Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/48543
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Campo DC | Valor | Idioma |
---|---|---|
dc.contributor.author | Michel-Dansac, V. | por |
dc.contributor.author | Berthon, C. | por |
dc.contributor.author | Clain, Stéphane | por |
dc.contributor.author | Foucher, F. | por |
dc.date.accessioned | 2017-12-23T21:20:10Z | - |
dc.date.issued | 2017 | - |
dc.identifier.issn | 0021-9991 | por |
dc.identifier.uri | https://hdl.handle.net/1822/48543 | - |
dc.description.abstract | We consider the shallow-water equations with Manning friction or topography, as well as a combination of both these source terms. The main purpose of this work concerns the derivation of a non-negativity preserving and well-balanced scheme that approximates solutions of the system and preserves the associated steady states, including the moving ones. In addition, the scheme has to deal with vanishing water heights and transitions between wet and dry areas. To address such issues, a particular attention is paid to the study of the steady states related to the friction source term. Then, a Godunov-type scheme is obtained by using a relevant average of the source terms in order to enforce the required well-balance property. An implicit treatment of both topography and friction source terms is also exhibited to improve the scheme while dealing with vanishing water heights. A second-order well-balanced MUSCL extension is designed, as well as an extension for the two-dimensional case. Numerical experiments are performed in order to highlight the properties of the scheme. | por |
dc.description.sponsorship | C. Berthon, F. Foucher and V. Michel-Dansac would like to thank the grant ANR-12-IS01-0004-01 GEONUM, from the Agence Nationale de la Recherche, for financial support. S. Clain acknowledges the Fundação para a Ciência e a Tecnologia for the funding of projects FCT-ANR/MAT-NAN/0122/2012 and UID/MAT/00013/2013. | por |
dc.language.iso | eng | por |
dc.publisher | Elsevier 1 | por |
dc.relation | info:eu-repo/grantAgreement/FCT/3599-PPCDT/124734/PT | por |
dc.relation | info:eu-repo/grantAgreement/FCT/5876/147370/PT | por |
dc.rights | restrictedAccess | por |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | por |
dc.subject | well-balanced scheme | por |
dc.subject | shallow-water | por |
dc.subject | manning friction | por |
dc.subject | finite volume | por |
dc.subject | Shallow-water equations | por |
dc.subject | Godunov-type schemes | por |
dc.subject | Well-balanced schemes | por |
dc.subject | Moving steady states | por |
dc.title | A well-balanced scheme for the shallow-water equations with topography or Manning friction | por |
dc.type | article | por |
dc.peerreviewed | yes | por |
dc.relation.publisherversion | https://www.journals.elsevier.com/journal-of-computational-physics/ | por |
oaire.citationStartPage | 115 | por |
oaire.citationEndPage | 154 | por |
oaire.citationIssue | 15 | por |
oaire.citationVolume | 335 | por |
dc.identifier.doi | 10.1016/j.jcp.2017.01.009 | por |
dc.subject.fos | Ciências Naturais::Matemáticas | por |
dc.description.publicationversion | info:eu-repo/semantics/publishedVersion | por |
dc.subject.wos | Science & Technology | por |
sdum.journal | Journal of Computational Physics | por |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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1-s2.0-S0021999117300190-main.pdf Acesso restrito! | 2,52 MB | Adobe PDF | Ver/Abrir |
Este trabalho está licenciado sob uma Licença Creative Commons