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Article: Conservation form of Helbing's fluid dynamic traffic flow model

TitleConservation form of Helbing's fluid dynamic traffic flow model
Authors
Li, SFZhang, PWong, SC
KeywordsConservation Form
Hyperbolicity
Local Discontinuous Galerkin Method
Stop-And-Go Wave
Issue Date2011
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 (English Edition), 2011, v. 32 n. 9, p. 1109-1118 How to Cite?
DOI: http://dx.doi.org/10.1007/s10483-011-1485-9
AbstractA standard conservation form is derived in this paper. The hyperbolicity of Helbing's fluid dynamic traffic flow model is proved, which is essential to the general analytical and numerical study of this model. On the basis of this conservation form, a local discontinuous Galerkin scheme is designed to solve the resulting system efficiently. The evolution of an unstable equilibrium traffic state leading to a stable stop-and-go traveling wave is simulated. This simulation also verifies that the model is truly improved by the introduction of the modified diffusion coefficients, and thus helps to protect vehicles from collisions and avoide the appearance of the extremely large density. © 2011 Shanghai University and Springer-Verlag Berlin Heidelberg.
Persistent Identifierhttp://hdl.handle.net/10722/150598
ISSN
0253-4827
2021 Impact Factor: 3.918
2020 SCImago Journal Rankings: 0.499
ISI Accession Number ID
WOS:000295303900003
Funding AgencyGrant Number
National Natural Science Foundation of China11072141
Shanghai Program for Innovative Research Team in Universities
University Research Committee of the University of Hong Kong201007176059
University of Hong Kong
Funding Information:

Project supported by the National Natural Science Foundation of China (No. 11072141), the Shanghai Program for Innovative Research Team in Universities, the University Research Committee of the University of Hong Kong (No. 201007176059), and the Outstanding Researcher Award from the University of Hong Kong

References
References in Scopus
Grants
Development of dynamic macroscopic model for road networks

 

DC FieldValueLanguage
dc.contributor.authorLi, SFen_US
dc.contributor.authorZhang, Pen_US
dc.contributor.authorWong, SCen_US
dc.date.accessioned2012-06-26T06:06:02Z-
dc.date.available2012-06-26T06:06:02Z-
dc.date.issued2011en_US
dc.identifier.citationApplied Mathematics And Mechanics (English Edition), 2011, v. 32 n. 9, p. 1109-1118en_US
dc.identifier.issn0253-4827en_US
dc.identifier.urihttp://hdl.handle.net/10722/150598-
dc.description.abstractA standard conservation form is derived in this paper. The hyperbolicity of Helbing's fluid dynamic traffic flow model is proved, which is essential to the general analytical and numerical study of this model. On the basis of this conservation form, a local discontinuous Galerkin scheme is designed to solve the resulting system efficiently. The evolution of an unstable equilibrium traffic state leading to a stable stop-and-go traveling wave is simulated. This simulation also verifies that the model is truly improved by the introduction of the modified diffusion coefficients, and thus helps to protect vehicles from collisions and avoide the appearance of the extremely large density. © 2011 Shanghai University and Springer-Verlag Berlin Heidelberg.en_US
dc.languageengen_US
dc.publisherSpringer Verlag Dordrecht. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0253-4827en_US
dc.relation.ispartofApplied Mathematics and Mechanics (English Edition)en_US
dc.rightsThe original publication is available at www.springerlink.com-
dc.subjectConservation Formen_US
dc.subjectHyperbolicityen_US
dc.subjectLocal Discontinuous Galerkin Methoden_US
dc.subjectStop-And-Go Waveen_US
dc.titleConservation form of Helbing's fluid dynamic traffic flow modelen_US
dc.typeArticleen_US
dc.identifier.emailWong, SC:hhecwsc@hku.hken_US
dc.identifier.authorityWong, SC=rp00191en_US
dc.description.naturepostprinten_US
dc.identifier.doi10.1007/s10483-011-1485-9en_US
dc.identifier.scopuseid_2-s2.0-80052593533en_US
dc.identifier.hkuros198213-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-80052593533&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume32en_US
dc.identifier.issue9en_US
dc.identifier.spage1109en_US
dc.identifier.epage1118en_US
dc.identifier.isiWOS:000295303900003-
dc.publisher.placeNetherlandsen_US
dc.relation.projectDevelopment of dynamic macroscopic model for road networks-
dc.identifier.scopusauthoridLi, SF=51261170200en_US
dc.identifier.scopusauthoridZhang, P=7404158930en_US
dc.identifier.scopusauthoridWong, SC=24323361400en_US
dc.identifier.citeulike9685296-
dc.identifier.issnl0253-4827-

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