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CATEGORIES:Cambridge Analysts' Knowledge Exchange
SUMMARY:The Unified Transform: A New Tool for Scattering P
 roblems - Matthew Colbrook\, University of Cambrid
 ge
DTSTART;TZID=Europe/London:20190410T160000
DTEND;TZID=Europe/London:20190410T170000
UID:TALK122851AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/122851
DESCRIPTION:The interaction of acoustic or hydrodynamic fluctu
 ations with thin elastic structures arise in numer
 ous situations including both aeroacoustics\, wher
 e elasticity of a wing is known to reduce the aero
 dynamic noise scattered by the sharp trailing edge
 \, and oceanography\, where ice sheets deform elas
 tically on the ocean surface affecting acoustic sc
 attering in the ocean beneath. Accurate and fast m
 odelling of the fluid-structure interaction is key
  to predicting the effect of external forces on an
  elastic plate\, or the effect of elasticity on th
 e radiated field\, and thus key for providing insi
 ght into a wide range of fluid dynamic problems. H
 owever\, these types of problems are very difficul
 t to analyse via traditional methods such as the W
 iener-Hopf technique due to the complexity of the 
 elastic kernel function (this becomes more difficu
 lt for finite structures due to the need to factor
 ise a matrix kernel rather than a scalar kernel).\
 n\nI will present a new boundary spectral collocat
 ion method for tackling such external acoustic sca
 ttering problems which may involve both rigid and 
 elastic flat-plate boundaries. The method is ideal
 ly suited to mixed boundary value problems in unbo
 unded domains and can handle solutions with corner
  singularities. The new method is fast and accurat
 e\, even for high frequencies\, avoiding complicat
 ions such as the evaluation of singular integrals 
 that arise in typical boundary based methods. The 
 method will be illustrated by application to aerod
 ynamic noise generated by flexible wings.
LOCATION:MR9\, Centre for Mathematical Sciences
CONTACT:Georg Maierhofer
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