fwh-equation / complex-cascade-scattering

Codes for the paper "Acoustic scattering by cascades with complex boundary conditions: compliance, porosity and impedance"

Complex cascade scattering

This repository contains the codes used to produce the results in the paper "Acoustic scattering by cascades with complex boundary conditions: compliance, porosity and impedance", Journal of Fluid Mechanics, 2020.

The paper is concerned with calculating the scattering by an acoustic or vortical wave interacting with a cascade of blades with complex boundary conditions. The boundary conditions can model a range of physical phenomena, including compliance, porosity, and impedance. In particular, we derive exact solutions using the Wiener--Hopf method. Equipped with these solutions, it is now straightforward to calculate important aeroacoustic quantities, as illustrated below:

Pressure field	Chord-wise velocity field

Note the vortex shedding in the chord-wise velocity field.

In order to use the code, simply clone the repository onto your machine with:

git clone https://github.com/baddoo/complex-cascade-scattering.git

Make sure that all the subfolders are in the MATLAB search path by using, for example, the genpath command.

To get started try playing around with the testFields.m file inside the tests folder. This should give you an idea of what the code can do.

Feel free to get in touch if you have any questions or identify any bugs.