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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Metadaten
Author:M. Günther, A. Klar, T. Materne, R. Wegener
URN (permanent link):urn:nbn:de:hbz:386-kluedo-12978
Serie (Series 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 Publication:2002
Publishing Institute:Fraunhofer-Institut für Techno- und Wirtschaftsmathematik
Tag:kinetic derivation; macroscopic equations; multivalued fundamental diagram; phase transitions; stop and go waves; traffic flow
Faculties / Organisational entities:Fraunhofer (ITWM)
DDC-Cassification:510 Mathematik

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