A Unified Approach to Finite and Boundary Element Discretization in Linear Time–Harmonic Acoustics

Marburg, Steffen

doi:10.1007/978-3-540-77448-8_1

Cited by 54 publications

(48 citation statements)

References 87 publications

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“…The reduction predicted by the MFS strongly varies with the frequency, but it seems to be, on average, below the 10 dB value predicted by Eq. (16). However, it is interesting to note that when the absorbing walls are modelled, the SPL reduction increases above this value, and that it seems to approach 10 dB as the frequency increases.…”

Section: Spl Reduction In the Presence Of A Smaller Heterogeneitymentioning

confidence: 89%

“…In these figures, the SPL reduction predicted by the proposed MFS model is plotted together with the reduction predicted by a simplified calculation based on the mass law and in Eq. (16). This simplified approach predicts that the SPL reduction provided by the separation element increases with the frequency, with a slope of 6 dB/octave.…”

Section: Spl Reduction In the Presence Of A Smaller Heterogeneitymentioning

confidence: 99%

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3D Multi-Domain MFS Analysis of Sound Pressure Level Reduction Between Connected Enclosures

Godinho¹,

Branco²,

Amado-Mendes³

2011

Archives of Acoustics

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In this paper, the authors study the 3D propagation of sound waves between two closed spaces. The separation element between the two rooms is considered to include either a small opening or a homogeneous lightweight panel, coupling the two spaces. A numerical study of this configuration is performed, trying to understand the influence of the position and geometry of this opening in the sound pressure level reduction curve at low and midfrequencies. Additionally, the coupling effect between the two acoustic spaces is analyzed, in order to better understand its importance when determining the sound pressure level reduction. Different boundary conditions are ascribed to the walls of these rooms, simulating both the completely reflecting and partially absorbing surfaces.The numerical modelling was performed using a multi-domain formulation of the Method of Fundamental Solutions (MFS). The system is composed of two coupled rooms, limited by rigid or by absorbing walls, and separated by a thin wall (tending to null thickness) with a small opening. An experimental validation of the proposed model is presented, comparing its results with those found experimentally for a reduced-scale model. It is important to note that, for such a configuration, a traditional single-domain approach using methods like the MFS or the BEM would lead to undetermined equation systems, and thus the proposed model makes use of a domain decomposition technique.

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Section: Spl Reduction In the Presence Of A Smaller Heterogeneitymentioning

confidence: 89%

Section: Spl Reduction In the Presence Of A Smaller Heterogeneitymentioning

confidence: 99%

3D Multi-Domain MFS Analysis of Sound Pressure Level Reduction Between Connected Enclosures

Godinho¹,

Branco²,

Amado-Mendes³

2011

Archives of Acoustics

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“…However, in the case of exterior acoustic problems, the situation is different due to the representation of the unbounded acoustic domain. Three families of methods are available for addressing this issue: FEM with special boundary conditions, the infinite element method (IFEM), and the boundary element method (BEM) . The use of conjugated Astley‐Leis IFEM results in frequency independent coefficient matrices giving rise to the formulation of a generalized eigenvalue problem for determining acoustic radiation modes and normal modes .…”

Section: Introductionmentioning

confidence: 99%

A greedy reduced basis scheme for multifrequency solution of structural acoustic systems

Baydoun

Voigt

Jelich

et al. 2019

Numerical Meth Engineering

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Summary The solution of frequency dependent linear systems arising from the discretization of vibro‐acoustic problems requires a significant computational effort in the case of rapidly varying responses. In this paper, we review the use of a greedy reduced basis scheme for the efficient solution in a frequency range. The reduced basis is spanned by responses of the system at certain frequencies that are chosen iteratively based on the response that is currently worst approximated in each step. The approximations at intermediate frequencies as well as the a posteriori estimations of associated errors are computed using a least squares solver. The proposed scheme is applied to the solution of an interior acoustic problem with boundary element method (BEM) and to the solution of coupled structural acoustic problems with finite element method and BEM. The computational times are compared to those of a conventional frequencywise strategy. The results illustrate the efficiency of the method.

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“…The works by Marburg and Nolte [1], Cheng and Cheng [2] and Pluymers et al [3] and the reference book by Jensen et al [4] give a good general overview of the developments in this field.…”

Section: Introductionmentioning

confidence: 99%

Sound pressure attenuation provided by a 3D rigid acoustic barrier on a building façade: the influence of its longitudinal shape

Tadeu¹,

António²,

Castro³

2012

WIT Transactions on Modelling and Simulation

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This paper models the propagation of sound in the vicinity of 3D acoustic barriers placed parallel to a building façade to mitigate the noise generated by point pressure sources. The barriers are assumed to be very thin rigid elements. The problem is solved by developing and implementing a 3D boundary element method formulation based on the normal derivative integral equation (TBEM). The TBEM is formulated in the frequency domain and the resulting hypersingular terms are computed analytically. After verifying the model against 2.5D BEM solutions, several numerical applications are described to illustrate the practical usefulness of the proposed approaches. Different longitudinal barrier geometries are simulated to evaluate the influence of this characteristic on the sound pressure level attenuation attained at the building façade. Keywords: acoustic wave propagation, 3D thin barriers, normal derivative integral equation, analytical integration of hypersingular integrals.

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A Unified Approach to Finite and Boundary Element Discretization in Linear Time–Harmonic Acoustics

Cited by 54 publications

References 87 publications

3D Multi-Domain MFS Analysis of Sound Pressure Level Reduction Between Connected Enclosures

3D Multi-Domain MFS Analysis of Sound Pressure Level Reduction Between Connected Enclosures

A greedy reduced basis scheme for multifrequency solution of structural acoustic systems

Sound pressure attenuation provided by a 3D rigid acoustic barrier on a building façade: the influence of its longitudinal shape

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