The boundary element method in acoustics: A survey

S Kirkup - Applied Sciences, 2019 - mdpi.com
The boundary element method (BEM) in the context of acoustics or Helmholtz problems is
reviewed in this paper. The basis of the BEM is initially developed for Laplace's equation …

Subdivision surfaces—boundary element accelerated by fast multipole for the structural acoustic problem

L Chen, C Lu, W Zhao, H Chen… - Journal of Theoretical and …, 2020 - World Scientific
A novel boundary element method based on subdivision surfaces is applied to simulate
wave scattering problems governed by the Helmholtz equation. The Loop subdivision …

A nonintrusive reduced basis method applied to aeroacoustic simulations

F Casenave, A Ern, T Lelievre - Advances in Computational Mathematics, 2015 - Springer
Abstract The Reduced Basis Method can be exploited in an efficient way only if the so-called
affine dependence assumption on the operator and right-hand side of the considered …

Sound shielding simulation by coupled discontinuous Galerkin and fast boundary element methods

S Proskurov, R Ewert, M Lummer… - Engineering …, 2022 - Taylor & Francis
ABSTRACT A code coupling has been established for performing efficient fan tone shielding
simulations of aerial vehicles with unconventional engine installations. In particular, the Fast …

Low-order Prandtl-Glauert-Lorentz based absorbing boundary conditions for solving the convected Helmholtz equation with discontinuous Galerkin methods

H Barucq, N Rouxelin, S Tordeux - Journal of Computational Physics, 2022 - Elsevier
Abstract We construct Absorbing Boundary Conditions (ABCs) for the convected Helmholtz
equation that are easy to implement in a Hybridizable Discontinuous Galerkin (HDG) …

A fast multipole boundary element method for half-space acoustic problems in a subsonic uniform flow

X Liu, H Wu, R Sun, W Jiang - Engineering Analysis with Boundary …, 2022 - Elsevier
This paper presents a fast multipole boundary element method (FMBEM) for half-space
acoustic problems in a subsonic uniform flow. First, the fundamental solution, ie, Green's …

An integral formulation for wave propagation on weakly non-uniform potential flows

S Mancini, RJ Astley, S Sinayoko, G Gabard… - Journal of Sound and …, 2016 - Elsevier
An integral formulation for acoustic radiation in moving flows is presented. It is based on a
potential formulation for acoustic radiation on weakly non-uniform subsonic mean flows. This …

A fast multipole boundary element method for three‐dimensional acoustic problems in a subsonic uniform flow

X Liu, H Wu, W Jiang, R Sun - International Journal for …, 2021 - Wiley Online Library
A fast multipole boundary element method (FMBEM) in a subsonic uniform flow is presented.
It is based on the boundary integral equation (BIE) in a subsonic uniform flow. The …

Boundary element and finite element coupling for aeroacoustics simulations

N Balin, F Casenave, F Dubois, E Duceau… - Journal of …, 2015 - Elsevier
We consider the scattering of acoustic perturbations in the presence of a flow. We suppose
that the space can be split into a zone where the flow is uniform and a zone where the flow is …

Stable and efficient FEM-BEM coupling with OSRC regularisation for acoustic wave transmission

E van't Wout - Journal of Computational Physics, 2022 - Elsevier
The finite element method (FEM) and the boundary element method (BEM) can numerically
solve the Helmholtz system for acoustic wave propagation. When an object with …