Abstract
In the present paper a general criticism of kinetic equations for vehicular traffic is given. The necessity of introducing an Enskog-type correction into these equations is shown. An Enskog-like kinetic traffic flow equation is presented and fluid dynamic equations are derived. This derivation yields new coefficients for the standard fluid dynamic equations of vehicular traffic. Numerical simulations for inhomogeneous traffic flow situations are shown together with a comparison between kinetic and fluid dynamic models.
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Klar, A., Wegener, R. Enskog-like kinetic models for vehicular traffic. J Stat Phys 87, 91–114 (1997). https://doi.org/10.1007/BF02181481
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DOI: https://doi.org/10.1007/BF02181481