A Lagrangian approach for modeling road collisions using second-order models of traffic flow

Salissou Moutari, Michael Herty

Research output: Contribution to journalArticle

3 Citations (Scopus)
201 Downloads (Pure)

Abstract

In [M. Herty, A. Klein, S. Moutari, V. Schleper, and G. Steinaur, IMA J. Appl. Math., 78(5), 1087–1108, 2013] and [M. Herty and V. Schleper, ZAMM J. Appl. Math. Mech., 91, 763–776, 2011], a macroscopic approach, derived from fluid-dynamics models, has been introduced to infer traffic conditions prone to road traffic collisions along highways’ sections. In these studies, the governing equations are coupled within an Eulerian framework, which assumes fixed interfaces between the models. A coupling in Lagrangian coordinates would enable us to get rid of this (not very realistic) assumption. In this paper, we investigate the well-posedness and the suitability of the coupling of the governing equations within the Lagrangian framework. Further, we illustrate some features of the proposed approach through some numerical simulations.
Original languageEnglish
Pages (from-to)1239-1256
Number of pages18
JournalCommunications in Mathematical Sciences
Volume12
Issue number7
DOIs
Publication statusPublished - 2014

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