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Article: An analytical shock-fitting algorithm for LWR kinematic wave model embedded with linear speed-density relationship

TitleAn analytical shock-fitting algorithm for LWR kinematic wave model embedded with linear speed-density relationship
Authors
Issue Date2002
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/trb
Citation
Transportation Research Part B: Methodological, 2002, v. 36 n. 8, p. 683-706 How to Cite?
AbstractIn this paper, we propose a simple and efficient shock-fitting solution algorithm for the LWR model assuming a linear speed-density relationship or parabolic fundamental diagram. The solution is exact if the boundary conditions for density variable on the spatial axis are piecewise linear and those on the time axis are piecewise constant. Discontinuities are explicitly handled. The method utilizes the concept that for a linear speed-density relationship, a linear density variation along the spatial axis remains linear if not interrupted by shocks. Explicit expressions for the nonlinear shock path trajectory between two linear density functions are also derived. Two numerical examples are used to illustrate the effectiveness of the proposed method. © 2002 Elsevier Science Ltd. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/71023
ISSN
2015 Impact Factor: 3.769
2015 SCImago Journal Rankings: 3.905
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorWong, SCen_HK
dc.contributor.authorWong, GCKen_HK
dc.date.accessioned2010-09-06T06:28:13Z-
dc.date.available2010-09-06T06:28:13Z-
dc.date.issued2002en_HK
dc.identifier.citationTransportation Research Part B: Methodological, 2002, v. 36 n. 8, p. 683-706en_HK
dc.identifier.issn0191-2615en_HK
dc.identifier.urihttp://hdl.handle.net/10722/71023-
dc.description.abstractIn this paper, we propose a simple and efficient shock-fitting solution algorithm for the LWR model assuming a linear speed-density relationship or parabolic fundamental diagram. The solution is exact if the boundary conditions for density variable on the spatial axis are piecewise linear and those on the time axis are piecewise constant. Discontinuities are explicitly handled. The method utilizes the concept that for a linear speed-density relationship, a linear density variation along the spatial axis remains linear if not interrupted by shocks. Explicit expressions for the nonlinear shock path trajectory between two linear density functions are also derived. Two numerical examples are used to illustrate the effectiveness of the proposed method. © 2002 Elsevier Science Ltd. All rights reserved.en_HK
dc.languageengen_HK
dc.publisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/trben_HK
dc.relation.ispartofTransportation Research Part B: Methodologicalen_HK
dc.titleAn analytical shock-fitting algorithm for LWR kinematic wave model embedded with linear speed-density relationshipen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0191-2615&volume=36&spage=683&epage=706&date=2002&atitle=An+analytical+shock-fitting+algorithm+for+LWR+kinematic+wave+model+embedded+with+linear+speed-density+relationshipen_HK
dc.identifier.emailWong, SC:hhecwsc@hku.hken_HK
dc.identifier.authorityWong, SC=rp00191en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/S0191-2615(01)00023-6en_HK
dc.identifier.scopuseid_2-s2.0-0036722521en_HK
dc.identifier.hkuros75989en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0036722521&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume36en_HK
dc.identifier.issue8en_HK
dc.identifier.spage683en_HK
dc.identifier.epage706en_HK
dc.identifier.isiWOS:000176658000002-
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridWong, SC=24323361400en_HK
dc.identifier.scopusauthoridWong, GCK=7402527086en_HK

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