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CATEGORIES:Waves Group (DAMTP)
SUMMARY:A Mathematical Method to Solve Gust-Diffraction Pr
oblems with Generalised Linear Boundary Conditions
- Alistair Hales (University of Cambridge)
DTSTART;TZID=Europe/London:20221110T140000
DTEND;TZID=Europe/London:20221110T150000
UID:TALK192536AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/192536
DESCRIPTION:The Wiener--Hopf Technique is a popular method use
d in the analysis of diffraction problems and else
where. We present a framework incorporating the Wi
ener–Hopf technique into models for estimating tra
iling-edge noise. This framework uses a novel meth
odology that can solve the trailing-edge gust diff
raction problem for a surface with a general linea
r boundary condition. We discuss how such a bounda
ry condition may be simplified using a transformat
ion of variables to a trigonometric polynomial\, w
hose roots give the information required to split
the scalar kernel into individual factors. This me
thodology provides insight into the underlying str
ucture of the kernel while also allowing numerical
methods to be easily applied thanks to the Maliuz
hinets function that originates from wedge diffrac
tion problems. We use this theory for a gust diffr
action problem in which we model a compliant bound
ary in flow with the well-posed Ingard–Myers bound
ary condition. We present directivities for a vari
ety of frequencies and impedance values.
LOCATION:MR14
CONTACT:Alistair Hales
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