A Mathematical Method to Solve Gust-Diffraction Problems with Generalised Linear Boundary Conditions

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• Alistair Hales (University of Cambridge)
• Thursday 10 November 2022, 14:00-15:00
• MR14.

If you have a question about this talk, please contact Alistair Hales.

The Wiener—Hopf Technique is a popular method used in the analysis of diffraction problems and elsewhere. We present a framework incorporating the Wiener–Hopf technique into models for estimating trailing-edge noise. This framework uses a novel methodology that can solve the trailing-edge gust diffraction problem for a surface with a general linear boundary 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 individual factors. This methodology provides insight into the underlying structure of the kernel while also allowing numerical methods to be easily applied thanks to the Maliuzhinets function that originates from wedge diffraction 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 boundary condition. We present directivities for a variety of frequencies and impedance values.

This talk is part of the Waves Group (DAMTP) series.

This talk is included in these lists:

• MR14
• Waves Group (DAMTP)

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