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CATEGORIES:Faculty of Mathematics Lectures
SUMMARY:Optimization-based flow analysis - Professor Peter
  Schmid\, Department of Mathematics\, Imperial Col
 lege London
DTSTART;TZID=Europe/London:20160905T160000
DTEND;TZID=Europe/London:20160905T170000
UID:TALK67393AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/67393
DESCRIPTION:Many properties of fluid systems\, such as stabili
 ty\, receptivity to external or internal forcing\,
  or sensitivity to uncertainties or imperfections\
 , can be formulated as an optimization problem wit
 h\npartial-differential equations (PDEs) as side-c
 onstraints. Only in the limit of overly restrictiv
 e assumptions do these optimisation problems reduc
 e to standard and familiar tools for the analysis 
 of fluid systems. We will introduce a framework fo
 r the analysis of large-scale fluid systems by PDE
 -constrained optimization techniques. This framewo
 rk will make use of adjoint information which is e
 xtracted efficiently from direct numerical simulat
 ions of the fluid problem via a modified automatic
  differentiation approach. The adjoint methodology
  will be demonstrated on various test cases where 
 its flexibility and versatility will be stressed. 
 Current research directions\, generalizations and 
 challenges will be outlined as well.\n
LOCATION:MR2\, Centre for Mathematical Sciences
CONTACT:June Rix
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