activity
20072022
most citedSeries expansion for the sound field of a ring source

16 citations · 56 across the 17 of their papers we have counts for

collaborators

17 papers

physics.flu-dyn2022

Shielding of rotor noise by plates and wings

Michael Carley

A method of noise reduction proposed for the next generation of aircraft is to shield noise from the propulsion system, by positioning the noise source over a wing or another surfa…

math.NA2021

Spherical polar coordinate transformation for integration of singular functions on tetrahedra

Michael J. Carley

A method is presented for the evaluation of integrals on tetrahedra where the integrand has an integrable singularity at one vertex. The approach uses a transformation to spherical…

physics.flu-dyn2020★ 3 cited

Sound from rotors in non-uniform flow

Michael Carley

An analysis is presented for the evaluation of the acoustic field of a rotating source in a non-uniform potential flow. Other than the restriction to low flow Mach numbers, the met…

math.NA2019

Closed-form evaluation of potential integrals in the Boundary Element Method

Michael Carley

A method is presented for the analytical evaluation of the singular and near-singular integrals arising in the Boundary Element Method solution of the Helmholtz equation. An error…

math-ph2013

Fourier transform of a Bessel function multiplied by a Gaussian

Michael Carley

An analytical result is given for the exact evaluation of an integral which arises in the analysis of acoustic radiation from wave packet sources: $ I_{mn}(β,q) = \int_{-\infty}^{\…

math.NA2013

Quadrature for second-order triangles in the Boundary Element Method

Michael Carley

A quadrature method for second-order, curved triangular elements in the Boundary Element Method (BEM) is presented, based on a polar coordinate transformation, combined with elemen…