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Article: Numerical simulation of a continuum model for bi-directional pedestrian flow
Title | Numerical simulation of a continuum model for bi-directional pedestrian flow | ||||||||||||
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Authors | |||||||||||||
Keywords | Continuum model Eikonal-type equation Fast sweeping method Finite volume scheme Pedestrian counterflow Reactive dynamic user equilibrium | ||||||||||||
Issue Date | 2012 | ||||||||||||
Publisher | Elsevier 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? | ||||||||||||
Abstract | An 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 Identifier | http://hdl.handle.net/10722/144051 | ||||||||||||
ISSN | 2023 Impact Factor: 3.5 2023 SCImago Journal Rankings: 1.026 | ||||||||||||
ISI Accession Number ID |
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 |
DC Field | Value | Language |
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dc.contributor.author | Jiang, Y | en_HK |
dc.contributor.author | Wong, SC | en_HK |
dc.contributor.author | Zhang, P | en_HK |
dc.contributor.author | Liu, R | en_HK |
dc.contributor.author | Duan, Y | en_HK |
dc.contributor.author | Choi, K | en_HK |
dc.date.accessioned | 2012-01-12T07:00:53Z | - |
dc.date.available | 2012-01-12T07:00:53Z | - |
dc.date.issued | 2012 | en_HK |
dc.identifier.citation | Applied Mathematics And Computation, 2012, v. 218 n. 10, p. 6135-6143 | en_HK |
dc.identifier.issn | 0096-3003 | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/144051 | - |
dc.description.abstract | An 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.language | eng | - |
dc.publisher | Elsevier Inc. The Journal's web site is located at http://www.elsevier.com/locate/amc | en_HK |
dc.relation.ispartof | Applied Mathematics and Computation | en_HK |
dc.subject | Continuum model | en_HK |
dc.subject | Eikonal-type equation | en_HK |
dc.subject | Fast sweeping method | en_HK |
dc.subject | Finite volume scheme | en_HK |
dc.subject | Pedestrian counterflow | en_HK |
dc.subject | Reactive dynamic user equilibrium | en_HK |
dc.title | Numerical simulation of a continuum model for bi-directional pedestrian flow | en_HK |
dc.type | Article | 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/j.amc.2011.11.099 | en_HK |
dc.identifier.scopus | eid_2-s2.0-84655169787 | en_HK |
dc.identifier.hkuros | 198251 | - |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-84655169787&selection=ref&src=s&origin=recordpage | en_HK |
dc.identifier.volume | 218 | en_HK |
dc.identifier.issue | 10 | en_HK |
dc.identifier.spage | 6135 | en_HK |
dc.identifier.epage | 6143 | en_HK |
dc.identifier.isi | WOS:000298968300029 | - |
dc.publisher.place | United States | en_HK |
dc.identifier.scopusauthorid | Jiang, Y=35275312000 | en_HK |
dc.identifier.scopusauthorid | Wong, SC=24323361400 | en_HK |
dc.identifier.scopusauthorid | Zhang, P=7404158930 | en_HK |
dc.identifier.scopusauthorid | Liu, R=7404551751 | en_HK |
dc.identifier.scopusauthorid | Duan, Y=26534116800 | en_HK |
dc.identifier.scopusauthorid | Choi, K=8390581100 | en_HK |
dc.identifier.citeulike | 10121915 | - |
dc.identifier.issnl | 0096-3003 | - |