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SUMMARY:The influence of fast waves and fluctuations on the evolution of t
 hree slow solutions of the Boussinesq equations - Wingate\, B (University 
 of Exeter)
DTSTART:20131204T144500Z
DTEND:20131204T153000Z
UID:TALK49176@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Co-authors: Jared P. Whitehead (Brigham Young University)\, Te
 rry Haut (Los Alamos National Laboratory) \n\nWe present results from a st
 udy of the impact of the non-slow (typically fast) components of a rotatin
 g\, stratified flow on its slow dynamics. We examine three known slow limi
 ts of the rotating and stratified Boussinesq equations: strongly stratifie
 d flow ($Fr \nightarrow 0\, Ro pprox O(1)$)\, strongly rotating flow ($Ro
  \nightarrow 0\, Fr pprox O(1)$) and Quasi-Geostrophy ($Ro \nightarrow 0\
 , Fr \nightarrow 0\, Fr/Ro = f/N$ 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 projected onto the null space of th
 e fast operator and everything else. We use this decomposition to find evo
 lution equations for the flow (and corresponding energy) on and off the sl
 ow manifold. \n\nNumerical simulations indicate that for the geometry cons
 idered (triply periodic) and the type of forcing applied\, the fast waves 
 act as a conduit\, moving energy onto the slow manifold. This decompositio
 n clarifies how the energy is exchanged when either the stratification or 
 the rotation is weak. In the quasi-geostrophic limit the energetics are le
 ss clear\, however it is observed that the energy off the slow manifold eq
 uilibrates to a quasi-steady value. \n\nAt the end I will discuss how grea
 ter understanding of flow/fast dynamics could impact emerging numerical al
 gorithms designed for future computer architectures.\n
LOCATION:Seminar Room 1\, Newton Institute
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