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Unstable flow theory and modeling

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Author

Summary, in English

We use linear stability analysis to develop a theory which can predict traffic flow

behavior for the unstable flow regime of concentrations. The equilibrium solution of the kinetic

equation of Prigogine and Herman is used to obtain closed form models of traffic flow, when

viewed under asymptotic (Chapman-Enskog) limit expansions, since it can produce reasonable

flows for the whole range of concentrations. A zeroth-order Chapman-Enskog model is found for

this range. The Godunov scheme is used to solve this model under a traffic release type of initial

condition.

Publishing year

2002

Language

English

Pages

623-641

Publication/Series

Mathematical and Computer Modelling

Volume

35

Issue

5-6

Document type

Journal article

Publisher

Elsevier

Topic

  • Mathematics

Keywords

  • Vehicular traffic
  • Unstable flow
  • Chapman-Enskog expansion
  • Prigogine-Herman model

Status

Published

ISBN/ISSN/Other

  • ISSN: 0895-7177