Time-domain impedance boundary condition modeling with the discontinuous Galerkin method for room acoustics simulations

Huiqing Wang (Corresponding author), Maarten C.J. Hornikx

Research output: Contribution to journalArticleAcademicpeer-review

6 Citations (Scopus)
27 Downloads (Pure)

Abstract

The time-domain nodal discontinuous Galerkin (TD-DG) method is emerging as a potential wave-based method for three-dimensional (3D) room acoustics modeling, where high-order accuracy in the low frequency range, geometrical flexibility and accurate modeling of boundary conditions are of critical importance. This paper presents a formulation of broadband time-domain impedance boundary conditions of locally-reacting surfaces in the framework of the TD-DG method. The formulation is based on the approximation of the plane-wave reflection coefficient at normal incidence in the frequency domain using a sum of template rational functions, which can be directly transformed to the time-domain. The coupling of the time-domain impedance boundary condition with the DG discretization is achieved through the characteristic waves of the upwind flux along the boundary, where a series of first-order auxiliary differential equations are time-integrated in a high-order way. To verify the performance of the formulation, various numerical tests of single reflection scenarios are shown to demonstrate the cost-efficiency and memory-efficiency of high order basis functions, among which a 3D application to an impedance boundary of rigidly-backed glass-wool baffle for room acoustic purposes is presented.
Original languageEnglish
Pages (from-to)2534-2546
Number of pages13
JournalJournal of the Acoustical Society of America
Volume147
Issue number4
DOIs
Publication statusPublished - 23 Apr 2020

Bibliographical note

Copyright (2020) 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. The following article appeared in (citation of published article) and may be found at (https://asa.scitation.org/doi/10.1121/10.0001128).

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