A two-dimensional model of pedestrian flow generating pattern formation

Stefan Berres; Ricardo Ruiz Baier; Hartmut Schwandt; Elmer M. Tory

doi:10.1142/9789814417099_0026

A two-dimensional model of pedestrian flow generating pattern formation

Stefan Berres, Ricardo Ruiz Baier, Hartmut Schwandt, Elmer M. Tory

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Research › peer-review

Abstract

The pedestrian flow at a crossing is modeled by a two-dimensional system of conservation laws with a location-dependent flux function. Different populations moving in different directions are represented by different phases. Numerical simulations show that the hyperbolic-elliptic degenerate type of equation-system leads to spatial segregation if the initial data are chosen inside the elliptic region of the phase space.

Original language	English
Title of host publication	Hyperbolic Problems
Subtitle of host publication	Theory, Numericas and Applications
Editors	Tatsien Li, Song Jiang
Place of Publication	China
Publisher	Higher Education Press
Pages	304-311
Number of pages	8
Volume	1
ISBN (Electronic)	978-981-4417-10-5
ISBN (Print)	978-981-4417-07-5, 978-981-4417-06-8
DOIs	https://doi.org/10.1142/9789814417099_0026
Publication status	Published - 2012
Externally published	Yes
Event	International Conference on Hyperbolic Problems 2010: Theory, Numerics and Applications - Beijing, China Duration: 15 Jun 2010 → 19 Jun 2010 Conference number: 13th

Conference

Conference	International Conference on Hyperbolic Problems 2010
Abbreviated title	HYP 2010
Country/Territory	China
City	Beijing
Period	15/06/10 → 19/06/10

Access to Document

10.1142/9789814417099_0026

Cite this

@inproceedings{36bd8cbc1955472581f76ab0a03b5eac,

title = "A two-dimensional model of pedestrian flow generating pattern formation",

abstract = "The pedestrian flow at a crossing is modeled by a two-dimensional system of conservation laws with a location-dependent flux function. Different populations moving in different directions are represented by different phases. Numerical simulations show that the hyperbolic-elliptic degenerate type of equation-system leads to spatial segregation if the initial data are chosen inside the elliptic region of the phase space.",

author = "Stefan Berres and \{Ruiz Baier\}, Ricardo and Hartmut Schwandt and Tory, \{Elmer M.\}",

year = "2012",

doi = "10.1142/9789814417099\_0026",

language = "English",

isbn = "978-981-4417-07-5",

volume = "1",

pages = "304--311",

editor = "Tatsien Li and Song Jiang",

booktitle = "Hyperbolic Problems",

publisher = "Higher Education Press",

address = "China",

note = "International Conference on Hyperbolic Problems 2010 : Theory, Numerics and Applications, HYP 2010 ; Conference date: 15-06-2010 Through 19-06-2010",

}

Berres, S, Ruiz Baier, R, Schwandt, H & Tory, EM 2012, A two-dimensional model of pedestrian flow generating pattern formation. in T Li & S Jiang (eds), Hyperbolic Problems: Theory, Numericas and Applications. vol. 1, Higher Education Press, China, pp. 304-311, International Conference on Hyperbolic Problems 2010, Beijing, China, 15/06/10. https://doi.org/10.1142/9789814417099_0026

A two-dimensional model of pedestrian flow generating pattern formation. / Berres, Stefan; Ruiz Baier, Ricardo; Schwandt, Hartmut et al.
Hyperbolic Problems: Theory, Numericas and Applications. ed. / Tatsien Li; Song Jiang. Vol. 1 China: Higher Education Press, 2012. p. 304-311.

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Research › peer-review

TY - GEN

T1 - A two-dimensional model of pedestrian flow generating pattern formation

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AU - Ruiz Baier, Ricardo

AU - Schwandt, Hartmut

AU - Tory, Elmer M.

N1 - Conference code: 13th

PY - 2012

Y1 - 2012

N2 - The pedestrian flow at a crossing is modeled by a two-dimensional system of conservation laws with a location-dependent flux function. Different populations moving in different directions are represented by different phases. Numerical simulations show that the hyperbolic-elliptic degenerate type of equation-system leads to spatial segregation if the initial data are chosen inside the elliptic region of the phase space.

AB - The pedestrian flow at a crossing is modeled by a two-dimensional system of conservation laws with a location-dependent flux function. Different populations moving in different directions are represented by different phases. Numerical simulations show that the hyperbolic-elliptic degenerate type of equation-system leads to spatial segregation if the initial data are chosen inside the elliptic region of the phase space.

U2 - 10.1142/9789814417099_0026

DO - 10.1142/9789814417099_0026

M3 - Conference Paper

SN - 978-981-4417-07-5

SN - 978-981-4417-06-8

VL - 1

SP - 304

EP - 311

BT - Hyperbolic Problems

A2 - Li, Tatsien

A2 - Jiang, Song

PB - Higher Education Press

CY - China

T2 - International Conference on Hyperbolic Problems 2010

Y2 - 15 June 2010 through 19 June 2010

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