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Developing the mathematical model of road junction by the hydrodynamic approach
Computer Research and Modeling, 2014, v. 6, no. 4, pp. 503-522Views (last year): 4.The purpose of this paper is to develop a macroscopic hydrodynamic model describing the vehicular traffic on a road junction and taking into account the distribution of traffic light phases and the existing road markings.
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Numerical study of traffic flows by the hydrodynamic models
Computer Research and Modeling, 2011, v. 3, no. 4, pp. 389-412Views (last year): 7. Citations: 7 (RSCI).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.
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International Interdisciplinary Conference "Mathematics. Computing. Education"