Equation-Free Analysis of Macroscopic Behavior in Traffic and Pedestrian Flow

Christian Marschler; Jan Sieber; Poul G. Hjorth; Jens Starke

doi:10.1007/978-3-319-10629-8_48

Equation-Free Analysis of Macroscopic Behavior in Traffic and Pedestrian Flow

Christian Marschler, Jan Sieber, Poul G. Hjorth, Jens Starke

University of Exeter

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

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Abstract

Equation-free methods make possible an analysis of the evolution of a few coarse-grained or macroscopic quantities for a detailed and realistic model with a large number of fine-grained or microscopic variables, even though no equations are explicitly given on the macroscopic level. This will facilitate a study of how the model behavior depends on parameter values including an understanding of transitions between different types of qualitative behavior. These methods are introduced and explained for traffic jam formation and emergence of oscillatory pedestrian counter flow in a corridor with a narrow door.

Original language	English
Title of host publication	Traffic and Granular Flow '13
Editors	Mohcine Chraibi, Maik Boltes, Andreas Schadschneider, Armin x Armin Seyfried
Publisher	Springer
Publication date	2014
Pages	423-439
ISBN (Print)	978-3-319-10628-1
ISBN (Electronic)	978-3-319-10629-8
DOIs	https://doi.org/10.1007/978-3-319-10629-8_48
Publication status	Published - 2014

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abstract = "Equation-free methods make possible an analysis of the evolution of a few coarse-grained or macroscopic quantities for a detailed and realistic model with a large number of fine-grained or microscopic variables, even though no equations are explicitly given on the macroscopic level. This will facilitate a study of how the model behavior depends on parameter values including an understanding of transitions between different types of qualitative behavior. These methods are introduced and explained for traffic jam formation and emergence of oscillatory pedestrian counter flow in a corridor with a narrow door.",

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Equation-Free Analysis of Macroscopic Behavior in Traffic and Pedestrian Flow. / Marschler, Christian; Sieber, Jan; Hjorth, Poul G. et al.
Traffic and Granular Flow '13. ed. / Mohcine Chraibi; Maik Boltes; Andreas Schadschneider; Armin x Armin Seyfried. Springer, 2014. p. 423-439.

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

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T1 - Equation-Free Analysis of Macroscopic Behavior in Traffic and Pedestrian Flow

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AU - Sieber, Jan

AU - Hjorth, Poul G.

AU - Starke, Jens

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AB - Equation-free methods make possible an analysis of the evolution of a few coarse-grained or macroscopic quantities for a detailed and realistic model with a large number of fine-grained or microscopic variables, even though no equations are explicitly given on the macroscopic level. This will facilitate a study of how the model behavior depends on parameter values including an understanding of transitions between different types of qualitative behavior. These methods are introduced and explained for traffic jam formation and emergence of oscillatory pedestrian counter flow in a corridor with a narrow door.

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EP - 439

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A2 - Schadschneider, Andreas

A2 - Armin Seyfried, Armin x

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Equation-Free Analysis of Macroscopic Behavior in Traffic and Pedestrian Flow

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