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A Navier-Stokes-like traffic model

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  • Wagner, C.

Abstract

In a previous paper (C. Wagner et al., Phys. Rev. E 54 (1996) 5073), we derived a macroscopic traffic model from a Boltzmann-like equation by neglecting third- and higher-order cumulants. To find higher-order approximations, we now employ a Chapman-Enskog expansion to calculate the third-order cumulants. These skewness terms are then expressed in terms of the lower-order cumulants and their derivatives, thus leading to a Navier-Stokes-like model similar to classical hydrodynamics.

Suggested Citation

  • Wagner, C., 1997. "A Navier-Stokes-like traffic model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 245(1), pages 124-138.
    • Handle: RePEc:eee:phsmap:v:245:y:1997:i:1:p:124-138
    DOI: 10.1016/S0378-4371(97)00182-9
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    References listed on IDEAS

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    1. Michalopoulos, Panos G. & Yi, Ping & Lyrintzis, Anastasios S., 1993. "Continuum modelling of traffic dynamics for congested freeways," Transportation Research Part B: Methodological, Elsevier, vol. 27(4), pages 315-332, August.
    2. P. K. Munjal & L. A. Pipes, 1971. "Propagation of On-Ramp Density Waves on Uniform Unidirectional Multilane Freeways," Transportation Science, INFORMS, vol. 5(4), pages 390-402, November.
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    Cited by:

    1. Cen, Bing-ling & Xue, Yu & Xia, Yu-xian & Zhang, Kun & Zhou, Ji, 2024. "Analysis of the macroscopic effect of a driver’s desired velocity on traffic flow characteristics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 637(C).

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