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SUMMARY:The Unified Transform: A New Tool for Scattering Problems - Matthe
 w Colbrook\, University of Cambridge
DTSTART:20190410T150000Z
DTEND:20190410T160000Z
UID:TALK122851@talks.cam.ac.uk
CONTACT:Georg Maierhofer
DESCRIPTION:The interaction of acoustic or hydrodynamic fluctuations with 
 thin elastic structures arise in numerous situations including both aeroac
 oustics\, where elasticity of a wing is known to reduce the aerodynamic no
 ise scattered by the sharp trailing edge\, and oceanography\, where ice sh
 eets deform elastically on the ocean surface affecting acoustic scattering
  in the ocean beneath. Accurate and fast modelling of the fluid-structure 
 interaction is key to predicting the effect of external forces on an elast
 ic plate\, or the effect of elasticity on the radiated field\, and thus ke
 y for providing insight into a wide range of fluid dynamic problems. Howev
 er\, these types of problems are very difficult to analyse via traditional
  methods such as the Wiener-Hopf technique due to the complexity of the el
 astic kernel function (this becomes more difficult for finite structures d
 ue to the need to factorise a matrix kernel rather than a scalar kernel).\
 n\nI will present a new boundary spectral collocation method for tackling 
 such external acoustic scattering problems which may involve both rigid an
 d elastic flat-plate boundaries. The method is ideally suited to mixed bou
 ndary value problems in unbounded domains and can handle solutions with co
 rner singularities. The new method is fast and accurate\, even for high fr
 equencies\, avoiding complications such as the evaluation of singular inte
 grals that arise in typical boundary based methods. The method will be ill
 ustrated by application to aerodynamic noise generated by flexible wings.
LOCATION:MR9\, Centre for Mathematical Sciences
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