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SUMMARY:Eulerian and Lagrangian Observability of Point Vortex Flows - Prof
 essor Arthur J. Krener (Department of Mathematics\, University of Californ
 ia Davis)
DTSTART:20080509T130000Z
DTEND:20080509T140000Z
UID:TALK10476@talks.cam.ac.uk
CONTACT:Dr Guy-Bart Stan
DESCRIPTION:We study the observability of one and two point vortex flow fr
 om one or two Eulerian or Lagrangian observations.   By observability we m
 ean the ability to determine the locations and strengths of the vortices f
 rom the time history of the observations.  An Eulerian observation is a me
 asurement of the velocity of the flow at a fixed point in the domain of th
 e flow.  A Lagrangian observation is the measurement of the position of a 
 particle moving with the fluid.  To determine observability we introduce t
 he observability  and the strong observability rank conditions and  comput
 e them for the various vortex configurations and observations  in this   i
 dealized setting. We find that vortex flows with Lagrangian observations t
 end to be more observable then the same flows with Eulerian observations.\
 n  We also simulate extended Kalman filters for the various vortex configu
 rations and observations and find that they perform poorly when the observ
 ability rank condition or the strong observability rank condition fails to
  hold.\n\n
LOCATION: Cambridge University Engineering Department\, Lecture Room 12
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