Simulation of Sound Propagation between Two Closed Spaces Using the Method of Fundamental Solutions

Godinho, L.M.C.; Branco, F.G.; Mendes, P. Amado

doi:10.4203/ccp.88.81

Cited by 1 publication

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“…16,17 As with the BEM, the MFS is also based on the use of fundamental solutions, which are, themselves, solution of the governing equation of the problem, but not requiring the numerical and analytical integrations that need to be performed in boundary integral equation method (hence the singular or hyper-singular integrals are not evaluated). Works such as those by Godinho et al, 18 Antnio et al 19 or Godinho et al 20 have shown that, despite its simplicity, the MFS is accurate and constitutes a good tool for simulation of physical systems.…”

Section: Introductionmentioning

confidence: 99%

Efficient Model for Acoustic Attenuators using the Method of Fundamental Solutions

Costa¹,

Godinho²,

Santiago³

et al. 2018

IJAV

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In this work, the three-dimensional formulation of the Method of Fundamental Solutions (MFS) is applied to model acoustic problems in the frequency domain. This formulation is developed by making use of adequate Green's function defined by the image-source technique, reducing the discretization necessary for the definition of the numerical model. The proposed approach is applied to study the sound attenuation provided by an acoustic attenuating device, consisting of a closed acoustic space located between inlet and outlet tubes. Absorbent properties of the lining materials of the acoustic device, defined using laboratory measurements of their absorption coefficients, are incorporated into the model. The proposed model is verified against reference numerical models based on a boundary integral equation formulation. An experimental validation is also performed, demonstrating that the model adequately simulates the sound propagation under experimental conditions. Numerical applications are then presented to demonstrate the behaviour of the system under different conditions.

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Section: Introductionmentioning

confidence: 99%