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Numerical identification of fast structural growth in stratified turbulence
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Parmar, Amar S. (2012) Numerical identification of fast structural growth in stratified turbulence. PhD thesis, University of Warwick.
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WRAP_THESIS_Parmar_2012.pdf - Submitted Version Download (10Mb) | Preview |
Official URL: http://webcat.warwick.ac.uk/record=b2683269~S1
Abstract
We investigate a type of instability observed in the presence of two counter rotating vortex
columns in a highly stratfied
fluid, Fr < 1. This instability causes the vortex columns
to be bent and stretched out in the horizontal direction eventually leading to discrete
horizontal layers of vorticity. The instability is known as the zigzag instability and causes
exponential growth in total enstrophy which stops once viscous dissipation becomes im-
portant. We find that two counter rotating vortex columns with localised perturbations
applied parallel to the direction of propagation and offset from one another between the
two columns is an initial profile that is highly unstable to the zigzag instability leading
to exponential enstrophy growth faster than any prior numerical simulations have shown
however is consistent in timing with a previous experimental result. We show that the
zigzag instability that develops on these vortex columns provides a mechanism for energy
(kinetic and potential) to cascade from large scales to small scales.
Item Type: | Thesis (PhD) | ||||
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Subjects: | Q Science > QA Mathematics T Technology > TA Engineering (General). Civil engineering (General) |
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Library of Congress Subject Headings (LCSH): | Turbulence -- Mathematical models, Vortex-motion, Scaling laws (Statistical physics) | ||||
Official Date: | March 2012 | ||||
Dates: |
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Institution: | University of Warwick | ||||
Theses Department: | Mathematics Institute | ||||
Thesis Type: | PhD | ||||
Publication Status: | Unpublished | ||||
Supervisor(s)/Advisor: | Kerr, Robert | ||||
Extent: | xii, 82 leaves : illustrations, charts. | ||||
Language: | eng |
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