BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Application of Proper Orthogonal Decomposition in Fluid Mechanics 
 and Heat Transfer Problems - Professor Sanjeev Sanghi\, Visiting Professor
 \, Thermo Fluid Mech. Research Centre\, University of Sussex
DTSTART:20080529T131500Z
DTEND:20080529T150000Z
UID:TALK12048@talks.cam.ac.uk
CONTACT:8442
DESCRIPTION:The Proper Orthgonal Decomposition (POD) has become a very use
 ful tool in the analysis and low dimensional modelling of flows.  It provi
 des an objective way of identifying the 'coherent' structures in a turbule
 nt flow.  The application of POD to the case of a thermally driven two-dim
 ensional flow of air in a horizontal rotating cylinder\,\nsubject to Bouss
 inesq approximation\, is presented.  The data for the POD analysis are obt
 ained by numerical integrations of the governing equations of mass\, momen
 tum and energy.  The decomposition based on the POD modes or eigenfunction
 s is shown to converge to within 5% deviation of the computational data fo
 r a maximum of 15 modes for the different cases.  The translational symmet
 ry in both space and time of the pair of modes having degenerate (equal) e
 igenvalues confirms the presence of traveling waves in the flow for severa
 l cases.  The shifts in space and time of the structure of the degenerate 
 modes\, is utilized in the estimation of wave speeds in a given direction.
  The low-dimensional models are constructed employing a Galerkin procedure
 . For each of the five cases\, the low-dimensional models yield accurate q
 ualitative as well as quantitative behaviour of the system.  Not more than
  20 modes are required in the low-dimensional models to accurately model t
 he system dynamics.  The ability of low-dimensional models to accurately p
 redict the system behaviour for the set of parameters different from the o
 ne they were constructed from is also examined.\nFurther applications of P
 OD to supersonic flow past a protrusion mounted on an axisymmetric body ar
 e also presented briefly. \nFinally\, novel (not related to fluid mechanic
 s) applications of POD are presented where the method has been used to com
 press an audio file and for web search personalization.\n
LOCATION:Hopkinson Meeting Room\, Engineering Department
END:VEVENT
END:VCALENDAR