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SUMMARY:Optimization-based flow analysis - Professor Peter Schmid\, Depart
 ment of Mathematics\, Imperial College London
DTSTART:20160905T150000Z
DTEND:20160905T160000Z
UID:TALK67393@talks.cam.ac.uk
CONTACT:June Rix
DESCRIPTION:Many properties of fluid systems\, such as stability\, recepti
 vity to external or internal forcing\, or sensitivity to uncertainties or 
 imperfections\, can be formulated as an optimization problem with\npartial
 -differential equations (PDEs) as side-constraints. Only in the limit of o
 verly restrictive assumptions do these optimisation problems reduce to sta
 ndard and familiar tools for the analysis of fluid systems. We will introd
 uce a framework for the analysis of large-scale fluid systems by PDE-const
 rained optimization techniques. This framework will make use of adjoint in
 formation which is extracted efficiently from direct numerical simulations
  of the fluid problem via a modified automatic differentiation approach. T
 he adjoint methodology will be demonstrated on various test cases where it
 s flexibility and versatility will be stressed. Current research direction
 s\, generalizations and challenges will be outlined as well.\n
LOCATION:MR2\, Centre for Mathematical Sciences
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