Simulation of the Acoustic Field of a Horn Loudspeaker by the Boundary Element–rayleigh Integral Method

Kirkup, Stephen Martin; Thompson, Ambrose; Kolbrek, Bjørn; Yazdani, Javad

doi:10.1142/s0218396x12500208

Cited by 6 publications

(7 citation statements)

References 5 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…There are several references on a general review and evaluation of the methods [55,[150][151][152][153][154][155][156][157] and of software implementations [158][159][160]. The methods have been used in a range of applications: loudspeakers [38,50,51,[161][162][163][164][165][166][167][168][169][170][171][172][173][174][175][176][177][178], transducers [52,[179][180][181][182][183], hearing aid [184], diffusers [185,186], sound within or around the human body [159,[187][188][189][190], scattering by blood cells [191], e...…”

Section: The Exterior Acoustic Problemmentioning

confidence: 99%

“…Early examples of this type of problem have arisen in harbour modelling, in which the Helmholtz equation has been used to model the waves in a harbour (the cavity), which is open to the sea bounded by the coastline (the plane) [271,272]. The Boundary Element-Rayleigh Integral Method (BERIM) [169], is applicable to open cavity problems in acoustics. The interior boundary element method (Section 4.1) models the sealed interior and the Rayleigh integral method models the field exterior.…”

Section: Developments On Half-space Problemsmentioning

confidence: 99%

See 1 more Smart Citation

The Boundary Element Method in Acoustics: A Survey

Kirkup

2019

Applied Sciences

102

View full text Add to dashboard Cite

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. 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, including half-space problems and modelling the acoustic field surrounding thin screens. Current research in linking the boundary element method to other methods in order to solve coupled vibro-acoustic and aero-acoustic problems and methods for solving inverse problems via the BEM are surveyed. Applications of the BEM in each area of acoustics are referenced. The computational complexity of the problem is considered and methods for improving its general efficiency are reviewed. The significant maintenance issues of the standard exterior acoustic solution are considered, in particular the weighting parameter in combined formulations such as Burton and Miller’s equation. The commonality of the integral operators across formulations and hence the potential for development of a software library approach is emphasised.

show abstract

Section: The Exterior Acoustic Problemmentioning

confidence: 99%

Section: Developments On Half-space Problemsmentioning

confidence: 99%

The Boundary Element Method in Acoustics: A Survey

Kirkup

2019

Applied Sciences

102

View full text Add to dashboard Cite

show abstract

“…The computer codes for these methods are developed in FORTRAN by Stephen Kirkup [33,15], but for the current application, the BEM code has been implemented in C++ with OpenMP parallelization. The run time for am esh of 858 elements wasa bout 20 minutes, compared to 10 minutes for the Matlab implementation of MMM (for 256 modes and 100 duct elements).…”

Section: Aw Ord About Efficiencymentioning

confidence: 99%

“…Fort he baffled horn, the Boundary Element Rayleigh Integral Method (BERIM) [ 15] wasu sed. BERIM combines the Boundary Element Method for the interior of the horn with aRayleigh integral formulation for the exterior.This method is ideal for simulating horns mounted in large/infinite baffles.…”

Section: Comparisonsmentioning

confidence: 99%

See 1 more Smart Citation

Using Mode Matching Methods and Edge Diffraction in Horn Loudspeaker Simulation

Kolbrek¹,

Svensson²

2015

Acta Acustica united with Acustica

Self Cite

View full text Add to dashboard Cite

Amethod for simulating an expanding duct, likeahorn, by mode matching techniques is described. Forahorn in an infinite baffle, the modal radiation impedance and radiated pressure can be found from known relations. For ahorn equipped with asmall baffleorflange, however, diffraction from the edges has to be taken into account. This paper investigates howa ne dge diffraction term can be included, and its effect on the throat and radiation impedances and radiated pressure. Measurement results are presented, and are shown to be in good agreement with the simulations, both for ahorn in alarge baffle, and for ahorn with asmall flange.

show abstract

Comparisons between direct interpolation and reciprocity techniques of the boundary element method for solving two-dimensional Helmholtz problems

Balista,

Loeffler,

Lara

et al. 2023

View full text Add to dashboard Cite

PurposeThis work compares the performance of the three boundary element techniques for solving Helmholtz problems: dual reciprocity, multiple reciprocity and direct interpolation. All techniques transform domain integrals into boundary integrals, despite using different principles to reach this purpose.Design/methodology/approachComparisons here performed include the solution of eigenvalue and response by frequency scanning, analyzing many features that are not comprehensively discussed in the literature, as follows: the type of boundary conditions, suitable number of degrees of freedom, modal content, number of primitives in the multiple reciprocity method (MRM) and the requirement of internal interpolation points in techniques that use radial basis functions as dual reciprocity and direct interpolation.FindingsAmong the other aspects, this work can conclude that the solution of the eigenvalue and response problems confirmed the reasonable accuracy of the dual reciprocity boundary element method (DRBEM) only for the calculation of the first natural frequencies. Concerning the direct interpolation boundary element method (DIBEM), its interpolation characteristic allows more accessibility for solving more elaborate problems. Despite requiring a greater number of interpolating internal points, the DIBEM has presented higher-quality results for the eigenvalue and response problems. The MRM results were satisfactory in terms of accuracy just for the low range of frequencies; however, the neglected higher-order primitives impact the accuracy of the dynamic response as a whole.Originality/valueThere are safe alternatives for solving engineering stationary dynamic problems using the boundary element method (BEM), but there are no suitable comparisons between these different techniques. This paper presents the particularities and detailed comparisons approaching the accuracy of the three important BEM techniques, aiming at response and frequency evaluation, which are not found in the specialized literature.

show abstract

Simulation of the Acoustic Field of a Horn Loudspeaker by the Boundary Element–rayleigh Integral Method

Cited by 6 publications

References 5 publications

The Boundary Element Method in Acoustics: A Survey

The Boundary Element Method in Acoustics: A Survey

Using Mode Matching Methods and Edge Diffraction in Horn Loudspeaker Simulation

Comparisons between direct interpolation and reciprocity techniques of the boundary element method for solving two-dimensional Helmholtz problems

Contact Info

Product

Resources

About