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Production mechanisms of intense events
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Ferguson, Andrew Neil (2012) Production mechanisms of intense events. PhD thesis, University of Warwick.
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WRAP_THESIS_Ferguson_2013.pdf - Submitted Version Download (143Mb) | Preview |
Official URL: http://webcat.warwick.ac.uk/record=b2691388~S1
Abstract
The Restricted Euler equations, taken from the Vieillefosse model for the
velocity gradient tensor, are re-investigated using data from direct numerical
simulations of an intense event, rather than using data from forced simulations
of homogeneous, isotropic turbulence. The goal is to develop ideas for extensions
to turbulence models based on the RE equations that can handle these
intense events. With this goal in mind, the new numerical data is compared
against the evolution of the RE equations towards a finite time limit and its
predictions on how ratios of the RE moments converge. The analysis starts by
looking at distributions of the invariants in the R-Q phase space. From this,
the analysis then compares the Vieillefosse equations to the full equations and
notes that there is a significant change in behaviour around t = 0:5. It is
suggested that this is associated with a change in
ow topology due to the
reconnection of vortex tubes in the
flow field. To build a higher-order model,
more terms from the full RE equations should be used, which is investigated
by looking at the co-evolution of the second invariant Q and the third-order
moments, Rw and Rs.
Item Type: | Thesis (PhD) | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Fluid dynamics, Turbulence -- Mathematical models | ||||
Official Date: | October 2012 | ||||
Dates: |
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Institution: | University of Warwick | ||||
Theses Department: | School of Engineering | ||||
Thesis Type: | PhD | ||||
Publication Status: | Unpublished | ||||
Sponsors: | Kerr, Robert M. (Robert McDougall), 1954- | ||||
Extent: | xvii, 120 leaves : illustrations. | ||||
Language: | eng |
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