Modelling road traffic accidents using macroscopic second-order models of traffic flow

Salissou Moutari, M. Herty, A. Klein, M. Oeser, B. Steinauer, V. Schleper

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)


In this paper, we introduce a macroscopic model for road traffic accidents along highway sections. We discuss the motivation and the derivation of such a model, and we present its mathematical properties. The results are presented by means of examples where a section of a crowded one-way highway contains in the middle a cluster of drivers whose dynamics are prone to road traffic accidents. We discuss the coupling conditions and present some existence results of weak solutions to the associated Riemann Problems. Furthermore, we illustrate some features of the proposed model through some numerical simulations. © The authors 2012.
Original languageEnglish
Pages (from-to)1087-1108
Number of pages22
JournalIMA Journal of Applied Mathematics
Issue number5
Early online date17 Jul 2012
Publication statusPublished - Oct 2013


  • macroscopic traffic flow models
  • accident modelling
  • second-order models

ASJC Scopus subject areas

  • Applied Mathematics


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