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Article: Front tracking algorithm for the Lighthill-Whitham-Richards traffic flow model with a piecewise quadratic, continuous, non-smooth, and non-concave fundamental diagram

TitleFront tracking algorithm for the Lighthill-Whitham-Richards traffic flow model with a piecewise quadratic, continuous, non-smooth, and non-concave fundamental diagram
Authors
KeywordsFront tracking algorithm
LWR model
Piecewise quadratic fundamental diagram
Traffic flow
WENO scheme
Issue Date2009
PublisherUniversity of Alberta, Department of Mathematical & Statistical Sciences. The Journal's web site is located at http://www.math.ualberta.ca/ijnam
Citation
International Journal Of Numerical Analysis And Modeling, 2009, v. 6 n. 4, p. 562-585 How to Cite?
AbstractWe use a front tracking algorithm to explicitly construct entropy solutions for the Lighthill-Whitham-Richards traffic flow model with a flow-density relationship that is piecewise quadratic, continuous, non-smooth, and non-concave. The solution is exact if the initial condition is piecewise linear and the boundary conditions are piecewise constant. The algorithm serves as a fast and accurate solution tool for the prediction of spatio-temporal traffic conditions and as a diagnostic tool for testing the performance of numerical schemes. Numerical examples are used to illustrate the effectiveness and efficiency of the proposed method relative to numerical solutions that are obtained using a fifth-order weighted essentially non-oscillatory scheme. © 2009 Institute for Scientific Computing and Information.
Persistent Identifierhttp://hdl.handle.net/10722/70925
ISSN
2015 Impact Factor: 0.844
2015 SCImago Journal Rankings: 0.746
References

 

DC FieldValueLanguage
dc.contributor.authorChen, Wen_HK
dc.contributor.authorWong, SCen_HK
dc.contributor.authorShu, CWen_HK
dc.contributor.authorZhang, Pen_HK
dc.date.accessioned2010-09-06T06:27:20Z-
dc.date.available2010-09-06T06:27:20Z-
dc.date.issued2009en_HK
dc.identifier.citationInternational Journal Of Numerical Analysis And Modeling, 2009, v. 6 n. 4, p. 562-585en_HK
dc.identifier.issn1705-5105en_HK
dc.identifier.urihttp://hdl.handle.net/10722/70925-
dc.description.abstractWe use a front tracking algorithm to explicitly construct entropy solutions for the Lighthill-Whitham-Richards traffic flow model with a flow-density relationship that is piecewise quadratic, continuous, non-smooth, and non-concave. The solution is exact if the initial condition is piecewise linear and the boundary conditions are piecewise constant. The algorithm serves as a fast and accurate solution tool for the prediction of spatio-temporal traffic conditions and as a diagnostic tool for testing the performance of numerical schemes. Numerical examples are used to illustrate the effectiveness and efficiency of the proposed method relative to numerical solutions that are obtained using a fifth-order weighted essentially non-oscillatory scheme. © 2009 Institute for Scientific Computing and Information.en_HK
dc.languageengen_HK
dc.publisherUniversity of Alberta, Department of Mathematical & Statistical Sciences. The Journal's web site is located at http://www.math.ualberta.ca/ijnamen_HK
dc.relation.ispartofInternational Journal of Numerical Analysis and Modelingen_HK
dc.subjectFront tracking algorithmen_HK
dc.subjectLWR modelen_HK
dc.subjectPiecewise quadratic fundamental diagramen_HK
dc.subjectTraffic flowen_HK
dc.subjectWENO schemeen_HK
dc.titleFront tracking algorithm for the Lighthill-Whitham-Richards traffic flow model with a piecewise quadratic, continuous, non-smooth, and non-concave fundamental diagramen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1705-5105&volume=6&issue=4&spage=562&epage=585&date=2009&atitle=Front+tracking+algorithm+for+the+Lighthill-Whitham-Richards+traffic+flow+model+with+a+piecewise+quadratic,+continuous,+non-smooth,+and+non-concave+fundamental+diagram-
dc.identifier.emailWong, SC:hhecwsc@hku.hken_HK
dc.identifier.authorityWong, SC=rp00191en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.scopuseid_2-s2.0-70350331467en_HK
dc.identifier.hkuros168126en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-70350331467&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume6en_HK
dc.identifier.issue4en_HK
dc.identifier.spage562en_HK
dc.identifier.epage585en_HK
dc.publisher.placeCanadaen_HK
dc.identifier.scopusauthoridChen, W=23666395100en_HK
dc.identifier.scopusauthoridWong, SC=24323361400en_HK
dc.identifier.scopusauthoridShu, CW=7202122336en_HK
dc.identifier.scopusauthoridZhang, P=9242315800en_HK

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