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Artículo
On well-balanced finite volume methods for non-conservative non-homogeneous hyperbolic systems
dc.creator | Chacón Rebollo, Tomás | |
dc.creator | Fernández Nieto, Enrique Domingo | |
dc.creator | Parés Madroñal, Carlos | |
dc.date.accessioned | 2016-01-20T11:39:44Z | |
dc.date.available | 2016-01-20T11:39:44Z | |
dc.date.issued | 2007 | |
dc.identifier.issn | 1064-8275 | es |
dc.identifier.uri | http://hdl.handle.net/11441/32920 | |
dc.description.abstract | In this work we introduce a general family of finite volume methods for non-homogeneous hyperbolic systems with non-conservative terms. We prove that all of them are “asymptotically well-balanced”: They preserve all smooth stationary solutions in all the domain but a set whose measure tends to zero as ∆x tends to zero. This theory is applied to solve the bilayer Shallow-Water equations with arbitrary cross-section. Finally, some numerical tests are presented for simplified but meaningful geometries, comparing the computed solution with approximated asymptotic analytical solutions. | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Society for Industrial and Applied Mathematics | es |
dc.relation.ispartof | SIAM journal on scientific computing, 29 (3), 1093-1126 | es |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Well-balanced | es |
dc.subject | Finite Volume Method | es |
dc.subject | upwinding | es |
dc.subject | shallow water | es |
dc.subject | source terms | es |
dc.subject | two-layer flows | es |
dc.title | On well-balanced finite volume methods for non-conservative non-homogeneous hyperbolic systems | es |
dc.title.alternative | Well-balanced Finite volume solvers | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) | es |
dc.identifier.doi | http://dx.doi.org/10.1137/040607642 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/32920 |
Ficheros | Tamaño | Formato | Ver | Descripción |
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bicaper_ccfp.pdf | 720.7Kb | [PDF] | Ver/ | |