Numerical modelling of sound propagation in rooms bounded by walls with rectangular-shaped irregularities and frequency-dependent impedance

Rabisse, Kévin; Ducourneau, Joël; Faiz, Adil; Trompette, Nicolas

doi:10.1016/j.jsv.2018.08.059

Cited by 12 publications

(8 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…A wide variety of numerical methods are available for timedomain simulations: finite-difference time-domain (FDTD) (Sakamoto, 2007;Kowalczyk and van Walstijn, 2008;Sakamoto et al, 2008;Kowalczyk and van Walstijn, 2011;Hamilton and Bilbao, 2017;Toyoda and Eto, 2019;Cingolani et al, 2021;Toyoda and Sakayoshi, 2021) or finite-volume timedomain (FVTD) methods (Bilbao, 2013;Bilbao et al, 2016), time-domain BEM (TD-BEM) (Hargreaves and Cox, 2008), time-domain FEM (TD-FEM) (Okuzono et al, 2019;Yoshida et al, 2022), time-domain discontinuous Galerkin FEM (DG-FEM) (Simonaho et al, 2012;Wang et al, 2019;Wang and Hornikx, 2020;Pind et al, 2021), time-domain spectral element method (TD-SEM) (Pind et al, 2019), pseudospectral timedomain (PSTD) method (Hornikx et al, 2015;Hornikx et al, 2016), and adaptive rectangular decomposition (ARD) method (Mehra et al, 2012;Morales et al, 2015;Rabisse et al, 2019). They respectively offer several benefits in terms of ease of coding and applicability of complex geometries and so on according to fundamental algorithms of numerical methods.…”

Section: Introductionmentioning

confidence: 99%

High potential of small-room acoustic modeling with 3D time-domain finite element method

Okuzono¹,

Yoshida²

2022

Front. Built Environ.

View full text Add to dashboard Cite

Applicability of wave-based acoustics simulation methods in the time domain has increased markedly for performing room-acoustics simulation. They can incorporate sound absorber effects appropriately with a local-reaction frequency-dependent impedance boundary condition and an extended-reaction model. However, their accuracy, efficiency and practicality against a standard frequency-domain solver in 3D room acoustics simulation are still not known well. This paper describes a performance examination of a recently developed time-domain FEM (TD-FEM) for small-room acoustics simulation. This report first describes the significantly higher efficiency of TD-FEM against a frequency-domain FEM (FD-FEM) via acoustics simulation in a small cubic room and a small meeting room, including two porous-type sound absorbers and a resonant-type sound absorber. Those sound absorbers are modeled with local-reaction frequency-dependent impedance boundary conditions and an extended-reaction model. Then, the practicality of time-domain FEM is demonstrated further by simulating the room impulse response of the meeting room under various sound absorber configurations, including the frequency component up to 6 kHz. Results demonstrated the high potential and computational benefit of time-domain FEM as a 3D small room acoustics prediction tool.

show abstract

Section: Introductionmentioning

confidence: 99%

High potential of small-room acoustic modeling with 3D time-domain finite element method

Okuzono¹,

Yoshida²

2022

Front. Built Environ.

View full text Add to dashboard Cite

show abstract

“…For frequency-domain room acoustics simulation, FEM [6][7][8][9] and the boundary element method [10,11] are standard choices because they can model various sound absorbers more easily than time-domain methods can. In contrast, with the capability of obtaining the impulse response with a single computational run, the following time-domain room acoustic simulations have been developed: the finite-difference time-domain method [12][13][14][15][16], the time-domain FEM [3,[17][18][19], the finite-volume time-domain method [20,21], the pseudospectral time-domain method [22,23], the discontinuous Galerkin FEM [24][25][26][27], and the adaptive rectangular decomposition method [28,29]. However, acoustics simulation in a real-sized room at high frequencies must address analytical models with vast degrees of freedom (DOFs).…”

Section: Introduction 1backgroundmentioning

confidence: 99%

On the Robustness and Efficiency of the Plane-Wave-Enriched FEM with Variable q-Approach on the 2D Room Acoustics Problem

2022

View full text Add to dashboard Cite

Partition of unity finite element method with plane wave enrichment (PW-FEM) uses a shape function with a set of plane waves propagating in various directions. For room acoustic simulations in a frequency domain, PW-FEM can be an efficient wave-based prediction method, but its practical applications and especially its robustness must be studied further. This study elucidates PW-FEM robustness via 2D real-scale office room problems including rib-type acoustic diffusers. We also demonstrate PW-FEM performance using a sparse direct solver and a high-order Gauss–Legendre rule with a recently developed rule for ascertaining the number of integration points against the classical linear and quadratic FEMs. Numerical experiments investigating mesh size and room geometrical complexity effects on the robustness of PW-FEM demonstrated that PW-FEM becomes more robust at wide bands when using a mesh in which the maximum element size maintains a comparable value to the wavelength of the upper-limit frequency. Moreover, PW-FEM becomes unstable with lower spatial resolution mesh, especially for rooms with complex shape. Comparisons of accuracies and computational costs of linear and quadratic FEM revealed that PW-FEM requires twice the computational time of the quadratic FEM with a mesh having spatial resolution of six elements per wavelength, but it is highly accurate at wide bands with lower memory and with markedly fewer degrees of freedom. As an additional benefit of PW-FEM, the impulse response waveform of quadratic FEM in a time domain was found to deteriorate over time, but the PW-FEM waveform can maintain accurate waveforms over a long time.

show abstract

“…Generally, wave propagation types can be examined in different ways. These are: mechanically, acoustically and electromagnetically [1][2][3][4][5][6][7][8][9]. This work will focus on acoustic waves propagation.…”

Section: Introductionmentioning

confidence: 99%

“…In the study, he evaluated the ability of the Transmission Line Matrix method to model sound scattering by cylindrical scatterers. Rabisse [2] simulated sound propagation in a confined environment with the presence of geometrical relief on the room surfaces by combining the Adaptive Rectangular Decomposition method and the Finite-Difference Time-Domain method. Duan [3] proposed an equivalent source formulation of Closed Virtual Impedance Surface (CVIS) and calculated the radiated SPL of a spherical shell in shallow and deep sea.…”

Section: Introductionmentioning

confidence: 99%

Sound propagation above a finite impedance plane by applying the equivalent source method

Cong-jin¹,

Jing²

2021

J. vibroeng.

View full text Add to dashboard Cite

This paper studies the problem of sound propagation above a finite impedance plane. For this purpose, a spherical wave based half-space transfer function with velocity is derived and then is applied in the equivalent source method (ESM) to consider the influence of reflections caused by the finite impedance plane. With the half-space transfer function matching the surface velocity to the equivalent sources, the ESM is applied to estimate the sound filed above a finite impedance plane. Through two numerical simulation experiments, in which two vibrating objects, e.g., an oscillating sphere and a simply supported plate, are respectively used, the proposed model is examined. The results validate that the proposed model is feasible and effective to estimate the sound field above a finite impedance plane.

show abstract

Numerical modelling of sound propagation in rooms bounded by walls with rectangular-shaped irregularities and frequency-dependent impedance

Cited by 12 publications

References 20 publications

High potential of small-room acoustic modeling with 3D time-domain finite element method

High potential of small-room acoustic modeling with 3D time-domain finite element method

On the Robustness and Efficiency of the Plane-Wave-Enriched FEM with Variable q-Approach on the 2D Room Acoustics Problem

Sound propagation above a finite impedance plane by applying the equivalent source method

Contact Info

Product

Resources

About