Multivalued Fundamental Diagrams And Stop And Go Waves For Continuum Traffic Equations
- In the present paper a kinetic model for vehicular traffic leading to multivalued fundamental diagrams is developed and investigated in detail. For this model phase transitions can appear depending on the local density and velocity of the flow. A derivation of associated macroscopic traffic equations from the kinetic equation is given. Moreover, numerical experiments show the appearance of stop and go waves for highway traffic with a bottleneck.
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| Author: | M. Günther, A. Klar, T. Materne, R. Wegener |
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| URN: | urn:nbn:de:hbz:386-kluedo-12978 |
| Series (Serial Number): | Berichte des Fraunhofer-Instituts für Techno- und Wirtschaftsmathematik (ITWM Report) (35) |
| Document Type: | Report |
| Language of publication: | English |
| Year of Completion: | 2002 |
| Year of first Publication: | 2002 |
| Publishing Institution: | Fraunhofer-Institut für Techno- und Wirtschaftsmathematik |
| Date of the Publication (Server): | 2004/02/02 |
| Tag: | kinetic derivation; macroscopic equations; multivalued fundamental diagram; phase transitions; stop and go waves; traffic flow |
| Faculties / Organisational entities: | Fraunhofer (ITWM) |
| DDC-Cassification: | 5 Naturwissenschaften und Mathematik / 510 Mathematik |
| Licence (German): |  Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011 |