Second-order finite volume with hydrostatic reconstruction for tsunami simulation
Autor(a) principal: | |
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Data de Publicação: | 2016 |
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/10400.21/6852 |
Resumo: | Tsunami modeling commonly accepts the shallow water system as governing equations where the major difficulty is the correct treatment of the nonconservative term due to bathymetry variations. The finite volume method for solving the shallow water equations with such source terms has received great attention in the two last decades. The built-in conservation property, the capacity to correctly treat discontinuities, and the ability to handle complex bathymetry configurations preserving some steady state configurations (well-balanced scheme) make the method very efficient. Nevertheless, it is still a challenge to build an efficient numerical scheme, with very few numerical artifacts (e. g., small numerical diffusion, correct propagation of the discontinuities, accuracy, and robustness), to be used in an operational environment, and that is able to better capture the dynamics of the wet-dry interface and the physical phenomena that occur in the inundation area. In the first part of this paper, we present a new second-order finite volume code. The code is developed for the shallow water equations with a nonconservative term based on the hydrostatic reconstruction technology to achieve a well-balanced scheme and an adequate dry/wet interface treatment. A detailed presentation of the numerical method is given. In the second part of the paper, we highlight the advantages of the new numerical technique. We benchmark the numerical code against analytical, experimental, and field results to assess the robustness and the accuracy of the numerical code. Finally, we use the 28 February 1969 North East Atlantic tsunami to check the performance of the code with real data. |
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Second-order finite volume with hydrostatic reconstruction for tsunami simulationShallow-water equationsWell-balanced schemeUnstructures meshesValidationEarthquakePortugalFlowsBeachTsunami modeling commonly accepts the shallow water system as governing equations where the major difficulty is the correct treatment of the nonconservative term due to bathymetry variations. The finite volume method for solving the shallow water equations with such source terms has received great attention in the two last decades. The built-in conservation property, the capacity to correctly treat discontinuities, and the ability to handle complex bathymetry configurations preserving some steady state configurations (well-balanced scheme) make the method very efficient. Nevertheless, it is still a challenge to build an efficient numerical scheme, with very few numerical artifacts (e. g., small numerical diffusion, correct propagation of the discontinuities, accuracy, and robustness), to be used in an operational environment, and that is able to better capture the dynamics of the wet-dry interface and the physical phenomena that occur in the inundation area. In the first part of this paper, we present a new second-order finite volume code. The code is developed for the shallow water equations with a nonconservative term based on the hydrostatic reconstruction technology to achieve a well-balanced scheme and an adequate dry/wet interface treatment. A detailed presentation of the numerical method is given. In the second part of the paper, we highlight the advantages of the new numerical technique. We benchmark the numerical code against analytical, experimental, and field results to assess the robustness and the accuracy of the numerical code. Finally, we use the 28 February 1969 North East Atlantic tsunami to check the performance of the code with real data.American Geophysical UnionRCIPLClain, S.Reis, C.Costa, R.Figueiredo, J.Baptista, Maria Ana Carvalho VianaMiranda, Jorge Miguel2017-03-14T09:37:00Z2016-122016-12-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.21/6852engCLAIN, S.; [et al] – Second-order finite volume with hydrostatic reconstruction for tsunami simulation. Journal of Advances in Modeling Earth Systems. ISSN 1942-2466. Vol 8, N.º 4 (2016), pp. 1691-17131942-246610.1002/2015MS000603info: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:RCAAP2023-08-03T09:52:06Zoai:repositorio.ipl.pt:10400.21/6852Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:15:55.435383Repositório 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 |
Second-order finite volume with hydrostatic reconstruction for tsunami simulation |
title |
Second-order finite volume with hydrostatic reconstruction for tsunami simulation |
spellingShingle |
Second-order finite volume with hydrostatic reconstruction for tsunami simulation Clain, S. Shallow-water equations Well-balanced scheme Unstructures meshes Validation Earthquake Portugal Flows Beach |
title_short |
Second-order finite volume with hydrostatic reconstruction for tsunami simulation |
title_full |
Second-order finite volume with hydrostatic reconstruction for tsunami simulation |
title_fullStr |
Second-order finite volume with hydrostatic reconstruction for tsunami simulation |
title_full_unstemmed |
Second-order finite volume with hydrostatic reconstruction for tsunami simulation |
title_sort |
Second-order finite volume with hydrostatic reconstruction for tsunami simulation |
author |
Clain, S. |
author_facet |
Clain, S. Reis, C. Costa, R. Figueiredo, J. Baptista, Maria Ana Carvalho Viana Miranda, Jorge Miguel |
author_role |
author |
author2 |
Reis, C. Costa, R. Figueiredo, J. Baptista, Maria Ana Carvalho Viana Miranda, Jorge Miguel |
author2_role |
author author author author author |
dc.contributor.none.fl_str_mv |
RCIPL |
dc.contributor.author.fl_str_mv |
Clain, S. Reis, C. Costa, R. Figueiredo, J. Baptista, Maria Ana Carvalho Viana Miranda, Jorge Miguel |
dc.subject.por.fl_str_mv |
Shallow-water equations Well-balanced scheme Unstructures meshes Validation Earthquake Portugal Flows Beach |
topic |
Shallow-water equations Well-balanced scheme Unstructures meshes Validation Earthquake Portugal Flows Beach |
description |
Tsunami modeling commonly accepts the shallow water system as governing equations where the major difficulty is the correct treatment of the nonconservative term due to bathymetry variations. The finite volume method for solving the shallow water equations with such source terms has received great attention in the two last decades. The built-in conservation property, the capacity to correctly treat discontinuities, and the ability to handle complex bathymetry configurations preserving some steady state configurations (well-balanced scheme) make the method very efficient. Nevertheless, it is still a challenge to build an efficient numerical scheme, with very few numerical artifacts (e. g., small numerical diffusion, correct propagation of the discontinuities, accuracy, and robustness), to be used in an operational environment, and that is able to better capture the dynamics of the wet-dry interface and the physical phenomena that occur in the inundation area. In the first part of this paper, we present a new second-order finite volume code. The code is developed for the shallow water equations with a nonconservative term based on the hydrostatic reconstruction technology to achieve a well-balanced scheme and an adequate dry/wet interface treatment. A detailed presentation of the numerical method is given. In the second part of the paper, we highlight the advantages of the new numerical technique. We benchmark the numerical code against analytical, experimental, and field results to assess the robustness and the accuracy of the numerical code. Finally, we use the 28 February 1969 North East Atlantic tsunami to check the performance of the code with real data. |
publishDate |
2016 |
dc.date.none.fl_str_mv |
2016-12 2016-12-01T00:00:00Z 2017-03-14T09:37:00Z |
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/10400.21/6852 |
url |
http://hdl.handle.net/10400.21/6852 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
CLAIN, S.; [et al] – Second-order finite volume with hydrostatic reconstruction for tsunami simulation. Journal of Advances in Modeling Earth Systems. ISSN 1942-2466. Vol 8, N.º 4 (2016), pp. 1691-1713 1942-2466 10.1002/2015MS000603 |
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.publisher.none.fl_str_mv |
American Geophysical Union |
publisher.none.fl_str_mv |
American Geophysical Union |
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 |
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1799133418179526656 |