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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:The influence of fast waves and fluctuations on th
e evolution of three slow solutions of the Boussin
esq equations - Wingate\, B (University of Exeter)
DTSTART;TZID=Europe/London:20131204T144500
DTEND;TZID=Europe/London:20131204T153000
UID:TALK49176AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/49176
DESCRIPTION:Co-authors: Jared P. Whitehead (Brigham Young Univ
ersity)\, Terry Haut (Los Alamos National Laborato
ry) \n\nWe present results from a study of the imp
act of the non-slow (typically fast) components of
a rotating\, stratified flow on its slow dynamics
. We examine three known slow limits of the rotati
ng and stratified Boussinesq equations: strongly s
tratified flow ($Fr \nightarrow 0\, Ro pprox O(1)
$)\, strongly rotating flow ($Ro \nightarrow 0\, F
r pprox O(1)$) and Quasi-Geostrophy ($Ro \nightar
row 0\, Fr \nightarrow 0\, Fr/Ro = f/N$ finite). \
n\nIn order to understand how the flow approaches
and interacts with the slow dynamics we decompose
the full solution into a component that is project
ed onto the null space of the fast operator and ev
erything else. We use this decomposition to find e
volution equations for the flow (and corresponding
energy) on and off the slow manifold. \n\nNumeric
al simulations indicate that for the geometry cons
idered (triply periodic) and the type of forcing a
pplied\, the fast waves act as a conduit\, moving
energy onto the slow manifold. This decomposition
clarifies how the energy is exchanged when either
the stratification or the rotation is weak. In the
quasi-geostrophic limit the energetics are less c
lear\, however it is observed that the energy off
the slow manifold equilibrates to a quasi-steady v
alue. \n\nAt the end I will discuss how greater un
derstanding of flow/fast dynamics could impact eme
rging numerical algorithms designed for future com
puter architectures.\n
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:Mustapha Amrani
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