Modelling and simulation  of vehicular traffic jam formation

Pierre Degond; Marcello Delitala

doi:10.3934/krm.2008.1.279

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2008, Volume 1, Issue 2: 279-293. Doi: 10.3934/krm.2008.1.279

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Modelling and simulation of vehicular traffic jam formation

Pierre Degond^1, and
Marcello Delitala^2,

1.
MIP UMR 5640, Université Paul Sabatier, Toulouse
2.
Department of Mathematics, Politecnico di Torino

Received: February 29, 2008

Revised: February 29, 2008

Published: May 2008

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Abstract

This paper deals with the modelling and simulation of traffic flow phenomena at the macroscopic level, based on a suitable development of the Aw-Rascle model, [2], and its modification, [4], [5]. An acceleration term and a minimal velocity--dependent safety distance are introduced in the evolution equations. Then, an eulerian computational scheme is introduced to simulate the formation and evolution of jams. The results are compared with those obtained in [4], where a lagrangian computational method was used instead.

Keywords:

Traffic flow simulations; hyperbolic equations; Eulerian computational model; Lagrangian computational model.

Mathematics Subject Classification: Primary: 76P05.

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