Room acoustics modelling in the time-domain with the nodal discontinuous Galerkin method

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To solve the linear acoustic equations for room acoustic purposes, the performance of the time-domain nodal discontinuous Galerkin (DG) method is evaluated. A nodal DG method is used for the evaluation of the spatial derivatives, and for the time-integration an explicit multi-stage Runge-Kutta method is adopted. The scheme supports a high order approximation on unstructured meshes. To model frequency-independent real-valued impedance boundary conditions, a formulation based on the plane wave reflection coefficient is proposed. Semi-discrete stability of the scheme is analyzed using the energy method. The performance of the DG method is evaluated for four three-dimensional configurations. The first two cases concern sound propagations in free field and over a flat impedance ground surface. Results show that the solution converges with increasing DG polynomial order and the accuracy of the impedance boundary condition is independent on the incidence angle. The third configuration is a cuboid room with rigid boundaries, for which an analytical solution serves as the reference solution. Finally, DG results for a real room scenario are compared with experimental results. For both room scenarios, results show good agreements.
Originele taal-2Engels
Pagina's (van-tot)2650–2663
Aantal pagina's14
TijdschriftJournal of the Acoustical Society of America
Volume145
Nummer van het tijdschrift4
DOI's
StatusGepubliceerd - 1 apr 2019

Vingerafdruk

Galerkin method
rooms
acoustics
impedance
boundary conditions
Runge-Kutta method
energy methods
wave reflection
sound propagation
configurations
mesh
polynomials
plane waves
incidence
reflectance
formulations
Modeling
Acoustics
evaluation
approximation

Bibliografische nota

Copyright (2019) Acoustical Society of America. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the Acoustical Society of America.

Citeer dit

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title = "Room acoustics modelling in the time-domain with the nodal discontinuous Galerkin method",
abstract = "To solve the linear acoustic equations for room acoustic purposes, the performance of the time-domain nodal discontinuous Galerkin (DG) method is evaluated. A nodal DG method is used for the evaluation of the spatial derivatives, and for the time-integration an explicit multi-stage Runge-Kutta method is adopted. The scheme supports a high order approximation on unstructured meshes. To model frequency-independent real-valued impedance boundary conditions, a formulation based on the plane wave reflection coefficient is proposed. Semi-discrete stability of the scheme is analyzed using the energy method. The performance of the DG method is evaluated for four three-dimensional configurations. The first two cases concern sound propagations in free field and over a flat impedance ground surface. Results show that the solution converges with increasing DG polynomial order and the accuracy of the impedance boundary condition is independent on the incidence angle. The third configuration is a cuboid room with rigid boundaries, for which an analytical solution serves as the reference solution. Finally, DG results for a real room scenario are compared with experimental results. For both room scenarios, results show good agreements.",
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Room acoustics modelling in the time-domain with the nodal discontinuous Galerkin method. / Wang, Huiqing (Corresponding author); Sihar, Indra; Pagan Munoz, Raul; Hornikx, Maarten.

In: Journal of the Acoustical Society of America, Vol. 145, Nr. 4, 01.04.2019, blz. 2650–2663.

Onderzoeksoutput: Bijdrage aan tijdschriftTijdschriftartikelAcademicpeer review

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