Applying the diffusion equation to urban scenarios: computational analysis of the diffusion coefficient

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademic

Abstract

Prediction of sound propagation is playing a key role in the planning and design process of urban areas and during the last decades different techniques have been developed for the computation of the sound fields in cities. Among them, the diffusion equation, based on the propagation of sound energy, is a simple and attractive tool for certain scenarios where the diffuse field is predominant, such as inner city environments. The diffusion equation is a well-known and efficient method to compute sound fields in rooms with a low amount of absorption. However, this method, which includes the diffusion coefficient describing the diffusivity of the energy propagation, requires further understanding for urban environments. In this work, the diffusion coefficient has been evaluated using wave-based numerical techniques for simplified two-dimensional urban scenarios. The parameter is computed spatially from the acoustic intensity and sound energy density fields in every direction for different geometries. This paper investigates the directional components of the diffusion coefficient.
LanguageEnglish
Title of host publicationProceedings of the ICA 2019 and EAA Euroregio
Subtitle of host publication23rd International Congress on Acoustics, integrating 4th EAA Euroregio 2019
Place of PublicationAachen
PublisherICA/EAA
Pages3756-3763
Number of pages8
ISBN (Electronic)978-3-939296-15-7
StatePublished - 11 Sep 2019
Event23rd International Congress on Acoustics - Aachen, Germany
Duration: 9 Sep 201913 Sep 2019

Conference

Conference23rd International Congress on Acoustics
CountryGermany
CityAachen
Period9/09/1913/09/19

Fingerprint

diffusion coefficient
sound fields
acoustics
propagation
sound propagation
diffusivity
rooms
planning
flux density
energy
geometry
predictions

Keywords

  • Diffusion equation
  • Urban sound propagation

Cite this

Pagán Muñoz , R., Navarro Ruiz, J. M., & Hornikx, M. (2019). Applying the diffusion equation to urban scenarios: computational analysis of the diffusion coefficient. In Proceedings of the ICA 2019 and EAA Euroregio: 23rd International Congress on Acoustics, integrating 4th EAA Euroregio 2019 (pp. 3756-3763). Aachen: ICA/EAA.
Pagán Muñoz , Raúl ; Navarro Ruiz, J.M. ; Hornikx, Maarten. / Applying the diffusion equation to urban scenarios : computational analysis of the diffusion coefficient. Proceedings of the ICA 2019 and EAA Euroregio: 23rd International Congress on Acoustics, integrating 4th EAA Euroregio 2019. Aachen : ICA/EAA, 2019. pp. 3756-3763
@inproceedings{f6e230a70ef84940be84a3fd2a01ea5c,
title = "Applying the diffusion equation to urban scenarios: computational analysis of the diffusion coefficient",
abstract = "Prediction of sound propagation is playing a key role in the planning and design process of urban areas and during the last decades different techniques have been developed for the computation of the sound fields in cities. Among them, the diffusion equation, based on the propagation of sound energy, is a simple and attractive tool for certain scenarios where the diffuse field is predominant, such as inner city environments. The diffusion equation is a well-known and efficient method to compute sound fields in rooms with a low amount of absorption. However, this method, which includes the diffusion coefficient describing the diffusivity of the energy propagation, requires further understanding for urban environments. In this work, the diffusion coefficient has been evaluated using wave-based numerical techniques for simplified two-dimensional urban scenarios. The parameter is computed spatially from the acoustic intensity and sound energy density fields in every direction for different geometries. This paper investigates the directional components of the diffusion coefficient.",
keywords = "Diffusion equation, Urban sound propagation",
author = "{Pag{\'a}n Mu{\~n}oz}, Ra{\'u}l and {Navarro Ruiz}, J.M. and Maarten Hornikx",
year = "2019",
month = "9",
day = "11",
language = "English",
pages = "3756--3763",
booktitle = "Proceedings of the ICA 2019 and EAA Euroregio",
publisher = "ICA/EAA",

}

Pagán Muñoz , R, Navarro Ruiz, JM & Hornikx, M 2019, Applying the diffusion equation to urban scenarios: computational analysis of the diffusion coefficient. in Proceedings of the ICA 2019 and EAA Euroregio: 23rd International Congress on Acoustics, integrating 4th EAA Euroregio 2019. ICA/EAA, Aachen, pp. 3756-3763, 23rd International Congress on Acoustics, Aachen, Germany, 9/09/19.

Applying the diffusion equation to urban scenarios : computational analysis of the diffusion coefficient. / Pagán Muñoz , Raúl ; Navarro Ruiz, J.M.; Hornikx, Maarten.

Proceedings of the ICA 2019 and EAA Euroregio: 23rd International Congress on Acoustics, integrating 4th EAA Euroregio 2019. Aachen : ICA/EAA, 2019. p. 3756-3763.

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademic

TY - GEN

T1 - Applying the diffusion equation to urban scenarios

T2 - computational analysis of the diffusion coefficient

AU - Pagán Muñoz ,Raúl

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AU - Hornikx,Maarten

PY - 2019/9/11

Y1 - 2019/9/11

N2 - Prediction of sound propagation is playing a key role in the planning and design process of urban areas and during the last decades different techniques have been developed for the computation of the sound fields in cities. Among them, the diffusion equation, based on the propagation of sound energy, is a simple and attractive tool for certain scenarios where the diffuse field is predominant, such as inner city environments. The diffusion equation is a well-known and efficient method to compute sound fields in rooms with a low amount of absorption. However, this method, which includes the diffusion coefficient describing the diffusivity of the energy propagation, requires further understanding for urban environments. In this work, the diffusion coefficient has been evaluated using wave-based numerical techniques for simplified two-dimensional urban scenarios. The parameter is computed spatially from the acoustic intensity and sound energy density fields in every direction for different geometries. This paper investigates the directional components of the diffusion coefficient.

AB - Prediction of sound propagation is playing a key role in the planning and design process of urban areas and during the last decades different techniques have been developed for the computation of the sound fields in cities. Among them, the diffusion equation, based on the propagation of sound energy, is a simple and attractive tool for certain scenarios where the diffuse field is predominant, such as inner city environments. The diffusion equation is a well-known and efficient method to compute sound fields in rooms with a low amount of absorption. However, this method, which includes the diffusion coefficient describing the diffusivity of the energy propagation, requires further understanding for urban environments. In this work, the diffusion coefficient has been evaluated using wave-based numerical techniques for simplified two-dimensional urban scenarios. The parameter is computed spatially from the acoustic intensity and sound energy density fields in every direction for different geometries. This paper investigates the directional components of the diffusion coefficient.

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Pagán Muñoz R, Navarro Ruiz JM, Hornikx M. Applying the diffusion equation to urban scenarios: computational analysis of the diffusion coefficient. In Proceedings of the ICA 2019 and EAA Euroregio: 23rd International Congress on Acoustics, integrating 4th EAA Euroregio 2019. Aachen: ICA/EAA. 2019. p. 3756-3763.