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SUMMARY:Optimization-based flow analysis - Peter Schmid (Imperial College)
DTSTART:20160905T150000Z
DTEND:20160905T160000Z
UID:TALK67415@talks.cam.ac.uk
CONTACT:Doris Allen
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 partial-
 differential equations (PDEs) as side-constraints. Only in the limit of ov
 erly restrictive assumptions do these optimisation problems reduce to stan
 dard and familiar tools for the analysis of fluid systems. We will introdu
 ce a framework for the analysis of large-scale fluid systems by PDE-constr
 ained optimization techniques. This framework will make use of adjoint inf
 ormation which is extracted efficiently from direct numerical simulations 
 of the fluid problem via a modified automatic differentiation approach. Th
 e 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.
LOCATION:MR2\, Centre for Mathematical Sciences\, Wilberforce Road\, Cambr
 idge
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