2024 Volume 45 Issue 2 Pages 57-68
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.
