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CATEGORIES:Your personal list
SUMMARY:Application of Proper Orthogonal Decomposition in
Fluid Mechanics and Heat Transfer Problems - Sanje
ev Sanghi\, Applied mechanics Department\, I.I.T.
Delhi\, India
DTSTART;TZID=Europe/London:20080428T110000
DTEND;TZID=Europe/London:20080428T120000
UID:TALK12020AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/12020
DESCRIPTION:The Proper Orthgonal Decomposition (POD) has beome
a very useful tool in the analysis and low dimens
ional modeling of flows. It provides an objective
way of identifying the 'coherent' structures in a
turbulent flow. The application of POD to the ca
se of a thermally driven two-dimensional flow of a
ir in a horizontal rotating cylinder\,\nsubject to
Boussinesq approximation\, is presented. The dat
a for the POD analysis is obtained by numerical in
tegrations of the governing equations of mass\, mo
mentum and energy. The decomposition based on the
POD modes or eigenfunctions is shown to converge
to within 5% deviation of the computational data f
or a maximum of 15 modes for the different cases.
The translational symmetry in both space and time
of the pair of modes having degenerate (equal) ei
genvalues confirms the presence of traveling waves
in the flow for several cases. The shifts in spa
ce and time of the structure of the degenerate mod
es\, is utilized in the estimation of wave speeds
in a given direction. The low-dimensional models a
re constructed employing a Galerkin procedure. For
each of the five cases\, the low-dimensional mode
ls yield accurate qualitative as well as quantitat
ive behaviour of the system. Not more than 20 mod
es are required in the low-dimensional models to a
ccurately model the system dynamics. The ability
of low-dimensional models to accurately predict th
e system behaviour for the set of parameters diffe
rent from the one they were constructed from is al
so examined.\nFurther applications of POD to super
sonic flow past a triangular protuberance mounted
on an axisymmetric body are also presented briefly
. \nFinally\, novel (not related to fluid mechanic
s) applications of POD are presented where the met
hod has been used to compress an audio file and fo
r web search personalization.\n
LOCATION:Venue to be confirmed
CONTACT:Professor Sanjeev Sanghi
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