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Article: Numerical simulation of a continuum model for bi-directional pedestrian flow

TitleNumerical simulation of a continuum model for bi-directional pedestrian flow
Authors
Jiang, YWong, SCZhang, PLiu, RDuan, YChoi, K
KeywordsContinuum model
Eikonal-type equation
Fast sweeping method
Finite volume scheme
Pedestrian counterflow
Reactive dynamic user equilibrium
Issue Date2012
PublisherElsevier Inc. The Journal's web site is located at http://www.elsevier.com/locate/amc
Citation
Applied Mathematics And Computation, 2012, v. 218 n. 10, p. 6135-6143 How to Cite?
DOI: http://dx.doi.org/10.1016/j.amc.2011.11.099
AbstractAn algorithm for an extended reactive dynamic user equilibrium model of pedestrian counterflow as a continuum is developed. It is based on a cell-centered high-resolution finite volume scheme with a fast sweeping method for an Eikonal-type equation on an orthogonal grid. A high-order total variation diminishing Runge-Kutta method is adopted for the time integration of semi-discrete equations. The numerical results demonstrate the rationality of the model and efficiency of the algorithm. Some crowd pedestrian flow phenomena, such as dynamic lane formation in bi-directional flow, are observed which are helpful for a global comprehension of pedestrian dynamics. Also, the model can be utilized with different potential applications. © 2011 Elsevier Inc. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/144051
ISSN
0096-3003
2021 Impact Factor: 4.397
2020 SCImago Journal Rankings: 0.972
ISI Accession Number ID
WOS:000298968300029
Funding AgencyGrant Number
Research Grants Council of the Hong Kong Special Administrative Region, ChinaHKU 7184/10E
University of Hong Kong10207394
National Natural Science Foundation of China11072141
National Research Foundation of Korea (NRF)
Korea government (MEST)NRF-2011-0000859
Funding Information:

The work described in this paper was jointly supported by grants from the Research Grants Council of the Hong Kong Special Administrative Region, China(HKU 7184/10E), the University of Hong Kong (10207394), the National Natural Science Foundation of China (11072141), and the National Research Foundation of Korea (NRF) grant funded by the Korea government (MEST) (NRF-2011-0000859).

References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorJiang, Yen_HK
dc.contributor.authorWong, SCen_HK
dc.contributor.authorZhang, Pen_HK
dc.contributor.authorLiu, Ren_HK
dc.contributor.authorDuan, Yen_HK
dc.contributor.authorChoi, Ken_HK
dc.date.accessioned2012-01-12T07:00:53Z-
dc.date.available2012-01-12T07:00:53Z-
dc.date.issued2012en_HK
dc.identifier.citationApplied Mathematics And Computation, 2012, v. 218 n. 10, p. 6135-6143en_HK
dc.identifier.issn0096-3003en_HK
dc.identifier.urihttp://hdl.handle.net/10722/144051-
dc.description.abstractAn algorithm for an extended reactive dynamic user equilibrium model of pedestrian counterflow as a continuum is developed. It is based on a cell-centered high-resolution finite volume scheme with a fast sweeping method for an Eikonal-type equation on an orthogonal grid. A high-order total variation diminishing Runge-Kutta method is adopted for the time integration of semi-discrete equations. The numerical results demonstrate the rationality of the model and efficiency of the algorithm. Some crowd pedestrian flow phenomena, such as dynamic lane formation in bi-directional flow, are observed which are helpful for a global comprehension of pedestrian dynamics. Also, the model can be utilized with different potential applications. © 2011 Elsevier Inc. All rights reserved.en_HK
dc.languageeng-
dc.publisherElsevier Inc. The Journal's web site is located at http://www.elsevier.com/locate/amcen_HK
dc.relation.ispartofApplied Mathematics and Computationen_HK
dc.subjectContinuum modelen_HK
dc.subjectEikonal-type equationen_HK
dc.subjectFast sweeping methoden_HK
dc.subjectFinite volume schemeen_HK
dc.subjectPedestrian counterflowen_HK
dc.subjectReactive dynamic user equilibriumen_HK
dc.titleNumerical simulation of a continuum model for bi-directional pedestrian flowen_HK
dc.typeArticleen_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/j.amc.2011.11.099en_HK
dc.identifier.scopuseid_2-s2.0-84655169787en_HK
dc.identifier.hkuros198251-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-84655169787&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume218en_HK
dc.identifier.issue10en_HK
dc.identifier.spage6135en_HK
dc.identifier.epage6143en_HK
dc.identifier.isiWOS:000298968300029-
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridJiang, Y=35275312000en_HK
dc.identifier.scopusauthoridWong, SC=24323361400en_HK
dc.identifier.scopusauthoridZhang, P=7404158930en_HK
dc.identifier.scopusauthoridLiu, R=7404551751en_HK
dc.identifier.scopusauthoridDuan, Y=26534116800en_HK
dc.identifier.scopusauthoridChoi, K=8390581100en_HK
dc.identifier.citeulike10121915-
dc.identifier.issnl0096-3003-

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