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SUMMARY:Application of Proper Orthogonal Decomposition in Fluid Mechanics 
 and Heat Transfer Problems - Sanjeev Sanghi\, Applied mechanics Department
 \, I.I.T. Delhi\, India
DTSTART:20080428T100000Z
DTEND:20080428T110000Z
UID:TALK12020@talks.cam.ac.uk
CONTACT:Professor Sanjeev Sanghi
DESCRIPTION:The Proper Orthgonal Decomposition (POD) has beome a very usef
 ul tool in the analysis and low dimensional modeling of flows.  It provide
 s an objective way of identifying the 'coherent' structures in a turbulent
  flow.  The application of POD to the case of a thermally driven two-dimen
 sional flow of air in a horizontal rotating cylinder\,\nsubject to Boussin
 esq approximation\, is presented.  The data for the POD analysis is obtain
 ed by numerical integrations of the governing equations of mass\, momentum
  and energy.  The decomposition based on the POD modes or eigenfunctions i
 s shown to converge to within 5% deviation of the computational data for 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) eige
 nvalues confirms the presence of traveling waves in the flow for several c
 ases.  The shifts in space and time of the structure of the degenerate mod
 es\, is utilized in the estimation of wave speeds in a given direction. Th
 e low-dimensional models are constructed employing a Galerkin procedure. F
 or each of the five cases\, the low-dimensional models yield accurate qual
 itative as well as quantitative behaviour of the system.  Not more than 20
  modes are required in the low-dimensional models to accurately model the 
 system dynamics.  The ability of low-dimensional models to accurately pred
 ict the system behaviour for the set of parameters different from the one 
 they were constructed from is also examined.\nFurther applications of POD 
 to supersonic flow past a triangular protuberance mounted on an axisymmetr
 ic body are also presented briefly. \nFinally\, novel (not related to flui
 d mechanics) applications of POD are presented where the method has been u
 sed to compress an audio file and for web search personalization.\n
LOCATION:Venue to be confirmed
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