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Article: Conservation form of Helbing's fluid dynamic traffic flow model
Title | Conservation form of Helbing's fluid dynamic traffic flow model | ||||||||||
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Authors | |||||||||||
Keywords | Conservation Form Hyperbolicity Local Discontinuous Galerkin Method Stop-And-Go Wave | ||||||||||
Issue Date | 2011 | ||||||||||
Publisher | Springer 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? | ||||||||||
Abstract | A 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 Identifier | http://hdl.handle.net/10722/150598 | ||||||||||
ISSN | 2023 Impact Factor: 4.5 2023 SCImago Journal Rankings: 0.729 | ||||||||||
ISI Accession Number ID |
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 | |||||||||||
Grants |
DC Field | Value | Language |
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dc.contributor.author | Li, SF | en_US |
dc.contributor.author | Zhang, P | en_US |
dc.contributor.author | Wong, SC | en_US |
dc.date.accessioned | 2012-06-26T06:06:02Z | - |
dc.date.available | 2012-06-26T06:06:02Z | - |
dc.date.issued | 2011 | en_US |
dc.identifier.citation | Applied Mathematics And Mechanics (English Edition), 2011, v. 32 n. 9, p. 1109-1118 | en_US |
dc.identifier.issn | 0253-4827 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/150598 | - |
dc.description.abstract | A 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.language | eng | en_US |
dc.publisher | Springer Verlag Dordrecht. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0253-4827 | en_US |
dc.relation.ispartof | Applied Mathematics and Mechanics (English Edition) | en_US |
dc.rights | The original publication is available at www.springerlink.com | - |
dc.subject | Conservation Form | en_US |
dc.subject | Hyperbolicity | en_US |
dc.subject | Local Discontinuous Galerkin Method | en_US |
dc.subject | Stop-And-Go Wave | en_US |
dc.title | Conservation form of Helbing's fluid dynamic traffic flow model | en_US |
dc.type | Article | en_US |
dc.identifier.email | Wong, SC:hhecwsc@hku.hk | en_US |
dc.identifier.authority | Wong, SC=rp00191 | en_US |
dc.description.nature | postprint | en_US |
dc.identifier.doi | 10.1007/s10483-011-1485-9 | en_US |
dc.identifier.scopus | eid_2-s2.0-80052593533 | en_US |
dc.identifier.hkuros | 198213 | - |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-80052593533&selection=ref&src=s&origin=recordpage | en_US |
dc.identifier.volume | 32 | en_US |
dc.identifier.issue | 9 | en_US |
dc.identifier.spage | 1109 | en_US |
dc.identifier.epage | 1118 | en_US |
dc.identifier.isi | WOS:000295303900003 | - |
dc.publisher.place | Netherlands | en_US |
dc.relation.project | Development of dynamic macroscopic model for road networks | - |
dc.identifier.scopusauthorid | Li, SF=51261170200 | en_US |
dc.identifier.scopusauthorid | Zhang, P=7404158930 | en_US |
dc.identifier.scopusauthorid | Wong, SC=24323361400 | en_US |
dc.identifier.citeulike | 9685296 | - |
dc.identifier.issnl | 0253-4827 | - |