Boundary‐Element Analysis

Fahnline, John B.

doi:10.1002/9781118693988.ch7

Cited by 2 publications

(1 citation statement)

References 46 publications

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“…The fluid-structure interaction model with the boundary element method modelling the acoustic domain has been developed and applied over several decades. Expansions on the general method can be found in the following works and the references therein [183,267,[280][281][282][283]. Applications include the interaction of plates with fluids [23,245,284], sandwich panels/lightweight structures [257,[261][262][263]285], sound insulation [283], screens [286], the passenger compartment of an automobile [111], hydrophones [284,287] and in seismo-acoustics [288].…”

Section: Coupled Fluid-structure Interactionmentioning

confidence: 99%

The Boundary Element Method in Acoustics: A Survey

Kirkup

2019

Applied Sciences

108

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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.

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Section: Coupled Fluid-structure Interactionmentioning

confidence: 99%

The Boundary Element Method in Acoustics: A Survey

Kirkup

2019

Applied Sciences

108

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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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Boundary‐Element Analysis

Cited by 2 publications

References 46 publications

The Boundary Element Method in Acoustics: A Survey

The Boundary Element Method in Acoustics: A Survey

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

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