A Navier-Stokes-like traffic model
C. Wagner
Physica A: Statistical Mechanics and its Applications, 1997, vol. 245, issue 1, 124-138
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.
Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:245:y:1997:i:1:p:124-138
DOI: 10.1016/S0378-4371(97)00182-9
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