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Article: A shock-fitting algorithm for the Lighthill-Whitham-Richards model on inhomogeneous highways

TitleA shock-fitting algorithm for the Lighthill-Whitham-Richards model on inhomogeneous highways
Authors
KeywordsInhomogeneous highway
LWR shock-fitting algorithm
Traffic flow model
Weno
Lighthill-Whitham-Richards models
Issue Date2011
PublisherTaylor & Francis Ltd.. The Journal's web site is located at http://www.tandf.co.uk/journals/ttra
Citation
Transportmetrica, 2011, v. 7 n. 2, p. 163–180 How to Cite?
AbstractThe analytical shock-fitting algorithm outperforms traditional numerical methods in solving the Lighthill-Whitham-Richards (LWR) traffic flow model for homogeneous highways. In this study, we extend the algorithm to an inhomogeneous highway in which two homogeneous sections with different fundamental diagrams are connected by a junction (interface). According to the entropy condition of the Riemann problem, the flow conditions at the interface can be categorized into four groups, and the density on both sides of the interface can be uniquely determined. Based on the physical conditions, we construct a fictitious element as an appropriate boundary condition for each homogeneous section. Consequently, the Riemann problem of an inhomogeneous highway can be transformed into a problem of equivalent homogeneous sections to which the shock-fitting algorithm can be applied. We apply this algorithm to some representative traffic flow cases and compare the results with numerical solutions obtained using the Weighted Essentially Non-Oscillatory (WENO) scheme. © Hong Kong Society for Transportation Studies Limited.
Persistent Identifierhttp://hdl.handle.net/10722/145445
ISSN
2014 Impact Factor: 3.773
ISI Accession Number ID
Funding AgencyGrant Number
Research Grants Council of the Hong Kong Special Administrative Region, ChinaHKU7187/05E
University of Hong Kong10207394
National Natural Science Foundation of China70629001
10671190
10771134
National Basic Research Program of China2006CB705500
Funding Information:

The work described in this article was supported by grants from the Research Grants Council of the Hong Kong Special Administrative Region, China (Project No.: HKU7187/05E), the University of Hong Kong (10207394), the National Natural Science Foundation of China (70629001, 10671190, 10771134), and the National Basic Research Program of China (2006CB705500).

 

DC FieldValueLanguage
dc.contributor.authorSun, W-
dc.contributor.authorWong, SC-
dc.contributor.authorZhang, P-
dc.contributor.authorShu, CW-
dc.date.accessioned2012-02-22T08:05:24Z-
dc.date.available2012-02-22T08:05:24Z-
dc.date.issued2011-
dc.identifier.citationTransportmetrica, 2011, v. 7 n. 2, p. 163–180-
dc.identifier.issn1812-8602-
dc.identifier.urihttp://hdl.handle.net/10722/145445-
dc.description.abstractThe analytical shock-fitting algorithm outperforms traditional numerical methods in solving the Lighthill-Whitham-Richards (LWR) traffic flow model for homogeneous highways. In this study, we extend the algorithm to an inhomogeneous highway in which two homogeneous sections with different fundamental diagrams are connected by a junction (interface). According to the entropy condition of the Riemann problem, the flow conditions at the interface can be categorized into four groups, and the density on both sides of the interface can be uniquely determined. Based on the physical conditions, we construct a fictitious element as an appropriate boundary condition for each homogeneous section. Consequently, the Riemann problem of an inhomogeneous highway can be transformed into a problem of equivalent homogeneous sections to which the shock-fitting algorithm can be applied. We apply this algorithm to some representative traffic flow cases and compare the results with numerical solutions obtained using the Weighted Essentially Non-Oscillatory (WENO) scheme. © Hong Kong Society for Transportation Studies Limited.-
dc.languageeng-
dc.publisherTaylor & Francis Ltd.. The Journal's web site is located at http://www.tandf.co.uk/journals/ttra-
dc.relation.ispartofTransportmetrica-
dc.subjectInhomogeneous highway-
dc.subjectLWR shock-fitting algorithm-
dc.subjectTraffic flow model-
dc.subjectWeno-
dc.subjectLighthill-Whitham-Richards models-
dc.titleA shock-fitting algorithm for the Lighthill-Whitham-Richards model on inhomogeneous highwaysen_US
dc.typeArticleen_US
dc.identifier.emailSun, W: wendysun13@gmail.com-
dc.identifier.emailWong, SC: hhecwsc@hkucc.hku.hk-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1080/18128600903313936-
dc.identifier.scopuseid_2-s2.0-78650340423-
dc.identifier.hkuros183903-
dc.identifier.volume7-
dc.identifier.issue2-
dc.identifier.spage163–180-
dc.identifier.epage163–180-
dc.identifier.isiWOS:000285420900004-

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