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Article: Solitary wave solution to Aw-Rascle viscous model of traffic flow

TitleSolitary wave solution to Aw-Rascle viscous model of traffic flow
Authors
Wu, CXZhang, PWong, SCQiao, DLDai, SQ
Keywordsconservative scheme
higher-order traffic flow model
hyperbolic conservation law
traveling wave solution
Issue Date2013
PublisherSpringer Verlag Dordrecht. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0253-4827
Citation
Applied Mathematics and Mechanics, 2013, v. 34 n. 4, p. 523-528 How to Cite?
DOI: http://dx.doi.org/10.1007/s10483-013-1687-9
AbstractA traveling wave solution to the Aw-Rascle traffic flow model that includes the relaxation and diffusion terms is investigated. The model can be approximated by the well-known Kortweg-de Vries (KdV) equation. A numerical simulation is conducted by the first-order accurate Lax-Friedrichs scheme, which is known for its ability to capture the entropy solution to hyperbolic conservation laws. Periodic boundary conditions are applied to simulate a lengthy propagation, where the profile of the derived KdV solution is taken as the initial condition to observe the change of the profile. The simulation shows good agreement between the approximated KdV solution and the numerical solution.
Persistent Identifierhttp://hdl.handle.net/10722/185767
ISSN
0253-4827
2023 Impact Factor: 4.5
2023 SCImago Journal Rankings: 0.729
ISI Accession Number ID
WOS:000317011600009

 

DC FieldValueLanguage
dc.contributor.authorWu, CX-
dc.contributor.authorZhang, P-
dc.contributor.authorWong, SC-
dc.contributor.authorQiao, DL-
dc.contributor.authorDai, SQ-
dc.date.accessioned2013-08-20T11:40:23Z-
dc.date.available2013-08-20T11:40:23Z-
dc.date.issued2013-
dc.identifier.citationApplied Mathematics and Mechanics, 2013, v. 34 n. 4, p. 523-528-
dc.identifier.issn0253-4827-
dc.identifier.urihttp://hdl.handle.net/10722/185767-
dc.description.abstractA traveling wave solution to the Aw-Rascle traffic flow model that includes the relaxation and diffusion terms is investigated. The model can be approximated by the well-known Kortweg-de Vries (KdV) equation. A numerical simulation is conducted by the first-order accurate Lax-Friedrichs scheme, which is known for its ability to capture the entropy solution to hyperbolic conservation laws. Periodic boundary conditions are applied to simulate a lengthy propagation, where the profile of the derived KdV solution is taken as the initial condition to observe the change of the profile. The simulation shows good agreement between the approximated KdV solution and the numerical solution.-
dc.languageeng-
dc.publisherSpringer Verlag Dordrecht. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0253-4827-
dc.relation.ispartofApplied Mathematics and Mechanics-
dc.rightsThe original publication is available at www.springerlink.com-
dc.subjectconservative scheme-
dc.subjecthigher-order traffic flow model-
dc.subjecthyperbolic conservation law-
dc.subjecttraveling wave solution-
dc.titleSolitary wave solution to Aw-Rascle viscous model of traffic flow-
dc.typeArticle-
dc.identifier.emailWong, SC: hhecwsc@hku.hk-
dc.identifier.authorityWong, SC=rp00191-
dc.description.naturepostprint-
dc.identifier.doi10.1007/s10483-013-1687-9-
dc.identifier.scopuseid_2-s2.0-84876467702-
dc.identifier.hkuros219102-
dc.identifier.volume34-
dc.identifier.issue4-
dc.identifier.spage523-
dc.identifier.epage528-
dc.identifier.isiWOS:000317011600009-
dc.publisher.placeNetherlands-
dc.identifier.issnl0253-4827-

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