Numerical study of traffic flows by the hydrodynamic models

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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
Citation in English: Morozov I.I., Gasnikov A.V., Tarasov V.N., Kholodov Y.A., Kholodov A.S. Numerical study of traffic flows by the hydrodynamic models // Computer Research and Modeling, 2011, vol. 3, no. 4, pp. 389-412
Citation in English: Morozov I.I., Gasnikov A.V., Tarasov V.N., Kholodov Y.A., Kholodov A.S. Numerical study of traffic flows by the hydrodynamic models // Computer Research and Modeling, 2011, vol. 3, no. 4, pp. 389-412
DOI: 10.20537/2076-7633-2011-3-4-389-412
According to Crossref, this article is cited by:
  • Yaroslav Aleksandrovich Kholodov, Andrey Evgen’evich Alekseenko, Mikhail Olegovich Vasilev, Alexander Sergeevich Kholodov. Developing the mathematical model of road junction by the hydrodynamic approach. // Computer Research and Modeling. 2014. — V. 6, no. 4. — P. 503. DOI: 10.20537/2076-7633-2014-6-4-503-522
  • D. O. Volkov, S. N. Garichev, R. A. Gorbachev, N. N. Moroz. Mathematical Simulation of Transport Network Load with a View to Assessing Viability of Building New Types of Network Systems. — 2015. — P. 20. DOI: 10.1109/EnT.2015.30
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