Show simple item record

Article

dc.creatorCastro Díaz, Manuel Jesús
dc.creatorFernández Nieto, Enrique Domingo
dc.creatorNarbona Reina, Gladys
dc.creatorAsunción, M. de la
dc.date.accessioned2015-12-17T12:54:39Z
dc.date.available2015-12-17T12:54:39Z
dc.date.issued2014
dc.identifier.citationCastro Díaz, M.J., Fernández Nieto, E.D., Narbona Reina, G. y Asunción, M.d.l. (2014). A second order pvm flux limiter method. Application to magnetohydrodynamics and shallow stratified flows.
dc.identifier.issn0021-9991es
dc.identifier.urihttp://hdl.handle.net/11441/32040
dc.description.abstractIn this work we propose a second order flux limiter finite volume method, named PVM-2U-FL, that only uses information of the two external waves of the hyperbolic system. This method could be seen as a natural extension of the well known WAF method introduced by Prof. Toro in [21]. We prove that independently of the number of unknowns of the 1D system, it recovers the second order accuracy at regular zones, while in presence of discontinuities, the scheme degenerates to PVM-2U method, which can be seen as an improvement of the HLL method (see [4], [8]). Another interesting property of the method is that it does not need any spectral decomposition of the Jacobian or Roe matrix associated to the flux function. Therefore, it can be easily applied to systems with a large number of unknowns or in situations where no analytical expression of the eigenvalues or eigenvectors are known. In this work, we apply the proposed method to Magnetohydrodynamics and to stratified multilayer flows. Comparison with the twowaves WAF and HLL-MUSCL methods are also presented. The numerical results show that PVM-2U-FL is the most efficient and accurate among them.en
dc.formatapplication/pdfes
dc.language.isoenges
dc.publisherAcademic Presses
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.titleA second order pvm flux limiter method. Application to magnetohydrodynamics and shallow stratified flowses
dc.typeinfo:eu-repo/semantics/articlees
dc.type.versioninfo:eu-repo/semantics/submittedVersiones
dc.rights.accessrightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Matemática Aplicada I (ETSII)es
dc.relation.publisherversionhttp://dx.doi.org/10.1016/j.jcp.2013.12.059
dc.identifier.doi10.1016/j.jcp.2013.12.059
dc.identifier.idushttps://idus.us.es/xmlui/handle/11441/32040

FilesSizeFormatViewDescription
A second.pdf4.779MbIcon   [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