Improved macroscopic traffic flow model for aggressive drivers
- Departamento de Matematicas Aplicadas y Sistemas, Universidad Autonoma Metropolitana-Cuajimalpa, 11950 (Mexico)
- Departamento de Fisica, Universidad Autonoma Metropolitana-Iztapalapa, 09340 (Mexico)
As has been done for the treatment of diluted gases, kinetic methods are formulated for the study of unidirectional freeway traffic. Fluid dynamic models obtained from kinetic equations have inherent restrictions, the principal one is the restriction to the low density regime. Macroscopic models obtained from kinetic equations tends to selfrestrict to this regime and makes impossible to observe the medium density region. In this work, we present some results heading to improve this model and extend the observable region. Now, we are presenting a fluid dynamic model for aggressive drivers obtained from kinetic assumptions to extend the model to the medium density region in order to study synchronization phenomena which is a very interesting transition phase between free flow and traffic jams. We are changing the constant variance prefactor condition imposed before by a variance prefactor density dependent, the numerical solution of the model is presented, analyzed and contrasted with the previous one. We are also comparing our results with heuristic macroscopic models and real traffic observations.
- OSTI ID:
- 21511492
- Journal Information:
- AIP Conference Proceedings, Vol. 1332, Issue 1; Conference: 11. Granada seminar on computational and statistical physics, La Herradura (Spain), 13-17 Sep 2010; Other Information: DOI: 10.1063/1.3577677; (c) 2011 American Institute of Physics; ISSN 0094-243X
- Country of Publication:
- United States
- Language:
- English
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