Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/337293
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dc.contributor.CRUESPUNIVERSIDADE ESTADUAL DE CAMPINASpt_BR
dc.contributor.authorunicampAbreu, Eduardo Cardoso de-
dc.typeArtigopt_BR
dc.titleA fast, robust, and simple Lagrangian-Eulerian solver for balance laws and applicationspt_BR
dc.contributor.authorAbreu, Eduardo-
dc.contributor.authorPerez, John-
dc.subjectLeis de conservação (Matemática)pt_BR
dc.subject.otherlanguageConservation laws (Mathematics)pt_BR
dc.description.abstractIn this work, we present an improvement of the Lagrangian-Eulerian space-time tracking forward scheme to deal with balance laws and related applications. This extended algorithm is shown in the most simple setting and it is a result of our previous works. We describe and explain a new strategy of discretization of conservation laws, starting from the scalar case in one space dimension, extending it to systems and to the multi-dimensional setting. The computations are fast, accurate and stable with good resolution. This algorithm is very easy to implement in a computer to address the delicate well-balancing between the first-order hyperbolic flux and the source term. We do not use approximate or exact Riemann solvers, nonlinear reconstructions, or upwind source term discretizations. The scheme is written into the classical theory of monotone schemes, which produces a scheme that converges to entropy solutions linked to the purely hyperbolic counterpart. This method can produce well-balanced approximations of solutions for nonlinear balance laws. Numerical experiments also demonstrate the robustness of the forward tracking to solve related problems involving systems and two-dimensional modelspt_BR
dc.relation.ispartofComputers & mathematics with applicationspt_BR
dc.relation.ispartofabbreviationComput. math. appl.pt_BR
dc.publisher.cityOxfordpt_BR
dc.publisher.countryReino Unidopt_BR
dc.publisherElsevierpt_BR
dc.date.issued2019-
dc.date.monthofcirculationMaypt_BR
dc.language.isoengpt_BR
dc.description.volume77pt_BR
dc.description.issuenumber9pt_BR
dc.description.firstpage2310pt_BR
dc.description.lastpage2336pt_BR
dc.rightsFechadopt_BR
dc.sourceWOSpt_BR
dc.identifier.issn0898-1221pt_BR
dc.identifier.eissn1873-7668pt_BR
dc.identifier.doi10.1016/j.camwa.2018.12.019pt_BR
dc.identifier.urlhttps://www.sciencedirect.com/science/article/pii/S0898122118307119pt_BR
dc.description.sponsordocumentnumbersem informaçãopt_BR
dc.date.available2020-03-24T19:12:24Z-
dc.date.accessioned2020-03-24T19:12:24Z-
dc.description.provenanceSubmitted by Sanches Olivia (olivias@unicamp.br) on 2020-03-24T19:12:24Z No. of bitstreams: 0en
dc.description.provenanceMade available in DSpace on 2020-03-24T19:12:24Z (GMT). No. of bitstreams: 0 Previous issue date: 2019en
dc.identifier.urihttp://repositorio.unicamp.br/jspui/handle/REPOSIP/337293-
dc.contributor.departmentDepartamento de Matemática Aplicadapt_BR
dc.contributor.unidadeInstituto de Matemática, Estatística e Computação Científicapt_BR
dc.subject.keywordBalance lawspt_BR
dc.subject.keywordDynamic forward trackingpt_BR
dc.subject.keywordLagrangian-Eulerian finite volumept_BR
dc.subject.keywordHyperbolic conservation lawspt_BR
dc.identifier.source000465065200004pt_BR
dc.creator.orcid0000-0003-1979-3082pt_BR
dc.type.formArtigopt_BR
dc.description.otherSponsorshipsem informaçãopt_BR
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