The Boundary Element Method in Acoustics: A Survey

@article{Kirkup2019TheBE,
  title={The Boundary Element Method in Acoustics: A Survey},
  author={S. Kirkup},
  journal={Applied Sciences},
  year={2019},
  volume={9},
  pages={1642}
}
  • S. Kirkup
  • Published 2019
  • Engineering
  • Applied Sciences
The boundary element method (BEM) in the context of acoustics or Helmholtz problems is reviewed. The basis of the BEM is initially developed for Laplace’s equation. The boundary integral equation formulations for the standard interior and exterior acoustic problems are stated and the boundary element methods are derived through collocation. It is shown how interior modal analysis can be carried out via the boundary element method. Further extensions in the BEM in acoustics are also reviewed… Expand
A Parameter Study of the Burton–Miller Formulation in the BEM Analysis of Acoustic Resonances in Exterior Configurations
The application of a boundary element technique in combination with a contour integral approach to the numerical analysis of acoustic resonances in exterior configurations is investigated in thisExpand
A weak-form meshfree coupled with infinite element method for predicting acoustic radiation
Abstract To improve the computational accuracy and eliminate the element matching in the traditional method based on the finite and infinite elements, the coupling of the meshfree weak-form methodExpand
A weak-form interpolation meshfree method for computing underwater acoustic radiation
  • Shaowei Wu, Yang Xiang, Bao Liu, Guangnian Li
  • Computer Science
  • 2021
TLDR
The results indicate the devised method is outstanding to cope with underwater acoustic radiation prediction and can achieve higher accuracy and faster convergency compared to the finite element method. Expand
Development of 3D boundary element method for the simulation of acoustic metamaterials/metasurfaces in mean flow for aerospace applications
Low-cost airlines have significantly increased air transport, thus an increase in aviation noise. Therefore, predicting aircraft noise is an important component for designing an aircraft to reduceExpand
Investigating the interactions of acoustic waves with underground structures via the boundary element method
Abstract The interactions of acoustic waves with an underground structure have been investigated in this paper. For this study, an underground tunnel with a circular cross section of radius 1.5 mExpand
Analysing the acoustic performance of a nearly-enclosed noise barrier using scale model experiments and a 2.5-D BEM approach
This paper describes a scale modelling method to measure the acoustic performance of a nearly-enclosed barrier and the corresponding predictions using an existing 2.5-D Boundary Element Method (BEM)Expand
Experimental validation and uncertainty quantification in wave-based computational room acoustics
TLDR
A comprehensive framework for experimental validation and uncertainty quantification in room acoustic simulations is proposed, but it is found that the input data uncertainty and the model form uncertainty are too high for the model to be able to predict several room acoustic parameters within just noticeable thresholds. Expand
An Introduction to Operator Preconditioning for the Fast Iterative Integral Equation Solution of Time-Harmonic Scattering Problems
The aim of this paper is to provide an introduction to the improved iterative Krylov solution of boundary integral equations for time-harmonic scattering problems arising in acoustics,Expand
A rational approximation method for solving acoustic nonlinear eigenvalue problems
We present two approximation methods for computing eigenfrequencies and eigenmodes of large-scale nonlinear eigenvalue problems resulting from boundary element method (BEM) solutions of some types ofExpand
An overlapping decomposition framework for wave propagation in heterogeneous and unbounded media: Formulation, analysis, algorithm, and simulation
TLDR
An overlapping decomposition framework is presented that is equivalent to the full-space heterogeneous-homogenous continuous model, governed by the Helmholtz equation with a spatially dependent refractive index and the RC, and a novel overlapping FEM-BEM algorithm for simulating the acoustic or electromagnetic wave propagation in two dimensions is developed. Expand
...
1
2
3
...

References

SHOWING 1-10 OF 416 REFERENCES
An investigation of boundary element methods for the exterior acoustic problem
Abstract This paper is concerned with the efficient determination of acoustic fields around arbitrary-shaped finite structures in an infinite three-dimensional acoustic medium. The boundary integralExpand
Advances in acoustic eigenvalue analysis using boundary element method
A historical and critical review of the boundary element (BE) acoustic eigenvalue analysis is presented. Since the free-space Green's functions for the Helmholtz equation, the governing differentialExpand
A NOTE ON THE CONVERGENCE OF THE DIRECT COLLOCATION BOUNDARY ELEMENT METHOD
Convergence results for acoustic boundary element formulations have mainly been presented in the mathematical and numerical literature, and the results do not seem to be widely known among acousticExpand
The computational modelling of acoustic shields by the boundary and shell element method
TLDR
A numerical method for the computation of the acoustic field surrounding a set of vibrating bodies and coupled, forced shells (or shields) is introduced through the reformulation of the Helmholtz equation as an integral equation termed the boundary and shell integral equation. Expand
Recent developments in finite element methods for structural acoustics
SummaryThe study of structural acoustics involves modeling acoustic radiation and scattering, primarily in exterior regions, coupled with elastic and structural wave propagation. This paper reviewsExpand
Computational solution of the acoustic field surrounding a baffled panel by the Rayleigh integral method
The acoustic field surrounding a bafled vibrating panel is modelled by the Rayleight integral. In this paper product integration is applied to the Rayleigh integral to derive a method that is termedExpand
Research in Computational Methods for Structural Acoustics.
Abstract : The study of structural acoustics and fluid-structure interaction involves the solution of problems of acoustic radiation and scattering, elastic and structural wave propagation, and theirExpand
Time domain boundary element method for room acoustics
This thesis is about improving the suitability of the time domain Boundary Element Method (BEM) for predicting the scattering from surface treatments used to improve the acoustics of rooms. TheExpand
Boundary element solution for periodic acoustic problems
Abstract This work shows when using the boundary element method to solve 3D acoustic scattering problems from periodic structures, the coefficient matrix can be represented as a block ToeplitzExpand
Boundary Elements in Acoustics : Advances and Applications
Contents: Governing Formulations of the BEM in Acoustics Practical Implementation Issues of Acoustic BEM Determination of Acoustic Eigenvalues by the BEM Time-Dependent 2D BE Formulations HybridExpand
...
1
2
3
4
5
...