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 |
|---|---|
| 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): |
