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Article: An analytical shock-fitting algorithm for LWR kinematic wave model embedded with linear speed-density relationship
Title | An analytical shock-fitting algorithm for LWR kinematic wave model embedded with linear speed-density relationship |
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Authors | |
Issue Date | 2002 |
Publisher | Pergamon. 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? |
Abstract | In 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 Identifier | http://hdl.handle.net/10722/71023 |
ISSN | 2023 Impact Factor: 5.8 2023 SCImago Journal Rankings: 2.660 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
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dc.contributor.author | Wong, SC | en_HK |
dc.contributor.author | Wong, GCK | en_HK |
dc.date.accessioned | 2010-09-06T06:28:13Z | - |
dc.date.available | 2010-09-06T06:28:13Z | - |
dc.date.issued | 2002 | en_HK |
dc.identifier.citation | Transportation Research Part B: Methodological, 2002, v. 36 n. 8, p. 683-706 | en_HK |
dc.identifier.issn | 0191-2615 | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/71023 | - |
dc.description.abstract | In 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.language | eng | en_HK |
dc.publisher | Pergamon. The Journal's web site is located at http://www.elsevier.com/locate/trb | en_HK |
dc.relation.ispartof | Transportation Research Part B: Methodological | en_HK |
dc.title | An analytical shock-fitting algorithm for LWR kinematic wave model embedded with linear speed-density relationship | en_HK |
dc.type | Article | en_HK |
dc.identifier.openurl | http://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+relationship | en_HK |
dc.identifier.email | Wong, SC:hhecwsc@hku.hk | en_HK |
dc.identifier.authority | Wong, SC=rp00191 | en_HK |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1016/S0191-2615(01)00023-6 | en_HK |
dc.identifier.scopus | eid_2-s2.0-0036722521 | en_HK |
dc.identifier.hkuros | 75989 | en_HK |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-0036722521&selection=ref&src=s&origin=recordpage | en_HK |
dc.identifier.volume | 36 | en_HK |
dc.identifier.issue | 8 | en_HK |
dc.identifier.spage | 683 | en_HK |
dc.identifier.epage | 706 | en_HK |
dc.identifier.isi | WOS:000176658000002 | - |
dc.publisher.place | United Kingdom | en_HK |
dc.identifier.scopusauthorid | Wong, SC=24323361400 | en_HK |
dc.identifier.scopusauthorid | Wong, GCK=7402527086 | en_HK |
dc.identifier.issnl | 0191-2615 | - |