Coupling traffic flow networks to pedestrian motion

  • In the present paper scalar macroscopic models for traffic and pedestrian flows are coupled and the resulting system is investigated numerically. For the traffic flow the classical Lighthill-Whitham model on a network of roads and for the pedestrian flow the Hughes model are used. These models are coupled via terms in the fundamental diagrams mod- eling an influence of the traffic and pedestrian flow on the maximal velocities of the corresponding models. Several physical situations, where pedestrians and cars interact, are investigated.

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Author:Raul Borsche, Anne Meurer
Document Type:Preprint
Language of publication:English
Date of Publication (online):2013/06/04
Year of first Publication:2013
Publishing Institution:Technische Universität Kaiserslautern
Date of the Publication (Server):2013/06/05
Page Number:23
Faculties / Organisational entities:Kaiserslautern - Fachbereich Mathematik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 510 Mathematik
Licence (German):Standard gemäß KLUEDO-Leitlinien vom 10.09.2012