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Numerically solving the biot equations for sound absorbing materials using a wave expansion method
KTH, School of Engineering Sciences (SCI), Aeronautical and Vehicle Engineering. KTH, School of Engineering Sciences (SCI), Centres, VinnExcellence Center for ECO2 Vehicle design.ORCID iD: 0000-0003-0176-5358
Université du Maine, Laboratoire d'Acoustique de l'Université du Maine, France..
Université du Maine, Laboratoire d'Acoustique de l'Université du Maine, France..ORCID iD: 0000-0002-1527-4261
2018 (English)In: 47th International Congress and Exposition on Noise Control Engineering, INTER-NOISE, Institute of Noise Control Engineering , 2018Conference paper, Published paper (Refereed)
Abstract [en]

Poroelastic materials are often used in noise control applications to dissipate acoustic waves through viscous, thermal and structural effects. The prediction of sound propagation in such materials is therefore of practical interest for many engineering applications. This propagation may be described by the Biot equations. In this paper, a numerical approach known as a wave expansion method is developed to solve the Biot equations. A wave expansion method uses fundamental solutions of the wave operator and so accurate solutions to linearised propagation equations may be obtained with only two-to-three points per wavelength. The method is also robust to meshing and could be implemented in a meshless manner. These characteristics make it well suited to examining practical sound absorption applications. The method is applied to a benchmark problem and the results are compared to the analytical solution. The results are found to behave consistently at mid-to-high frequencies, but there is an increasing error due to ill-conditioning at low frequencies. 

Place, publisher, year, edition, pages
Institute of Noise Control Engineering , 2018.
Keywords [en]
Porous material, Biot theory, wave expansion method, wave propagation, wave-based method
National Category
Fluid Mechanics and Acoustics Other Materials Engineering
Identifiers
URN: urn:nbn:se:kth:diva-228979Scopus ID: 2-s2.0-85059392076OAI: oai:DiVA.org:kth-228979DiVA, id: diva2:1211281
Conference
47th International Congress and Exposition on Noise Control Engineering: Impact of Noise Control Engineering, INTER-NOISE 2018; Marriott Magnificent Mile DowntownChicago; United States; 26 August 2018 through 29 August 2018
Note

QC 20180814

Available from: 2018-05-30 Created: 2018-05-30 Last updated: 2019-06-11Bibliographically approved

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