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SUMMARY:A Mathematical Method to Solve Gust-Diffraction Problems with Gene
 ralised Linear Boundary Conditions - Alistair Hales (University of Cambrid
 ge)
DTSTART:20221110T140000Z
DTEND:20221110T150000Z
UID:TALK192536@talks.cam.ac.uk
CONTACT:Alistair Hales
DESCRIPTION:The Wiener--Hopf Technique is a popular method used in the ana
 lysis of diffraction problems and elsewhere. We present a framework incorp
 orating the Wiener–Hopf technique into models for estimating trailing-ed
 ge noise. This framework uses a novel methodology that can solve the trail
 ing-edge gust diffraction problem for a surface with a general linear boun
 dary condition. We discuss how such a boundary condition may be simplified
  using a transformation of variables to a trigonometric polynomial\, whose
  roots give the information required to split the scalar kernel into indiv
 idual factors. This methodology provides insight into the underlying struc
 ture of the kernel while also allowing numerical methods to be easily appl
 ied thanks to the Maliuzhinets function that originates from wedge diffrac
 tion problems. We use this theory for a gust diffraction problem in which 
 we model a compliant boundary in flow with the well-posed Ingard–Myers b
 oundary condition. We present directivities for a variety of frequencies a
 nd impedance values. 
LOCATION:MR14
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