High order methods for acoustic scattering: Coupling farfield expansions ABC with deferred-correction methods

Arbitrary high order numerical methods for time-harmonic acoustic scattering problems originally defined on unbounded domains are constructed. This is done by coupling recently developed high order local absorbing boundary conditions (ABCs) with finite difference methods for the Helmholtz equation....

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Detalles Bibliográficos
Autores: Villamizar, Vianey, Grundvig, Dane, Rojas, Otilio, Acosta, Sebastian
Tipo de recurso: artículo
Fecha de publicación:2020
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/345928
Acceso en línea:https://hdl.handle.net/2117/345928
https://dx.doi.org/10.1016/j.wavemoti.2020.102529
Access Level:acceso abierto
Palabra clave:High performance computing
Acoustic scattering
High order absorbing boundary conditions
Helmholtz equation
High order numerical methods
Deferred-correction methods
Càlcul intensiu (Informàtica)
Helmholtz, Equació de
Àrees temàtiques de la UPC::Informàtica::Aplicacions de la informàtica::Aplicacions informàtiques a la física i l‘enginyeria
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spelling High order methods for acoustic scattering: Coupling farfield expansions ABC with deferred-correction methodsVillamizar, VianeyGrundvig, DaneRojas, OtilioAcosta, SebastianHigh performance computingAcoustic scatteringHigh order absorbing boundary conditionsHelmholtz equationHigh order numerical methodsDeferred-correction methodsCàlcul intensiu (Informàtica)Helmholtz, Equació deÀrees temàtiques de la UPC::Informàtica::Aplicacions de la informàtica::Aplicacions informàtiques a la física i l‘enginyeriaArbitrary high order numerical methods for time-harmonic acoustic scattering problems originally defined on unbounded domains are constructed. This is done by coupling recently developed high order local absorbing boundary conditions (ABCs) with finite difference methods for the Helmholtz equation. These ABCs are based on exact representations of the outgoing waves by means of farfield expansions. The finite difference methods, which are constructed from a deferred-correction (DC) technique, approximate the Helmholtz equation and the ABCs, with the appropriate number of terms, to any desired order. As a result, high order numerical methods with an overall order of convergence equal to the order of the DC schemes are obtained. A detailed construction of these DC finite difference schemes is presented. Additionally, a rigorous proof of the consistency of the DC schemes with the Helmholtz equation and the ABCs in polar coordinates is also given. The results of several numerical experiments corroborate the high order convergence of the novel method.The first and third authors acknowledge the support provided by the European Union’s Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant No 777778 (MATHROCKS), and by the Office of Research and Creative Activities (ORCA) of Brigham Young University, United States of America. The work of S. Acosta was partially supported by National Science Foundation, United States of America [grant number DMS-1712725]. O. Rojas was also partially supported by the European Union’s Horizon 2020 research and innovation programme under the ChEESE project, grant agreement No. 823844.Peer ReviewedElsevier20202020-01-0120212021-05-19journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/345928https://dx.doi.org/10.1016/j.wavemoti.2020.102529reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivs 3.0 Spainhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/3459282026-05-27T15:37:01Z
dc.title.none.fl_str_mv High order methods for acoustic scattering: Coupling farfield expansions ABC with deferred-correction methods
title High order methods for acoustic scattering: Coupling farfield expansions ABC with deferred-correction methods
spellingShingle High order methods for acoustic scattering: Coupling farfield expansions ABC with deferred-correction methods
Villamizar, Vianey
High performance computing
Acoustic scattering
High order absorbing boundary conditions
Helmholtz equation
High order numerical methods
Deferred-correction methods
Càlcul intensiu (Informàtica)
Helmholtz, Equació de
Àrees temàtiques de la UPC::Informàtica::Aplicacions de la informàtica::Aplicacions informàtiques a la física i l‘enginyeria
title_short High order methods for acoustic scattering: Coupling farfield expansions ABC with deferred-correction methods
title_full High order methods for acoustic scattering: Coupling farfield expansions ABC with deferred-correction methods
title_fullStr High order methods for acoustic scattering: Coupling farfield expansions ABC with deferred-correction methods
title_full_unstemmed High order methods for acoustic scattering: Coupling farfield expansions ABC with deferred-correction methods
title_sort High order methods for acoustic scattering: Coupling farfield expansions ABC with deferred-correction methods
dc.creator.none.fl_str_mv Villamizar, Vianey
Grundvig, Dane
Rojas, Otilio
Acosta, Sebastian
author Villamizar, Vianey
author_facet Villamizar, Vianey
Grundvig, Dane
Rojas, Otilio
Acosta, Sebastian
author_role author
author2 Grundvig, Dane
Rojas, Otilio
Acosta, Sebastian
author2_role author
author
author
dc.subject.none.fl_str_mv High performance computing
Acoustic scattering
High order absorbing boundary conditions
Helmholtz equation
High order numerical methods
Deferred-correction methods
Càlcul intensiu (Informàtica)
Helmholtz, Equació de
Àrees temàtiques de la UPC::Informàtica::Aplicacions de la informàtica::Aplicacions informàtiques a la física i l‘enginyeria
topic High performance computing
Acoustic scattering
High order absorbing boundary conditions
Helmholtz equation
High order numerical methods
Deferred-correction methods
Càlcul intensiu (Informàtica)
Helmholtz, Equació de
Àrees temàtiques de la UPC::Informàtica::Aplicacions de la informàtica::Aplicacions informàtiques a la física i l‘enginyeria
description Arbitrary high order numerical methods for time-harmonic acoustic scattering problems originally defined on unbounded domains are constructed. This is done by coupling recently developed high order local absorbing boundary conditions (ABCs) with finite difference methods for the Helmholtz equation. These ABCs are based on exact representations of the outgoing waves by means of farfield expansions. The finite difference methods, which are constructed from a deferred-correction (DC) technique, approximate the Helmholtz equation and the ABCs, with the appropriate number of terms, to any desired order. As a result, high order numerical methods with an overall order of convergence equal to the order of the DC schemes are obtained. A detailed construction of these DC finite difference schemes is presented. Additionally, a rigorous proof of the consistency of the DC schemes with the Helmholtz equation and the ABCs in polar coordinates is also given. The results of several numerical experiments corroborate the high order convergence of the novel method.
publishDate 2020
dc.date.none.fl_str_mv 2020
2020-01-01
2021
2021-05-19
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/345928
https://dx.doi.org/10.1016/j.wavemoti.2020.102529
url https://hdl.handle.net/2117/345928
https://dx.doi.org/10.1016/j.wavemoti.2020.102529
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.300719

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