Abstract
Vehicular traffic flow belongs to the category of transport processes, and it can be studied at different levels: by phenomenological or continuum description, by a microscopic approach or kinetic theory, or by direct numerical experiment. In the present study we try to find interrelations between the different levels using, as an example, a numerical simulation of steady/homogeneous flow and of unsteady wave propagation. Similarities are found between the present results and solutions of the Burgers-Korteweg-deVries equation. Numerical simulation is also useful as a guide for the development of a kinetic theory. Such a kinetic model is presented which considers clustering and includes the desired speed of the ensemble of vehicles.
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© 1986 D. Reidel Publishing Company
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Beylich, A.E. (1986). On the Modelling of Vehicular Traffic Flow. In: Kilmister, C.W. (eds) Disequilibrium and Self-Organisation. Mathematics and Its Applications, vol 30. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-4718-4_5
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DOI: https://doi.org/10.1007/978-94-009-4718-4_5
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-8598-4
Online ISBN: 978-94-009-4718-4
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