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Article: High-order computational scheme for a dynamic continuum model for bi-directional pedestrian flows

TitleHigh-order computational scheme for a dynamic continuum model for bi-directional pedestrian flows
Authors
Issue Date2011
PublisherWiley-Blackwell Publishing, Inc.. The Journal's web site is located at http://www.wiley.com/bw/journal.asp?ref=1093-9687
Citation
Computer-Aided Civil And Infrastructure Engineering, 2011, v. 26 n. 4, p. 298-310 How to Cite?
AbstractIn this article, we present a high-order weighted essentially non-oscillatory (WENO) scheme, coupled with a high-order fast sweeping method, for solving a dynamic continuum model for bi-directional pedestrian flows. We first review the dynamic continuum model for bi-directional pedestrian flows. This model is composed of a coupled system of a conservation law and an Eikonal equation. Then we present the first-order Lax-Friedrichs difference scheme with first-order Euler forward time discretization, the third-order WENO scheme with third-order total variation diminishing (TVD) Runge-Kutta time discretization, and the fast sweeping method, and demonstrate how to apply them to the model under study. We present a comparison of the numerical results of the model from the first-order and high-order methods, and conclude that the high-order method is more efficient than the first-order one, and they both converge to the same solution of the physical model. © 2010 Computer-Aided Civil and Infrastructure Engineering.
Persistent Identifierhttp://hdl.handle.net/10722/150556
ISSN
2015 Impact Factor: 5.288
2015 SCImago Journal Rankings: 0.901
ISI Accession Number ID
Funding AgencyGrant Number
CASKJCX1-YW-21
AROW911NF-08-1-0520
NSFDMS-0809086
Research Grants Council of the Hong Kong Special Administrative RegionHKU7184/10E
Funding Information:

Research of the first and second authors is partially supported by CAS grant KJCX1-YW-21. Research of the third author is partially supported by ARO grant W911NF-08-1-0520 and NSF grant DMS-0809086. Research of the fourth author is partially supported by a grant from the Research Grants Council of the Hong Kong Special Administrative Region (Project No.: HKU7184/10E).

References

 

DC FieldValueLanguage
dc.contributor.authorXiong, Ten_US
dc.contributor.authorZhang, Men_US
dc.contributor.authorShu, CWen_US
dc.contributor.authorWong, SCen_US
dc.contributor.authorZhang, Pen_US
dc.date.accessioned2012-06-26T06:05:41Z-
dc.date.available2012-06-26T06:05:41Z-
dc.date.issued2011en_US
dc.identifier.citationComputer-Aided Civil And Infrastructure Engineering, 2011, v. 26 n. 4, p. 298-310en_US
dc.identifier.issn1093-9687en_US
dc.identifier.urihttp://hdl.handle.net/10722/150556-
dc.description.abstractIn this article, we present a high-order weighted essentially non-oscillatory (WENO) scheme, coupled with a high-order fast sweeping method, for solving a dynamic continuum model for bi-directional pedestrian flows. We first review the dynamic continuum model for bi-directional pedestrian flows. This model is composed of a coupled system of a conservation law and an Eikonal equation. Then we present the first-order Lax-Friedrichs difference scheme with first-order Euler forward time discretization, the third-order WENO scheme with third-order total variation diminishing (TVD) Runge-Kutta time discretization, and the fast sweeping method, and demonstrate how to apply them to the model under study. We present a comparison of the numerical results of the model from the first-order and high-order methods, and conclude that the high-order method is more efficient than the first-order one, and they both converge to the same solution of the physical model. © 2010 Computer-Aided Civil and Infrastructure Engineering.en_US
dc.languageengen_US
dc.publisherWiley-Blackwell Publishing, Inc.. The Journal's web site is located at http://www.wiley.com/bw/journal.asp?ref=1093-9687en_US
dc.relation.ispartofComputer-Aided Civil and Infrastructure Engineeringen_US
dc.rightsThis is the accepted version of the following article: Computer-Aided Civil And Infrastructure Engineering, 2011, v. 26 n. 4, p. 298-310 which has been published in final form at http://onlinelibrary.wiley.com/doi/10.1111/j.1467-8667.2010.00688.x/abstract-
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.titleHigh-order computational scheme for a dynamic continuum model for bi-directional pedestrian flowsen_US
dc.typeArticleen_US
dc.identifier.emailWong, SC:hhecwsc@hku.hken_US
dc.identifier.authorityWong, SC=rp00191en_US
dc.description.naturepostprinten_US
dc.identifier.doi10.1111/j.1467-8667.2010.00688.xen_US
dc.identifier.scopuseid_2-s2.0-79952591316en_US
dc.identifier.hkuros184854-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-79952591316&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume26en_US
dc.identifier.issue4en_US
dc.identifier.spage298en_US
dc.identifier.epage310en_US
dc.identifier.isiWOS:000288266000005-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridXiong, T=35276498600en_US
dc.identifier.scopusauthoridZhang, M=7601556898en_US
dc.identifier.scopusauthoridShu, CW=7202122336en_US
dc.identifier.scopusauthoridWong, SC=24323361400en_US
dc.identifier.scopusauthoridZhang, P=7404158930en_US
dc.identifier.citeulike8993276-

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