Show simple item record

dc.creatorCastro Díaz, Manuel Jesús
dc.creatorFernández Nieto, Enrique Domingo
dc.date.accessioned2016-01-20T11:41:37Z
dc.date.available2016-01-20T11:41:37Z
dc.date.issued2012
dc.identifier.citationCastro-Díaz, M.J. y Fernández-Nieto, E.D. (2012). A Class of Computationally Fast First Order Finite Volume Solvers: PVM Methods. SIAM journal on scientific computing, 34 (4), 2173-2196.es
dc.identifier.issn1064-8275es
dc.identifier.urihttp://hdl.handle.net/11441/32926
dc.description.abstractIn this work, we present a class of fast first order finite volume solvers, named as PVM (Polynomial Viscosity Matrix), for balance laws or, more generally, for nonconservative hyperbolic systems. They are defined in terms of viscosity matrices computed by a suitable polynomial evaluation of a Roe matrix. These methods have the advantage that they only need some information about the eigenvalues of the system to be defined, and no spectral decomposition of Roe Matrix is needed. As consequence, they are faster than Roe method. These methods can be seen as a generalization of the schemes introduced by Degond et al. in [12] for balance laws and nonconservative systems. The first-order path conservative methods to be designed here are intended to be used as the basis for higher order methods for multi-dimensional problems. In this work, some well known solvers as Rusanov, Lax-Friedrichs, FORCE (see [30], [8]), GFORCE (see [31], [8]) or HLL (see [18]) are redefined under this form, and then some new solvers are proposed. Finally, some numerical tests are presented and the performance of the numerical schemes are compared among them and with Roe schemees
dc.formatapplication/pdfes
dc.language.isoenges
dc.publisherSociety for Industrial and Applied Mathematicses
dc.relation.ispartofSIAM journal on scientific computing, 34 (4), 2173-2196es
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectFinite Volume Methodes
dc.subjectpath-conservativees
dc.subjectForcees
dc.subjectGforcees
dc.subjectHLLes
dc.subjectPVM methodses
dc.titleA Class of Computationally Fast First Order Finite Volume Solvers: PVM Methodses
dc.typeinfo:eu-repo/semantics/articlees
dc.type.versioninfo:eu-repo/semantics/publishedVersiones
dc.rights.accessrightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Matemática Aplicada I (ETSII)es
dc.identifier.doihttp://dx.doi.org/10.1137/100795280es
dc.journaltitleSIAM journal on scientific computinges
dc.publication.volumen34es
dc.publication.issue4es
dc.publication.initialPage2173es
dc.publication.endPage2196es
dc.identifier.idushttps://idus.us.es/xmlui/handle/11441/32926

FilesSizeFormatViewDescription
pvm_siamjsc2012.pdf4.030MbIcon   [PDF] View/Open  

This item appears in the following collection(s)

Show simple item record

Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Except where otherwise noted, this item's license is described as: Attribution-NonCommercial-NoDerivatives 4.0 Internacional