Geodesic
Mathematical modeling of traffic flows using continua approach. Visco–elastic effect in traffic flows
Matematičeskoe modelirovanie, Tome 26 (2014) no. 7, pp. 54-64

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In this paper the further development of continua models for traffic flows simulations is presented. The model for changeable sound speed is developed. Numerical simulations of traffic flows using visco-elastic effect were performed. We consider the effects, based on the driver’s estimation of velocity gradients between his automobile and the transport ahead. According to velocity gradients we can predict the traffic situation and the change of density of the traffic.
Keywords: mathematical modeling, traffic flows, continua mechanics, viscosity. 
@article{MM_2014_26_7_a3,
     author = {M. N. Smirnova and A. I. Bogdanova and Zuojin Zhu and A. S. Manenkova and N. N. Smirnov},
     title = {Mathematical modeling of traffic flows using continua approach. {Visco{\textendash}elastic} effect in traffic flows},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {54--64},
     publisher = {mathdoc},
     volume = {26},
     number = {7},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2014_26_7_a3/}
}
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M. N. Smirnova; A. I. Bogdanova; Zuojin Zhu; A. S. Manenkova; N. N. Smirnov. Mathematical modeling of traffic flows using continua approach. Visco–elastic effect in traffic flows. Matematičeskoe modelirovanie, Tome 26 (2014) no. 7, pp. 54-64. http://geodesic.mathdoc.fr/item/MM_2014_26_7_a3/