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dc.contributor.authorCasoni Rero, Eva
dc.contributor.authorPeraire Guitart, Jaume
dc.contributor.authorHuerta, Antonio
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental
dc.date.accessioned2015-11-26T13:10:16Z
dc.date.available2015-11-26T13:10:16Z
dc.date.issued2012-02
dc.identifier.citationCasoni, E., Peraire, J., Huerta, A. One-dimensional shock-capturing for high-order discontinuous Galerkin methods. "International journal for numerical methods in fluids", Febrer 2012, vol. 71, núm. 6, p. 737-755.
dc.identifier.issn0271-2091
dc.identifier.urihttp://hdl.handle.net/2117/79962
dc.description.abstractDiscontinuous Galerkin methods have emerged in recent years as an alternative for nonlinear conservation equations. In particular, their inherent structure (a numerical flux based on a suitable approximate Riemann solver introduces some stabilization) suggests that they are specially adapted to capture shocks. However, numerical fluxes are not sufficient to stabilize the solution in the presence of shocks. Thus, slope limiter methods, which are extensions of finite volume methods, have been proposed. These techniques require, in practice, mesh adaption to localize the shock structure. This is is more obvious for large elements typical of high-order approximations. Here, a new approach based on the introduction of artificial diffusion into the original equations is presented. The order is not systematically decreased to one in the presence of the shock, large high-order elements can be used, and several linear and nonlinear tests demonstrate the efficiency of the proposed methodology.
dc.format.extent19 p.
dc.language.isoeng
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics
dc.subject.lcshNumerical methods and algorithms
dc.subject.otherdiscontinuous Galerkin
dc.subject.othershock capturing
dc.subject.otherartificial viscosity
dc.subject.otherhigh-order approximation
dc.titleOne-dimensional shock-capturing for high-order discontinuous Galerkin methods
dc.typeArticle
dc.subject.lemacElements finits, Mètode dels
dc.contributor.groupUniversitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria
dc.identifier.doi10.1002/fld.3682
dc.description.peerreviewedPeer Reviewed
dc.subject.amsClassificació AMS::65 Numerical analysis::65E05 Numerical methods in complex analysis (potential theory, etc.)
dc.relation.publisherversionhttp://cataleg.upc.edu/record=b1208224~S1*cat
dc.rights.accessOpen Access
local.identifier.drac11055352
dc.description.versionPostprint (published version)
local.citation.authorCasoni, E.; Peraire, J.; Huerta, A.
local.citation.publicationNameInternational journal for numerical methods in fluids
local.citation.volume71
local.citation.number6
local.citation.startingPage737
local.citation.endingPage755


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