DC FieldValueLanguage
dc.contributor.authorDudzinski, Michael-
dc.contributor.authorLukáčová-Medviďová, Mária-
dc.date.accessioned2020-07-31T11:00:08Z-
dc.date.available2020-07-31T11:00:08Z-
dc.date.issued2012-11-15-
dc.identifier.citationJournal of Computational Physics (235): 82-113 (2013)de_DE
dc.identifier.issn1090-2716de_DE
dc.identifier.urihttp://hdl.handle.net/11420/6926-
dc.description.abstractThe aim of this paper is to present a new well-balanced finite volume scheme for two-dimensional multilayer shallow water flows including wet/dry fronts. The ideas, presented here for the two-layer model, can be generalized to a multilayer case in a straightforward way. The method developed here is constructed in the framework of the Finite Volume Evolution Galerkin (FVEG) schemes. The FVEG methods couple a finite volume formulation with evolution operators. The latter are constructed using the bicharacteristics of multidimensional hyperbolic systems. However, in the case of multilayer shallow water flows the required eigenstructure of the underlying equations is not readily available. Thus we approximate the evolution operators numerically. This approximation procedure can be used for arbitrary hyperbolic systems. We derive a well-balanced approximation of the evolution operators and prove that the FVEG scheme is well-balanced for the multilayer lake at rest states even in the presence of wet/dry fronts. Several numerical experiments confirm the reliability and efficiency of the new well-balanced FVEG scheme. © 2012 Elsevier Inc.en
dc.language.isoende_DE
dc.publisherElsevierde_DE
dc.relation.ispartofJournal of computational physicsde_DE
dc.subjectBicharacteristicsde_DE
dc.subjectEvolution galerkinde_DE
dc.subjectFinite volume methodde_DE
dc.subjectTwo-layer shallow waterde_DE
dc.subjectWell-balancede_DE
dc.subjectWet/dry frontde_DE
dc.subject.ddc004: Informatikde_DE
dc.subject.ddc510: Mathematikde_DE
dc.subject.ddc530: Physikde_DE
dc.titleWell-balanced bicharacteristic-based scheme for multilayer shallow water flows including wet/dry frontsde_DE
dc.typeArticlede_DE
dc.type.diniarticle-
dcterms.DCMITypeText-
tuhh.abstract.englishThe aim of this paper is to present a new well-balanced finite volume scheme for two-dimensional multilayer shallow water flows including wet/dry fronts. The ideas, presented here for the two-layer model, can be generalized to a multilayer case in a straightforward way. The method developed here is constructed in the framework of the Finite Volume Evolution Galerkin (FVEG) schemes. The FVEG methods couple a finite volume formulation with evolution operators. The latter are constructed using the bicharacteristics of multidimensional hyperbolic systems. However, in the case of multilayer shallow water flows the required eigenstructure of the underlying equations is not readily available. Thus we approximate the evolution operators numerically. This approximation procedure can be used for arbitrary hyperbolic systems. We derive a well-balanced approximation of the evolution operators and prove that the FVEG scheme is well-balanced for the multilayer lake at rest states even in the presence of wet/dry fronts. Several numerical experiments confirm the reliability and efficiency of the new well-balanced FVEG scheme. © 2012 Elsevier Inc.de_DE
tuhh.publisher.doi10.1016/j.jcp.2012.10.037-
tuhh.publication.instituteMathematik E-10de_DE
tuhh.type.opus(wissenschaftlicher) Artikel-
dc.type.driverarticle-
dc.type.casraiJournal Article-
tuhh.container.volume235de_DE
tuhh.container.startpage82de_DE
tuhh.container.endpage113de_DE
dc.identifier.scopus2-s2.0-84871057038-
local.status.inpressfalsede_DE
datacite.resourceTypeJournal Article-
datacite.resourceTypeGeneralText-
item.grantfulltextnone-
item.openairecristypehttp://purl.org/coar/resource_type/c_6501-
item.creatorGNDDudzinski, Michael-
item.creatorGNDLukáčová-Medviďová, Mária-
item.openairetypeArticle-
item.fulltextNo Fulltext-
item.cerifentitytypePublications-
item.creatorOrcidDudzinski, Michael-
item.creatorOrcidLukáčová-Medviďová, Mária-
item.languageiso639-1en-
item.mappedtypeArticle-
crisitem.author.deptMathematik E-10-
crisitem.author.deptMathematik E-10-
crisitem.author.parentorgStudiendekanat Elektrotechnik, Informatik und Mathematik-
crisitem.author.parentorgStudiendekanat Elektrotechnik, Informatik und Mathematik-
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