A three-dimensional acoustics model using the method of fundamental solutions
Autor(a) principal: | |
---|---|
Data de Publicação: | 2008 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10316/3951 https://doi.org/10.1016/j.enganabound.2007.10.008 |
Resumo: | The method of fundamental solutions (MFS) is formulated in the frequency domain to model the sound wave propagation in three-dimensional (3D) enclosed acoustic spaces. In this model the solution is obtained by approximation, using a linear combination of fundamental solutions for the 3D Helmholtz equation. Those solutions relate to a set of virtual sources placed over a surface placed outside the domain in order to avoid singularities. The materials coating the enclosed space surfaces can be assumed to be sound absorbent. This effect is introduced in the model by imposing impedance boundary conditions, with the impedance being defined as a function of the absorption coefficient. To impose these boundary conditions, a set of collocation points (observation points) needs to be selected along the boundary. |
id |
RCAP_d6e8752560a61d167bd0a5cd05556380 |
---|---|
oai_identifier_str |
oai:estudogeral.uc.pt:10316/3951 |
network_acronym_str |
RCAP |
network_name_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository_id_str |
7160 |
spelling |
A three-dimensional acoustics model using the method of fundamental solutionsMeshlessAcoustic modelThree-dimensional modelThe method of fundamental solutions (MFS) is formulated in the frequency domain to model the sound wave propagation in three-dimensional (3D) enclosed acoustic spaces. In this model the solution is obtained by approximation, using a linear combination of fundamental solutions for the 3D Helmholtz equation. Those solutions relate to a set of virtual sources placed over a surface placed outside the domain in order to avoid singularities. The materials coating the enclosed space surfaces can be assumed to be sound absorbent. This effect is introduced in the model by imposing impedance boundary conditions, with the impedance being defined as a function of the absorption coefficient. To impose these boundary conditions, a set of collocation points (observation points) needs to be selected along the boundary.http://www.sciencedirect.com/science/article/B6V2N-4RFD68P-4/1/6dcbbd1c4852a63daad63fa654b568cf2008info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleaplication/PDFhttp://hdl.handle.net/10316/3951http://hdl.handle.net/10316/3951https://doi.org/10.1016/j.enganabound.2007.10.008engEngineering Analysis with Boundary Elements. 32:6 (2008) 525-531António, JulietaTadeu, AntónioGodinho, Luísinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2020-11-06T16:49:02Zoai:estudogeral.uc.pt:10316/3951Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:57:10.438892Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse |
dc.title.none.fl_str_mv |
A three-dimensional acoustics model using the method of fundamental solutions |
title |
A three-dimensional acoustics model using the method of fundamental solutions |
spellingShingle |
A three-dimensional acoustics model using the method of fundamental solutions António, Julieta Meshless Acoustic model Three-dimensional model |
title_short |
A three-dimensional acoustics model using the method of fundamental solutions |
title_full |
A three-dimensional acoustics model using the method of fundamental solutions |
title_fullStr |
A three-dimensional acoustics model using the method of fundamental solutions |
title_full_unstemmed |
A three-dimensional acoustics model using the method of fundamental solutions |
title_sort |
A three-dimensional acoustics model using the method of fundamental solutions |
author |
António, Julieta |
author_facet |
António, Julieta Tadeu, António Godinho, Luís |
author_role |
author |
author2 |
Tadeu, António Godinho, Luís |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
António, Julieta Tadeu, António Godinho, Luís |
dc.subject.por.fl_str_mv |
Meshless Acoustic model Three-dimensional model |
topic |
Meshless Acoustic model Three-dimensional model |
description |
The method of fundamental solutions (MFS) is formulated in the frequency domain to model the sound wave propagation in three-dimensional (3D) enclosed acoustic spaces. In this model the solution is obtained by approximation, using a linear combination of fundamental solutions for the 3D Helmholtz equation. Those solutions relate to a set of virtual sources placed over a surface placed outside the domain in order to avoid singularities. The materials coating the enclosed space surfaces can be assumed to be sound absorbent. This effect is introduced in the model by imposing impedance boundary conditions, with the impedance being defined as a function of the absorption coefficient. To impose these boundary conditions, a set of collocation points (observation points) needs to be selected along the boundary. |
publishDate |
2008 |
dc.date.none.fl_str_mv |
2008 |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/10316/3951 http://hdl.handle.net/10316/3951 https://doi.org/10.1016/j.enganabound.2007.10.008 |
url |
http://hdl.handle.net/10316/3951 https://doi.org/10.1016/j.enganabound.2007.10.008 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Engineering Analysis with Boundary Elements. 32:6 (2008) 525-531 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
aplication/PDF |
dc.source.none.fl_str_mv |
reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
instname_str |
Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
instacron_str |
RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
collection |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository.name.fl_str_mv |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
repository.mail.fl_str_mv |
|
_version_ |
1799133860097687552 |