A fluid-dynamic traffic model on road networks

Gabriella Bretti, Roberto Natalini, Benedetto Piccoli

Research output: Contribution to journalArticle

14 Scopus citations

Abstract

We consider a mathematical model for fluid-dynamic flows on networks which is based on conservation laws. Road networks are studied as graphs composed by arcs that meet at some nodes, corresponding to junctions, which play a key-role. Indeed interactions occur at junctions and there the problem is underdetermined. The approximation of scalar conservation laws along arcs is carried out by using conservative methods, such as the classical Godunov scheme and the more recent discrete velocities kinetic schemes with the use of suitable boundary conditions at junctions. Riemann problems are solved by means of a simulation algorithm which processes each junction. We present the algorithm and its application to some simple test cases and to portions of urban network.

Original languageEnglish (US)
Pages (from-to)139-172
Number of pages34
JournalArchives of Computational Methods in Engineering
Volume14
Issue number2
DOIs
StatePublished - Jun 1 2007
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Applied Mathematics
  • Computer Science Applications

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