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A new reconstruction procedure in central schemes for hyperbolic conservation laws

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A new reconstruction procedure in central schemes for hyperbolic conservation laws

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dc.contributor.author Balaguer Beser, Ángel Antonio es_ES
dc.date.accessioned 2016-01-28T15:57:02Z
dc.date.available 2016-01-28T15:57:02Z
dc.date.issued 2011-07-01
dc.identifier.issn 0029-5981
dc.identifier.uri http://hdl.handle.net/10251/60339
dc.description.abstract This paper presents a new point value reconstruction algorithm based on average values or flux values for central Runge-Kutta schemes in the resolution of hyperbolic conservation laws. This reconstruction employs a fourth-order accurate approximation of point values of the solution at the two extrema and at the mid-point of each cell. These point values are modified in order to enforce monotonicity and shape preserving properties. This correction has been applied essentially in the cells close to the maxima and minima of the solution and in these cases, it has been proven that the reconstruction is fourth-order accurate. In the cells with a maximum or minimum of the solution, a correction has also been applied to such point values with the aim of ensuring that the resulting numerical solution has a non-oscillatory behavior. Several standard one- and two-dimensional test cases are used to verify high-order accuracy, non-oscillatory behavior and high-resolution properties for smooth and discontinuous solutions, and also in their componentwise extension to the Euler gas dynamics equations. © 2011 John Wiley & Sons, Ltd. es_ES
dc.description.sponsorship I express my gratitude to the anonymous reviewers for their helpful comments. I thank Txomin Hermosilla for his suggestions. I thank the R & D & I Linguistic Assistance Office, Universidad Politecnica de Valencia (Spain), for translating this paper. This work is supported by Spanish Ministry of Education and Science under grant number CGL2009-14220-C02-01. This work was partially funded by the PAID-06-10 of the Polytechnic University of Valencia. en_EN
dc.language Inglés es_ES
dc.publisher Wiley: 12 months es_ES
dc.relation.ispartof International Journal for Numerical Methods in Engineering es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Central schemes es_ES
dc.subject High-order es_ES
dc.subject Hyperbolic conservation laws es_ES
dc.subject Non-oscillatory es_ES
dc.subject Reconstruction es_ES
dc.subject Central scheme es_ES
dc.subject Euler equations es_ES
dc.subject Runge Kutta methods es_ES
dc.subject Physical properties es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title A new reconstruction procedure in central schemes for hyperbolic conservation laws es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1002/nme.3105
dc.relation.projectID info:eu-repo/grantAgreement/MICINN//CGL2009-14220-C02-01/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/UPV//PAID-06-10/ es_ES
dc.rights.accessRights Cerrado es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Balaguer Beser, ÁA. (2011). A new reconstruction procedure in central schemes for hyperbolic conservation laws. International Journal for Numerical Methods in Engineering. 86(13):1481-1506. https://doi.org/10.1002/nme.3105 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1002/nme.3105 es_ES
dc.description.upvformatpinicio 1481 es_ES
dc.description.upvformatpfin 1506 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 86 es_ES
dc.description.issue 13 es_ES
dc.relation.senia 40157 es_ES
dc.contributor.funder Ministerio de Ciencia e Innovación es_ES
dc.contributor.funder Universitat Politècnica de València es_ES
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