Non-monotonic Traveling Wave And Computational Solutions For Gas Dynamics Euler Equations With Stiff Relaxation Source Terms

dc.creatorAbreu
dc.creatorEduardo; Bustos
dc.creatorAbel; Lambert
dc.creatorWanderson
dc.date2015-NOV
dc.date2016-06-07T13:18:26Z
dc.date2016-06-07T13:18:26Z
dc.date.accessioned2018-03-29T01:38:47Z
dc.date.available2018-03-29T01:38:47Z
dc.identifier
dc.identifierNon-monotonic Traveling Wave And Computational Solutions For Gas Dynamics Euler Equations With Stiff Relaxation Source Terms. Pergamon-elsevier Science Ltd, v. 70, p. 2155-2176 NOV-2015.
dc.identifier0898-1221
dc.identifierWOS:000364255200001
dc.identifier10.1016/j.camwa.2015.07.002
dc.identifierhttp://www.sciencedirect.com/science/article/pii/S0898122115003375
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/242497
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1306195
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionWe study the existence of non-monotone traveling wave solutions and its properties for an isothermal Euler system with relaxation describing the perfect gas flow. In order to confront our results, we first apply a mollification approach as an effective regularization method for solving an ill-posed problem for an associated reduced system for the Euler model under consideration, which in turn is solved by using the method of characteristics. Next, we developed a cheap unsplitting finite volume scheme that reproduces the same traveling wave asymptotic structure as that of the Euler solutions of the continuous system at the discrete level. The method is conservative by construction and relatively easy to understand and implement. Although we do not have a mathematical proof that our designed scheme enjoys the asymptotic preserving and well-balanced properties, we were able to reproduce consistent solutions for the more general Euler equations with gravity and friction recently published in the specialized literature, which in turn are procedures based on a Godunov-type scheme and based on an asymptotic preserving scheme, yielding good verification and performance to our method. (C) 2015 Elsevier Ltd. All rights reserved.
dc.description70
dc.description9
dc.description
dc.description2155
dc.description2176
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionUNICAMP/FAEPEX [519.292-0280/2014, 24015/2015]
dc.descriptionFundação de Amparo à Pesquisa do Estado do Rio de Janeiro (FAPERJ)
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionFAPESP [2014/03204-9, 2011/23628-0]
dc.description
dc.description
dc.description
dc.languageen
dc.publisherPERGAMON-ELSEVIER SCIENCE LTD
dc.publisher
dc.publisherOXFORD
dc.relationCOMPUTERS & MATHEMATICS WITH APPLICATIONS
dc.rightsembargo
dc.sourceWOS
dc.subjectHyperbolic Conservation-laws
dc.subjectNumerical Schemes
dc.subjectBalance Laws
dc.subjectFlow
dc.subjectFriction
dc.subjectSystems
dc.titleNon-monotonic Traveling Wave And Computational Solutions For Gas Dynamics Euler Equations With Stiff Relaxation Source Terms
dc.typeArtículos de revistas


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