File Download
There are no files associated with this item.
Supplementary
-
Citations:
- Scopus: 0
- Appears in Collections:
Article: Front tracking algorithm for the Lighthill-Whitham-Richards traffic flow model with a piecewise quadratic, continuous, non-smooth, and non-concave fundamental diagram
Title | Front tracking algorithm for the Lighthill-Whitham-Richards traffic flow model with a piecewise quadratic, continuous, non-smooth, and non-concave fundamental diagram |
---|---|
Authors | |
Keywords | Front tracking algorithm LWR model Piecewise quadratic fundamental diagram Traffic flow WENO scheme |
Issue Date | 2009 |
Publisher | University 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? |
Abstract | We 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 Identifier | http://hdl.handle.net/10722/70925 |
ISSN | 2023 Impact Factor: 1.3 2023 SCImago Journal Rankings: 0.594 |
References |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Chen, W | en_HK |
dc.contributor.author | Wong, SC | en_HK |
dc.contributor.author | Shu, CW | en_HK |
dc.contributor.author | Zhang, P | en_HK |
dc.date.accessioned | 2010-09-06T06:27:20Z | - |
dc.date.available | 2010-09-06T06:27:20Z | - |
dc.date.issued | 2009 | en_HK |
dc.identifier.citation | International Journal Of Numerical Analysis And Modeling, 2009, v. 6 n. 4, p. 562-585 | en_HK |
dc.identifier.issn | 1705-5105 | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/70925 | - |
dc.description.abstract | We 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.language | eng | en_HK |
dc.publisher | University of Alberta, Department of Mathematical & Statistical Sciences. The Journal's web site is located at http://www.math.ualberta.ca/ijnam | en_HK |
dc.relation.ispartof | International Journal of Numerical Analysis and Modeling | en_HK |
dc.subject | Front tracking algorithm | en_HK |
dc.subject | LWR model | en_HK |
dc.subject | Piecewise quadratic fundamental diagram | en_HK |
dc.subject | Traffic flow | en_HK |
dc.subject | WENO scheme | en_HK |
dc.title | Front tracking algorithm for the Lighthill-Whitham-Richards traffic flow model with a piecewise quadratic, continuous, non-smooth, and non-concave fundamental diagram | en_HK |
dc.type | Article | en_HK |
dc.identifier.openurl | http://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.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.scopus | eid_2-s2.0-70350331467 | en_HK |
dc.identifier.hkuros | 168126 | en_HK |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-70350331467&selection=ref&src=s&origin=recordpage | en_HK |
dc.identifier.volume | 6 | en_HK |
dc.identifier.issue | 4 | en_HK |
dc.identifier.spage | 562 | en_HK |
dc.identifier.epage | 585 | en_HK |
dc.publisher.place | Canada | en_HK |
dc.identifier.scopusauthorid | Chen, W=23666395100 | en_HK |
dc.identifier.scopusauthorid | Wong, SC=24323361400 | en_HK |
dc.identifier.scopusauthorid | Shu, CW=7202122336 | en_HK |
dc.identifier.scopusauthorid | Zhang, P=9242315800 | en_HK |
dc.identifier.issnl | 1705-5105 | - |