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Article: An efficient discontinuous Galerkin method on triangular meshes for a pedestrian flow model

TitleAn efficient discontinuous Galerkin method on triangular meshes for a pedestrian flow model
Authors
Xia, YWong, SCZhang, MShu, CWLam, WHK
KeywordsContinuum modeling
Discontinuous Galerkin method
Fast sweeping method
Pedestrian flow
Reactive dynamic user equilibrium
Triangular mesh
WENO scheme
Issue Date2008
PublisherJohn Wiley & Sons Ltd. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/1430
Citation
International Journal For Numerical Methods In Engineering, 2008, v. 76 n. 3, p. 337-350 How to Cite?
DOI: http://dx.doi.org/10.1002/nme.2329
AbstractIn this paper, we develop a discontinuous Galerkin method on triangular meshes to solve the reactive dynamic user equilibrium model for pedestrian flows. The pedestrian density in this model is governed by the conservation law in which the flow flux is implicitly dependent on the density through the Eikonal equation. To solve the Eikonal equation efficiently at each time level, we use the fast sweeping method. Two numerical examples are then used to demonstrate the effectiveness of the algorithm. Copyright © 2008 John Wiley & Sons, Ltd.
Persistent Identifierhttp://hdl.handle.net/10722/58563
ISSN
0029-5981
2023 Impact Factor: 2.7
2023 SCImago Journal Rankings: 1.019
ISI Accession Number ID
WOS:000260474700005
Funding AgencyGrant Number
Council of the Hong Kong Special Administrative Region, ChinaHKU 7183/06E
National Natural Science Foundation of China10671190
NSFDMS-0510345
Research Grants Council of the Hong Kong Special Administrative Region, ChinaPolyU 5168/04E
Funding Information:

The research of the second author was supported by a grant from the Research Grants Council of the Hong Kong Special Administrative Region, China (HKU 7183/06E). The research of the third and fourth authors was Supported by the National Natural Science Foundation of China (grant 10671190). Additional support for the fourth author was provided by NSF grant DMS-0510345. The research of the fifth author was supported by a grant from the Research Grants Council of the Hong Kong Special Administrative Region, China (PolyU 5168/04E).

References
References in Scopus
Grants
Dynamic macroscopic modeling of pedestrian flows

 

DC FieldValueLanguage
dc.contributor.authorXia, Yen_HK
dc.contributor.authorWong, SCen_HK
dc.contributor.authorZhang, Men_HK
dc.contributor.authorShu, CWen_HK
dc.contributor.authorLam, WHKen_HK
dc.date.accessioned2010-05-31T03:32:35Z-
dc.date.available2010-05-31T03:32:35Z-
dc.date.issued2008en_HK
dc.identifier.citationInternational Journal For Numerical Methods In Engineering, 2008, v. 76 n. 3, p. 337-350en_HK
dc.identifier.issn0029-5981en_HK
dc.identifier.urihttp://hdl.handle.net/10722/58563-
dc.description.abstractIn this paper, we develop a discontinuous Galerkin method on triangular meshes to solve the reactive dynamic user equilibrium model for pedestrian flows. The pedestrian density in this model is governed by the conservation law in which the flow flux is implicitly dependent on the density through the Eikonal equation. To solve the Eikonal equation efficiently at each time level, we use the fast sweeping method. Two numerical examples are then used to demonstrate the effectiveness of the algorithm. Copyright © 2008 John Wiley & Sons, Ltd.en_HK
dc.languageengen_HK
dc.publisherJohn Wiley & Sons Ltd. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/1430en_HK
dc.relation.ispartofInternational Journal for Numerical Methods in Engineeringen_HK
dc.rightsInternational Journal for Numerical Methods in Engineering. Copyright © John Wiley & Sons Ltd.en_HK
dc.subjectContinuum modelingen_HK
dc.subjectDiscontinuous Galerkin methoden_HK
dc.subjectFast sweeping methoden_HK
dc.subjectPedestrian flowen_HK
dc.subjectReactive dynamic user equilibriumen_HK
dc.subjectTriangular meshen_HK
dc.subjectWENO schemeen_HK
dc.titleAn efficient discontinuous Galerkin method on triangular meshes for a pedestrian flow modelen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0029-5981&volume=76&spage=337&epage=350&date=2008&atitle=An+efficient+discontinuous+Galerkin+method+on+triangular+meshes+for+a+pedestrian+flow+modelen_HK
dc.identifier.emailWong, SC:hhecwsc@hku.hken_HK
dc.identifier.authorityWong, SC=rp00191en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1002/nme.2329en_HK
dc.identifier.scopuseid_2-s2.0-57849162805en_HK
dc.identifier.hkuros153191en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-57849162805&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume76en_HK
dc.identifier.issue3en_HK
dc.identifier.spage337en_HK
dc.identifier.epage350en_HK
dc.identifier.isiWOS:000260474700005-
dc.publisher.placeUnited Kingdomen_HK
dc.relation.projectDynamic macroscopic modeling of pedestrian flows-
dc.identifier.scopusauthoridXia, Y=13907144200en_HK
dc.identifier.scopusauthoridWong, SC=24323361400en_HK
dc.identifier.scopusauthoridZhang, M=7601556898en_HK
dc.identifier.scopusauthoridShu, CW=7202122336en_HK
dc.identifier.scopusauthoridLam, WHK=7203022024en_HK
dc.identifier.issnl0029-5981-

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