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.
Author: | Raul Borsche, Anne Meurer |
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URN: | urn:nbn:de:hbz:386-kluedo-35291 |
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 |