Journal of Computational and Engineering Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



J. Comp. Eng. Math.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Journal of Computational and Engineering Mathematics, 2021, Volume 8, Issue 4, Pages 37–44
DOI: https://doi.org/10.14529/jcem210405
(Mi jcem203)
 

This article is cited in 1 scientific paper (total in 1 paper)

Computational Mathematics

Macro model of transport flow at the crossroads

A. S. Konkina, A. A. Mukhametyarova

South Ural State University, Chelyabinsk, Russian Federation
Full-text PDF (266 kB) Citations (1)
Abstract: Currently, one of the important problems of the megalopolis is traffic management, and in connection with the problem of the formation of predatory and congestion situations in settlements, respectively, these studies are relevant. There are several approaches to mathematical modelling of the behaviour of vehicle traffic. The most common ones: microscopic, macroscopic, based on the theory of cellular automata. The third approach is macroscopic, with its help analog models are built, and the traffic flow is considered as a hydrodynamic, or gas-dynamic flow. Using this approach, you can find the time or traffic intensity, average speed, and the level of network load. One of the creators of this approach, which simulates the traffic flow by the Navier–Stokes system, which describes the flow of a viscous incompressible fluid, is A.B. Kurzhansky. A distinctive feature of this article is that the traffic flow model is built on the basis of the Oskolkov system of equations, which generalize the Navier–Stokes system. Here, in addition to the viscosity and incompressibility of the flow, elasticity is taken into account, due to which the retardation effect inherent in viscoelastic incompressible fluids appears.
Keywords: Oskolkov equation, geometric graph, traffic flows.
Received: 06.11.2021
Document Type: Article
UDC: 517.9
Language: English
Citation: A. S. Konkina, A. A. Mukhametyarova, “Macro model of transport flow at the crossroads”, J. Comp. Eng. Math., 8:4 (2021), 37–44
Citation in format AMSBIB
\Bibitem{KonMuk21}
\by A.~S.~Konkina, A.~A.~Mukhametyarova
\paper Macro model of transport flow at the crossroads
\jour J. Comp. Eng. Math.
\yr 2021
\vol 8
\issue 4
\pages 37--44
\mathnet{http://mi.mathnet.ru/jcem203}
\crossref{https://doi.org/10.14529/jcem210405}
Linking options:
  • https://www.mathnet.ru/eng/jcem203
  • https://www.mathnet.ru/eng/jcem/v8/i4/p37
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Journal of Computational and Engineering Mathematics
    Statistics & downloads:
    Abstract page:66
    Full-text PDF :52
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024