ENSKOG-LIKE KINETIC-MODELS FOR VEHICULAR TRAFFIC

Authors
Citation
A. Klar et R. Wegener, ENSKOG-LIKE KINETIC-MODELS FOR VEHICULAR TRAFFIC, Journal of statistical physics, 87(1-2), 1997, pp. 91-114
Citations number
27
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
ISSN journal
00224715
Volume
87
Issue
1-2
Year of publication
1997
Pages
91 - 114
Database
ISI
SICI code
0022-4715(1997)87:1-2<91:EKFVT>2.0.ZU;2-Z
Abstract
In the present paper a general criticism of kinetic equations for vehi cular traffic is given. The necessity of introducing an Enskog-type co rrection into these equations is shown. An Enskog-like kinetic traffic flow equation is presented and fluid dynamic equations are derived. T his derivation yields new coefficients for the standard fluid dynamic equations of vehicular traffic. Numerical simulations for inhomogeneou s traffic now situations are shown together with a comparison between kinetic and fluid dynamic models.