Hybrid Fourier pseudospectral/discontinuous Galerkin time-domain method for arbitrary boundary conditions

R. Pagan Munoz; M.C.J. Hornikx

doi:10.1121/1.4988418

Hybrid Fourier pseudospectral/discontinuous Galerkin time-domain method for arbitrary boundary conditions

R. Pagan Munoz, M.C.J. Hornikx

Building Acoustics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic

Abstract

The wave-based Fourier Pseudospectral time-domain (Fourier-PSTD) method was shown to be an effective way of modeling outdoor acoustic propagation problems as described by the linearized Euler equations (LEE), but is limited to real-valued frequency independent boundary conditions and predominantly staircase-like boundary shapes. A hybrid modeling approach was recently presented to solve the LEE, coupling Fourier-PSTD with the nodal discontinuous Galerkin (DG) time domain method. The hybrid approach allows the computation of complex geometries by using the benefits of the DG methodology at the boundaries while keeping Fourier-PSTD in the bulk of the domain. This paper presents the implementation of arbitrary boundary conditions in the novel methodology, for instance, frequency dependent boundaries. The paper includes an application case of sound propagation for an urban scenario.

Original language	English
Title of host publication	173rd Meeting of the Acoustical Society of America and the 8th Forum Acusticum
Place of Publication	Boston, Massachusetts
Publisher	Acoustical Society of America
Pages	3809-3809
Volume	141
ISBN (Print)	0001-4966
DOIs	https://doi.org/10.1121/1.4988418
Publication status	Published - Jun 2017
Event	173rd Meeting of the Acoustical Society of America and the 8th Forum Acusticum (Acoustics2017), 25-29 June 2017, Boston, USA - Boston, United States Duration: 25 Jun 2017 → 29 Jun 2017 http://acousticalsociety.org/content/acoustics-17-boston

Conference

Conference	173rd Meeting of the Acoustical Society of America and the 8th Forum Acusticum (Acoustics2017), 25-29 June 2017, Boston, USA
Abbreviated title	Acoustics'17
Country/Territory	United States
City	Boston
Period	25/06/17 → 29/06/17
Internet address	http://acousticalsociety.org/content/acoustics-17-boston

Keywords

Boundary value problems
Sound propagation
Linear Euler equations
Acoustic model
Pseudospectral time-domain method
Discontinuous Galerkin

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10.1121/1.4988418

Cite this

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title = "Hybrid Fourier pseudospectral/discontinuous Galerkin time-domain method for arbitrary boundary conditions",

abstract = "The wave-based Fourier Pseudospectral time-domain (Fourier-PSTD) method was shown to be an effective way of modeling outdoor acoustic propagation problems as described by the linearized Euler equations (LEE), but is limited to real-valued frequency independent boundary conditions and predominantly staircase-like boundary shapes. A hybrid modeling approach was recently presented to solve the LEE, coupling Fourier-PSTD with the nodal discontinuous Galerkin (DG) time domain method. The hybrid approach allows the computation of complex geometries by using the benefits of the DG methodology at the boundaries while keeping Fourier-PSTD in the bulk of the domain. This paper presents the implementation of arbitrary boundary conditions in the novel methodology, for instance, frequency dependent boundaries. The paper includes an application case of sound propagation for an urban scenario.",

keywords = "Boundary value problems, Sound propagation, Linear Euler equations, Acoustic model, Pseudospectral time-domain method, Discontinuous Galerkin",

author = "{Pagan Munoz}, R. and M.C.J. Hornikx",

year = "2017",

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doi = "10.1121/1.4988418",

language = "English",

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volume = "141",

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booktitle = "173rd Meeting of the Acoustical Society of America and the 8th Forum Acusticum",

publisher = "Acoustical Society of America",

address = "United States",

note = "173rd Meeting of the Acoustical Society of America and the 8th Forum Acusticum (Acoustics2017), 25-29 June 2017, Boston, USA, Acoustics'17 ; Conference date: 25-06-2017 Through 29-06-2017",

url = "http://acousticalsociety.org/content/acoustics-17-boston",

}

Pagan Munoz, R & Hornikx, MCJ 2017, Hybrid Fourier pseudospectral/discontinuous Galerkin time-domain method for arbitrary boundary conditions. in 173rd Meeting of the Acoustical Society of America and the 8th Forum Acusticum. vol. 141, Acoustical Society of America, Boston, Massachusetts, pp. 3809-3809, 173rd Meeting of the Acoustical Society of America and the 8th Forum Acusticum (Acoustics2017), 25-29 June 2017, Boston, USA, Boston, Massachusetts, United States, 25/06/17. https://doi.org/10.1121/1.4988418

Hybrid Fourier pseudospectral/discontinuous Galerkin time-domain method for arbitrary boundary conditions. / Pagan Munoz, R.; Hornikx, M.C.J.
173rd Meeting of the Acoustical Society of America and the 8th Forum Acusticum. Vol. 141 Boston, Massachusetts: Acoustical Society of America, 2017. p. 3809-3809.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic

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N2 - The wave-based Fourier Pseudospectral time-domain (Fourier-PSTD) method was shown to be an effective way of modeling outdoor acoustic propagation problems as described by the linearized Euler equations (LEE), but is limited to real-valued frequency independent boundary conditions and predominantly staircase-like boundary shapes. A hybrid modeling approach was recently presented to solve the LEE, coupling Fourier-PSTD with the nodal discontinuous Galerkin (DG) time domain method. The hybrid approach allows the computation of complex geometries by using the benefits of the DG methodology at the boundaries while keeping Fourier-PSTD in the bulk of the domain. This paper presents the implementation of arbitrary boundary conditions in the novel methodology, for instance, frequency dependent boundaries. The paper includes an application case of sound propagation for an urban scenario.

AB - The wave-based Fourier Pseudospectral time-domain (Fourier-PSTD) method was shown to be an effective way of modeling outdoor acoustic propagation problems as described by the linearized Euler equations (LEE), but is limited to real-valued frequency independent boundary conditions and predominantly staircase-like boundary shapes. A hybrid modeling approach was recently presented to solve the LEE, coupling Fourier-PSTD with the nodal discontinuous Galerkin (DG) time domain method. The hybrid approach allows the computation of complex geometries by using the benefits of the DG methodology at the boundaries while keeping Fourier-PSTD in the bulk of the domain. This paper presents the implementation of arbitrary boundary conditions in the novel methodology, for instance, frequency dependent boundaries. The paper includes an application case of sound propagation for an urban scenario.

KW - Boundary value problems

KW - Sound propagation

KW - Linear Euler equations

KW - Acoustic model

KW - Pseudospectral time-domain method

KW - Discontinuous Galerkin

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DO - 10.1121/1.4988418

M3 - Conference contribution

SN - 0001-4966

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BT - 173rd Meeting of the Acoustical Society of America and the 8th Forum Acusticum

PB - Acoustical Society of America

CY - Boston, Massachusetts

T2 - 173rd Meeting of the Acoustical Society of America and the 8th Forum Acusticum (Acoustics2017), 25-29 June 2017, Boston, USA

Y2 - 25 June 2017 through 29 June 2017

ER -

Hybrid Fourier pseudospectral/discontinuous Galerkin time-domain method for arbitrary boundary conditions

Abstract

Conference

Keywords

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