A Transient Boundary Element Method for Acoustic Scattering from Mixed Regular and Thin Rigid Bodies

Hargreaves, Jonathan A.; Cox, Trevor J.

doi:10.3813/aaa.918196

Cited by 7 publications

(3 citation statements)

References 24 publications

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“…An approach equivalent to the Burton-Miller method has been applied for both scalar acoustic problems [43] and vector electromagnetic problems [44] and was shown to be effective, though instability may still arise due to discretisation error and is more likely when lightly-damped external features are present [45]. Chappell et al [46] analysed these schemes using a similar technique to that which was used to analyse frequency domain formulations, but the analysis in [43] focuses instead on the trapping of energy in the fictitious internal cavity.…”

Section: Non-uniquenessmentioning

confidence: 99%

The Wave-Matching Boundary Integral Equation — An energy approach to Galerkin BEM for acoustic wave propagation problems

Hargreaves

Lam

2019

Wave Motion

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Section: Non-uniquenessmentioning

confidence: 99%

The Wave-Matching Boundary Integral Equation — An energy approach to Galerkin BEM for acoustic wave propagation problems

Hargreaves

Lam

2019

Wave Motion

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“…These boundary surfaces can be categorized as "thin shapes", where the thickness in one direction is much smaller than the others. It is likely that the instabilities are due to "thinshape breakdown" difficulties, as discussed by Hargreaves and Cox [23] for transient boundary element analyses. Since the length-to-thickness ratio is smaller for the cylinder (0.015) than for the plate (0.058), numerical solutions for the cylinder are expected to be less stable than those for the plate, and, indeed, the cylinder becomes unstable for c∆t/L ≈ 0.4 while the plate…”

Section: Discussion Of Stabilitymentioning

confidence: 99%

Transient finite element/equivalent sources using direct coupling and treating the acoustic coupling matrix as sparse

Fahnline

Shepherd

2017

The Journal of the Acoustical Society of America

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Transient structural-acoustic problems can be solved using time stepping procedures with the structure and fluid modeled using finite elements and equivalent sources, respectively. Limitations on the time step size for stable solutions have led to the current popularity of iterative coupling to enforce the boundary conditions at the fluid-structure interface, which also helps to alleviate difficulties caused by the fully populated acoustic coupling matrix. The research presented here examines a monolithic approach using a stabilized equivalent source formulation where the acoustic coupling matrix is either fully diagonal or treated as sparse. In theory, the matrix should be sparse because it relates nodal velocities to nodal acoustic pressure forces during a single time step, and the pressure waves can only travel a distance equal to the sound speed multiplied by the time step. The numerical results demonstrate that for the chosen example problems accurate results are obtained for either diagonal coupling matrices or with a large percentage of the terms set to zero. It is also demonstrated that the formulation adapts well to parallel processing environments and that the times associated with the equivalent source computations are proportional to the number of processors.

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“…The boundary element method (BEM) is derived through the discretisation of an integral equation that is mathematically equivalent to the original partial differential equation. It is used mainly in applications such as the sound output of a loudspeaker, the noise from a radiating source such as an engine and the interior acoustic modes of an enclosure (Hargreaves and Cox 2010).…”

Section: Simulating Acoustic Phenomenamentioning

confidence: 99%

Performance-Based Design Approach for Tailored Acoustic Surfaces

Giglio

Paoletti

Zheliazkova

2019

Digital Transformation of the Design, Construction and Management Processes of the Built Environment

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The acoustics of architecture has a large influence on the physical and psychological state of people, impacting on their communication, concentration and behaviour. Nevertheless, the sound issues of the interior of common spaces are often faced in the last stage of the design process, as an accurate acoustic design requires a high level of expertise. Owners, companies, public administration, and so on face this issue by selecting off-the-shelf acoustic panels or furniture, which might not always respond to the acoustic requirements, specific for each space. This leads to unsatisfying acoustic conditions, consequently increasing the initial investment. Nowadays, a new awareness on the topic of architectural acoustics design has pushed towards finding new integrated methodologies able to deliver tailored solutions for the design with sound, which embed performance criteria early in the design phase by means of simulation and computational techniques. This paper describes a workflow developed in the frame of the research project: "EcoAcustica. Sustainable and innovative surfaces for adaptive acoustics", aimed at creating acoustic surfaces and customised to improve the interior acoustics in a global geometry scale. The design of the new ABC Department Digital Fabrication Lab at Politecnico di Milano is used as a case study for the proposed methodology.

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A Transient Boundary Element Method for Acoustic Scattering from Mixed Regular and Thin Rigid Bodies

Cited by 7 publications

References 24 publications

The Wave-Matching Boundary Integral Equation — An energy approach to Galerkin BEM for acoustic wave propagation problems

The Wave-Matching Boundary Integral Equation — An energy approach to Galerkin BEM for acoustic wave propagation problems

Transient finite element/equivalent sources using direct coupling and treating the acoustic coupling matrix as sparse

Performance-Based Design Approach for Tailored Acoustic Surfaces

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