Adaptive multiresolution approach for two-dimensional PDE's
Autor(a) principal: | |
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Data de Publicação: | 2003 |
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/10400.6/593 |
Resumo: | A multiresolution adaptive approach for the solution of two-dimensional partial differential equations (PDEs) is presented. This methodology is a multidimensional extension of that presented in a previous work [Comput. Methods Appl. Mech. Engrg. 191 (2002) 3909]. The method proposed is unconditionally stable, by incorporating convection differencing schemes with the TVD property, and the grid is dynamically adapted so that higher spatial resolution is automatically allocated to domain regions where strong gradients are observed. The two desired properties of any PDE solver, stability and accuracy, are therefore retained. Numerical results for four test problems are presented which serve to demonstrate the robustness and cost effectiveness of the method. |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Adaptive multiresolution approach for two-dimensional PDE'sAdaptive gridCUBISTA high-resolution schemeMultiresolutionHyperbolic equationsWaveletA multiresolution adaptive approach for the solution of two-dimensional partial differential equations (PDEs) is presented. This methodology is a multidimensional extension of that presented in a previous work [Comput. Methods Appl. Mech. Engrg. 191 (2002) 3909]. The method proposed is unconditionally stable, by incorporating convection differencing schemes with the TVD property, and the grid is dynamically adapted so that higher spatial resolution is automatically allocated to domain regions where strong gradients are observed. The two desired properties of any PDE solver, stability and accuracy, are therefore retained. Numerical results for four test problems are presented which serve to demonstrate the robustness and cost effectiveness of the method.uBibliorumSantos, J. C.Cruz, P.Alves, M. A.Oliveira, Paulo J.Magalhães, Fernão Domingos Montenegro Baptista Malheiro deMendes, Adélio Miguel Magalhães2010-04-28T10:07:14Z20032003-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.6/593enginfo: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:RCAAP2023-01-16T11:37:30ZPortal AgregadorONG |
dc.title.none.fl_str_mv |
Adaptive multiresolution approach for two-dimensional PDE's |
title |
Adaptive multiresolution approach for two-dimensional PDE's |
spellingShingle |
Adaptive multiresolution approach for two-dimensional PDE's Santos, J. C. Adaptive grid CUBISTA high-resolution scheme Multiresolution Hyperbolic equations Wavelet |
title_short |
Adaptive multiresolution approach for two-dimensional PDE's |
title_full |
Adaptive multiresolution approach for two-dimensional PDE's |
title_fullStr |
Adaptive multiresolution approach for two-dimensional PDE's |
title_full_unstemmed |
Adaptive multiresolution approach for two-dimensional PDE's |
title_sort |
Adaptive multiresolution approach for two-dimensional PDE's |
author |
Santos, J. C. |
author_facet |
Santos, J. C. Cruz, P. Alves, M. A. Oliveira, Paulo J. Magalhães, Fernão Domingos Montenegro Baptista Malheiro de Mendes, Adélio Miguel Magalhães |
author_role |
author |
author2 |
Cruz, P. Alves, M. A. Oliveira, Paulo J. Magalhães, Fernão Domingos Montenegro Baptista Malheiro de Mendes, Adélio Miguel Magalhães |
author2_role |
author author author author author |
dc.contributor.none.fl_str_mv |
uBibliorum |
dc.contributor.author.fl_str_mv |
Santos, J. C. Cruz, P. Alves, M. A. Oliveira, Paulo J. Magalhães, Fernão Domingos Montenegro Baptista Malheiro de Mendes, Adélio Miguel Magalhães |
dc.subject.por.fl_str_mv |
Adaptive grid CUBISTA high-resolution scheme Multiresolution Hyperbolic equations Wavelet |
topic |
Adaptive grid CUBISTA high-resolution scheme Multiresolution Hyperbolic equations Wavelet |
description |
A multiresolution adaptive approach for the solution of two-dimensional partial differential equations (PDEs) is presented. This methodology is a multidimensional extension of that presented in a previous work [Comput. Methods Appl. Mech. Engrg. 191 (2002) 3909]. The method proposed is unconditionally stable, by incorporating convection differencing schemes with the TVD property, and the grid is dynamically adapted so that higher spatial resolution is automatically allocated to domain regions where strong gradients are observed. The two desired properties of any PDE solver, stability and accuracy, are therefore retained. Numerical results for four test problems are presented which serve to demonstrate the robustness and cost effectiveness of the method. |
publishDate |
2003 |
dc.date.none.fl_str_mv |
2003 2003-01-01T00:00:00Z 2010-04-28T10:07:14Z |
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/10400.6/593 |
url |
http://hdl.handle.net/10400.6/593 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/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 |
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repository.mail.fl_str_mv |
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1777301755968618496 |