Time-domain extended-reaction microperforated panel sound absorber modeling for acoustics simulation by finite element method

For precise wave-based room acoustics modeling, an accurate extended-reaction (ER) sound absorber model must be formulated to assess frequency and incident-angle dependences of a sound absorber. Two novel efficient time-marching schemes with implicit time-domain FEM (TD-FEM) are presented to model t...

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Bibliographic Details
Published inAcoustical Science and Technology Vol. 45; no. 2; pp. 57 - 68
Main Authors Yoshida, Takumi, Okuzono, Takeshi, Sakagami, Kimihiro
Format Journal Article
LanguageEnglish
Published Tokyo ACOUSTICAL SOCIETY OF JAPAN 01.03.2024
Japan Science and Technology Agency
Subjects
Absorbers
Acoustics
Architectural acoustics
Boundary conditions
Differential equations
Extended reaction
Finite element method
Impedance
Mathematical models
Microperforated panel absorber
Modelling
Solvers
Sound transmission
Time domain analysis
Time-domain FEM
Wave-based room-acoustics simulation
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Summary:For precise wave-based room acoustics modeling, an accurate extended-reaction (ER) sound absorber model must be formulated to assess frequency and incident-angle dependences of a sound absorber. Two novel efficient time-marching schemes with implicit time-domain FEM (TD-FEM) are presented to model the extended reacting boundary of microperforated panel (MPP) sound absorbers. Generally, MPP absorbers (MPPAs) have an air cavity behind them, which causes ER behavior. Formulating the ER behavior of MPPAs is necessary for simulating room acoustics. A hindrance to the time-domain modeling of the ER of MPPAs is the need to treat its complex impedance on the microperforations. The proposed schemes model MPPs as interior boundary conditions and deal with the complex transfer impedance with auxiliary differential equations (ADEs), producing stable schemes after the Crank–Nicolson solver is applied. For scheme verification, the impedance tube model with a single-leaf MPPA is analyzed. Additionally, the effectiveness of the proposed schemes is assessed by practical room acoustics modeling involving MPPAs and comparison with a frequency-domain FEM solver, which can address complex transfer impedance exactly. The results show excellent performance of the proposed methods. The TD-FEMs can model room acoustics, including the MPPA, O(100) times faster while maintaining accuracy comparable to that of FD-FEM.
ISSN:1346-3969
1347-5177
DOI:10.1250/ast.e23.16