheric Science in Partial Fulfillment of the Requirements for the Degree of Doctor of
Philosophy. / Spring Semester, 2011. / March 22, 2011. / dynamics, hurricane, adiabatic, vortex in shear / Includes bibliographical references. / Robert Hart, Professor Directing Dissertation; T. N. Krishnamurti, Professor Co-Directing Dissertation; William Dewar, University Representative; Vasu Misra, Committee Member; Robert Ellingson, Committee Member.

Identiferoai:union.ndltd.org:fsu.edu/oai:fsu.digital.flvc.org:fsu_176423
ContributorsRyglicki, David R. (authoraut), Hart, Robert (professor directing dissertation), Krishnamurti, T. N. (professor co-directing dissertation), Dewar, William (university representative), Misra, Vasu (committee member), Ellingson, Robert (committee member), Department of Earth, Ocean and Atmospheric Sciences (degree granting department), Florida State University (degree granting institution)
PublisherFlorida State University, Florida State University
Source SetsFlorida State University
LanguageEnglish, English
Detected LanguageEnglish
TypeText, text
Format1 online resource, computer, application/pdf
RightsThis Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s). The copyright in theses and dissertations completed at Florida State University is held by the students who author them.

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