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JOURNALS // Computer Research and Modeling // Archive

Computer Research and Modeling, 2011 Volume 3, Issue 4, Pages 389–412 (Mi crm566)

This article is cited in 6 papers

MODELS IN PHYSICS AND TECHNOLOGY

Numerical study of traffic flows by the hydrodynamic models

I. I. Morozov, A. V. Gasnikov, V. N. Tarasov, Ya. A. Kholodov, A. S. Kholodov

Moscow Institute of Physics and Technology, Dolgoprudnyi, Moscow region, 141700, Russia

Abstract: The purpose of this paper is to generalize the macroscopic hydrodynamic vehicular traffic models by using the algorithm for constructing the adequate state equation — dependence the pressure from traffic density by taking into account the real experimental data (possibly using the parametric solutions for model equations). It is proved that this kind of state equation which closed model equations system and obtained from the experimentally observed form of the fundamental diagram — dependence the traffic intensity from its density, completely determines the all properties of the used phenomenological model.

Keywords: vehicular traffic, the state equation, hyperbolic equation systems, traffic flows, phenomenological models.

UDC: 519.6

Received: 23.11.2011

DOI: 10.20537/2076-7633-2011-3-4-389-412



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