File Download
 
Links for fulltext
(May Require Subscription)
 
Supplementary

Article: A higher-order macroscopic model for pedestrian flows
  • Basic View
  • Metadata View
  • XML View
TitleA higher-order macroscopic model for pedestrian flows
 
AuthorsJiang, YQ2
Zhang, P3
Wong, SC1
Liu, RX2
 
KeywordsLinear stability analysis
Obstruction
Path choice
Pedestrian crowd dynamics
Traffic instability
Unstructured meshes
 
Issue Date2010
 
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/physa
 
CitationPhysica A: Statistical Mechanics And Its Applications, 2010, v. 389 n. 21, p. 4623-4635 [How to Cite?]
DOI: http://dx.doi.org/10.1016/j.physa.2010.05.003
 
AbstractThis paper develops a higher-order macroscopic model of pedestrian crowd dynamics derived from fluid dynamics that consists of two-dimensional Euler equations with relaxation. The desired directional motion of pedestrians is determined by an Eikonal-type equation, which describes a problem that minimizes the instantaneous total walking cost from origin to destination. A linear stability analysis of the model demonstrates its ability to describe traffic instability in crowd flows. The algorithm to solve the macroscopic model is composed of a splitting technique introduced to treat the relaxation terms, a second-order positivity-preserving central-upwind scheme for hyperbolic conservation laws, and a fast-sweeping method for the Eikonal-type equation on unstructured meshes. To test the applicability of the model, we study a challenging pedestrian crowd flow problem of the presence of an obstruction in a two-dimensional continuous walking facility. The numerical results indicate the rationality of the model and the effectiveness of the computational algorithm in predicting the flux or density distribution and the macroscopic behavior of the pedestrian crowd flow. The simulation results are compared with those obtained by the two-dimensional LighthillWhithamRichards pedestrian flow model with various model parameters, which further shows that the macroscopic model is able to correctly describe complex phenomena such as "stop-and-go waves" observed in empirical pedestrian flows. © 2010 Elsevier B.V. All rights reserved.
 
ISSN0378-4371
2013 Impact Factor: 1.722
2013 SCImago Journal Rankings: 0.733
 
DOIhttp://dx.doi.org/10.1016/j.physa.2010.05.003
 
ISI Accession Number IDWOS:000282241600019
Funding AgencyGrant Number
National Natural Science Foundation of China70629001
10771134
National Basic Research Program of China2006CB705500
Research Grants Council of the Hong Kong Special Administrative Region of ChinaHKU7184/10E
University of Hong Kong10207394
Funding Information:

The work described in this paper was jointly supported by grants from the National Natural Science Foundation of China (70629001, 10771134), the National Basic Research Program of China (2006CB705500), the Research Grants Council of the Hong Kong Special Administrative Region of China (Project No.: HKU7184/10E), and the University of Hong Kong (10207394).

 
ReferencesReferences in Scopus
 
DC FieldValue
dc.contributor.authorJiang, YQ
 
dc.contributor.authorZhang, P
 
dc.contributor.authorWong, SC
 
dc.contributor.authorLiu, RX
 
dc.date.accessioned2010-10-31T10:23:02Z
 
dc.date.available2010-10-31T10:23:02Z
 
dc.date.issued2010
 
dc.description.abstractThis paper develops a higher-order macroscopic model of pedestrian crowd dynamics derived from fluid dynamics that consists of two-dimensional Euler equations with relaxation. The desired directional motion of pedestrians is determined by an Eikonal-type equation, which describes a problem that minimizes the instantaneous total walking cost from origin to destination. A linear stability analysis of the model demonstrates its ability to describe traffic instability in crowd flows. The algorithm to solve the macroscopic model is composed of a splitting technique introduced to treat the relaxation terms, a second-order positivity-preserving central-upwind scheme for hyperbolic conservation laws, and a fast-sweeping method for the Eikonal-type equation on unstructured meshes. To test the applicability of the model, we study a challenging pedestrian crowd flow problem of the presence of an obstruction in a two-dimensional continuous walking facility. The numerical results indicate the rationality of the model and the effectiveness of the computational algorithm in predicting the flux or density distribution and the macroscopic behavior of the pedestrian crowd flow. The simulation results are compared with those obtained by the two-dimensional LighthillWhithamRichards pedestrian flow model with various model parameters, which further shows that the macroscopic model is able to correctly describe complex phenomena such as "stop-and-go waves" observed in empirical pedestrian flows. © 2010 Elsevier B.V. All rights reserved.
 
dc.description.natureLink_to_subscribed_fulltext
 
dc.identifier.citationPhysica A: Statistical Mechanics And Its Applications, 2010, v. 389 n. 21, p. 4623-4635 [How to Cite?]
DOI: http://dx.doi.org/10.1016/j.physa.2010.05.003
 
dc.identifier.citeulike7246303
 
dc.identifier.doihttp://dx.doi.org/10.1016/j.physa.2010.05.003
 
dc.identifier.epage4635
 
dc.identifier.hkuros178938
 
dc.identifier.isiWOS:000282241600019
Funding AgencyGrant Number
National Natural Science Foundation of China70629001
10771134
National Basic Research Program of China2006CB705500
Research Grants Council of the Hong Kong Special Administrative Region of ChinaHKU7184/10E
University of Hong Kong10207394
Funding Information:

The work described in this paper was jointly supported by grants from the National Natural Science Foundation of China (70629001, 10771134), the National Basic Research Program of China (2006CB705500), the Research Grants Council of the Hong Kong Special Administrative Region of China (Project No.: HKU7184/10E), and the University of Hong Kong (10207394).

 
dc.identifier.issn0378-4371
2013 Impact Factor: 1.722
2013 SCImago Journal Rankings: 0.733
 
dc.identifier.issue21
 
dc.identifier.openurl
 
dc.identifier.scopuseid_2-s2.0-77956172545
 
dc.identifier.spage4623
 
dc.identifier.urihttp://hdl.handle.net/10722/124242
 
dc.identifier.volume389
 
dc.languageeng
 
dc.publisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/physa
 
dc.publisher.placeNetherlands
 
dc.relation.ispartofPhysica A: Statistical Mechanics and its Applications
 
dc.relation.referencesReferences in Scopus
 
dc.subjectLinear stability analysis
 
dc.subjectObstruction
 
dc.subjectPath choice
 
dc.subjectPedestrian crowd dynamics
 
dc.subjectTraffic instability
 
dc.subjectUnstructured meshes
 
dc.titleA higher-order macroscopic model for pedestrian flows
 
dc.typeArticle
 
<?xml encoding="utf-8" version="1.0"?>
<item><contributor.author>Jiang, YQ</contributor.author>
<contributor.author>Zhang, P</contributor.author>
<contributor.author>Wong, SC</contributor.author>
<contributor.author>Liu, RX</contributor.author>
<date.accessioned>2010-10-31T10:23:02Z</date.accessioned>
<date.available>2010-10-31T10:23:02Z</date.available>
<date.issued>2010</date.issued>
<identifier.citation>Physica A: Statistical Mechanics And Its Applications, 2010, v. 389 n. 21, p. 4623-4635</identifier.citation>
<identifier.issn>0378-4371</identifier.issn>
<identifier.uri>http://hdl.handle.net/10722/124242</identifier.uri>
<description.abstract>This paper develops a higher-order macroscopic model of pedestrian crowd dynamics derived from fluid dynamics that consists of two-dimensional Euler equations with relaxation. The desired directional motion of pedestrians is determined by an Eikonal-type equation, which describes a problem that minimizes the instantaneous total walking cost from origin to destination. A linear stability analysis of the model demonstrates its ability to describe traffic instability in crowd flows. The algorithm to solve the macroscopic model is composed of a splitting technique introduced to treat the relaxation terms, a second-order positivity-preserving central-upwind scheme for hyperbolic conservation laws, and a fast-sweeping method for the Eikonal-type equation on unstructured meshes. To test the applicability of the model, we study a challenging pedestrian crowd flow problem of the presence of an obstruction in a two-dimensional continuous walking facility. The numerical results indicate the rationality of the model and the effectiveness of the computational algorithm in predicting the flux or density distribution and the macroscopic behavior of the pedestrian crowd flow. The simulation results are compared with those obtained by the two-dimensional LighthillWhithamRichards pedestrian flow model with various model parameters, which further shows that the macroscopic model is able to correctly describe complex phenomena such as &quot;stop-and-go waves&quot; observed in empirical pedestrian flows. &#169; 2010 Elsevier B.V. All rights reserved.</description.abstract>
<language>eng</language>
<publisher>Elsevier BV. The Journal&apos;s web site is located at http://www.elsevier.com/locate/physa</publisher>
<relation.ispartof>Physica A: Statistical Mechanics and its Applications</relation.ispartof>
<subject>Linear stability analysis</subject>
<subject>Obstruction</subject>
<subject>Path choice</subject>
<subject>Pedestrian crowd dynamics</subject>
<subject>Traffic instability</subject>
<subject>Unstructured meshes</subject>
<title>A higher-order macroscopic model for pedestrian flows</title>
<type>Article</type>
<identifier.openurl>http://library.hku.hk:4550/resserv?sid=HKU:IR&amp;issn=0378-4371&amp;volume=389&amp;spage=4623&amp;epage=4635&amp;date=2010&amp;atitle=A+higher-order+macroscopic+model+for+pedestrian+flows</identifier.openurl>
<description.nature>Link_to_subscribed_fulltext</description.nature>
<identifier.doi>10.1016/j.physa.2010.05.003</identifier.doi>
<identifier.scopus>eid_2-s2.0-77956172545</identifier.scopus>
<identifier.hkuros>178938</identifier.hkuros>
<relation.references>http://www.scopus.com/mlt/select.url?eid=2-s2.0-77956172545&amp;selection=ref&amp;src=s&amp;origin=recordpage</relation.references>
<identifier.volume>389</identifier.volume>
<identifier.issue>21</identifier.issue>
<identifier.spage>4623</identifier.spage>
<identifier.epage>4635</identifier.epage>
<identifier.isi>WOS:000282241600019</identifier.isi>
<publisher.place>Netherlands</publisher.place>
<identifier.citeulike>7246303</identifier.citeulike>
</item>
Author Affiliations
  1. The University of Hong Kong
  2. University of Science and Technology of China
  3. Shanghai University