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Matematicheskoe modelirovanie, 2014, Volume 26, Number 7, Pages 54–64 (Mi mm3496)  

This article is cited in 2 scientific papers (total in 2 papers)

Mathematical modeling of traffic flows using continua approach. Visco–elastic effect in traffic flows

M. N. Smirnovaa, A. I. Bogdanovaa, Zuojin Zhub, A. S. Manenkovaa, N. N. Smirnova

a Lomonosov Moscow State University, the department of Mechanics and Mathematics
b Multiphase-Reactive-Flow Division, DTSE, Hefei, Anhui, 230026, P.R. China
Full-text PDF (591 kB) Citations (2)
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Abstract: 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.
Received: 23.04.2013
Document Type: Article
Language: Russian
Citation: 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”, Matem. Mod., 26:7 (2014), 54–64
Citation in format AMSBIB
\Bibitem{SmiBogZhu14}
\by M.~N.~Smirnova, A.~I.~Bogdanova, Zuojin~Zhu, A.~S.~Manenkova, N.~N.~Smirnov
\paper Mathematical modeling of traffic flows using continua approach. Visco–elastic effect in traffic flows
\jour Matem. Mod.
\yr 2014
\vol 26
\issue 7
\pages 54--64
\mathnet{http://mi.mathnet.ru/mm3496}
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  • https://www.mathnet.ru/eng/mm/v26/i7/p54
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Abstract page:438
    Full-text PDF :484
    References:66
    First page:23
     
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