File Download

There are no files associated with this item.

  Links for fulltext
     (May Require Subscription)
Supplementary

Article: A weighted essentially non-oscillatory numerical scheme for a multi-class Lighthill-Whitham-Richards traffic flow model

TitleA weighted essentially non-oscillatory numerical scheme for a multi-class Lighthill-Whitham-Richards traffic flow model
Authors
KeywordsGodunov Scheme
Lax-Friedrichs Scheme
Multi-Class Lwr Model
Traffic Flow
Weighted Essentially Non-Oscillatory Scheme
Issue Date2003
PublisherAcademic Press. The Journal's web site is located at http://www.elsevier.com/locate/jcp
Citation
Journal Of Computational Physics, 2003, v. 191 n. 2, p. 639-659 How to Cite?
AbstractIn this paper, we present a high-order weighted essentially non-oscillatory (WENO) scheme for solving a multi-class extension of the Lighthill-Whitham-Richards (LWR) model. We first review the multi-class LWR model and present some of its analytical properties. We then present the WENO schemes, which were originally designed for computational fluid dynamics problems and for solving hyperbolic conservation laws in general, and demonstrate how to apply these to the present model. We found through numerical experiments that the WENO method is vastly more efficient than the low-order Lax-Friedrichs scheme, yet both methods converge to the same solution of the physical model. It is especially interesting to observe the small staircases in the solution which are completely missed out, because of the numerical viscosity, if a lower-order method is used without a sufficiently refined mesh. To demonstrate the applicability of this new, efficient numerical tool, we study the multi-class model under different parameter regimes and traffic stream models. We consider also the convergence of the multi-class LWR model when the number of classes goes to infinity. We show that the solution converges to a smooth profile without staircases when the number of classes increases. © 2003 Elsevier B.V. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/150252
ISSN
2015 Impact Factor: 2.556
2015 SCImago Journal Rankings: 2.167
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorZhang, Men_US
dc.contributor.authorShu, CWen_US
dc.contributor.authorWong, GCKen_US
dc.contributor.authorWong, SCen_US
dc.date.accessioned2012-06-26T06:02:47Z-
dc.date.available2012-06-26T06:02:47Z-
dc.date.issued2003en_US
dc.identifier.citationJournal Of Computational Physics, 2003, v. 191 n. 2, p. 639-659en_US
dc.identifier.issn0021-9991en_US
dc.identifier.urihttp://hdl.handle.net/10722/150252-
dc.description.abstractIn this paper, we present a high-order weighted essentially non-oscillatory (WENO) scheme for solving a multi-class extension of the Lighthill-Whitham-Richards (LWR) model. We first review the multi-class LWR model and present some of its analytical properties. We then present the WENO schemes, which were originally designed for computational fluid dynamics problems and for solving hyperbolic conservation laws in general, and demonstrate how to apply these to the present model. We found through numerical experiments that the WENO method is vastly more efficient than the low-order Lax-Friedrichs scheme, yet both methods converge to the same solution of the physical model. It is especially interesting to observe the small staircases in the solution which are completely missed out, because of the numerical viscosity, if a lower-order method is used without a sufficiently refined mesh. To demonstrate the applicability of this new, efficient numerical tool, we study the multi-class model under different parameter regimes and traffic stream models. We consider also the convergence of the multi-class LWR model when the number of classes goes to infinity. We show that the solution converges to a smooth profile without staircases when the number of classes increases. © 2003 Elsevier B.V. All rights reserved.en_US
dc.languageengen_US
dc.publisherAcademic Press. The Journal's web site is located at http://www.elsevier.com/locate/jcpen_US
dc.relation.ispartofJournal of Computational Physicsen_US
dc.subjectGodunov Schemeen_US
dc.subjectLax-Friedrichs Schemeen_US
dc.subjectMulti-Class Lwr Modelen_US
dc.subjectTraffic Flowen_US
dc.subjectWeighted Essentially Non-Oscillatory Schemeen_US
dc.titleA weighted essentially non-oscillatory numerical scheme for a multi-class Lighthill-Whitham-Richards traffic flow modelen_US
dc.typeArticleen_US
dc.identifier.emailWong, SC:hhecwsc@hku.hken_US
dc.identifier.authorityWong, SC=rp00191en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1016/S0021-9991(03)00344-9en_US
dc.identifier.scopuseid_2-s2.0-0242267633en_US
dc.identifier.hkuros85676-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0242267633&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume191en_US
dc.identifier.issue2en_US
dc.identifier.spage639en_US
dc.identifier.epage659en_US
dc.identifier.isiWOS:000186667400013-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridZhang, M=7601556898en_US
dc.identifier.scopusauthoridShu, CW=7202122336en_US
dc.identifier.scopusauthoridWong, GCK=7402527086en_US
dc.identifier.scopusauthoridWong, SC=24323361400en_US

Export via OAI-PMH Interface in XML Formats


OR


Export to Other Non-XML Formats