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Unstable flow theory and modeling

Sopasakis, Alexandros LU (2002) In Mathematical and Computer Modelling 35(5-6). p.623-641
Abstract
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.
Please use this url to cite or link to this publication:
author
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Vehicular traffic, Unstable flow, Chapman-Enskog expansion, Prigogine-Herman model
in
Mathematical and Computer Modelling
volume
35
issue
5-6
pages
623 - 641
publisher
Elsevier
external identifiers
  • scopus:0036171703
ISSN
0895-7177
DOI
10.1016/S0895-7177(02)80025-5
language
English
LU publication?
no
id
eaf633fa-9920-4fa6-8e31-15a6a8c32ada (old id 2201870)
date added to LUP
2012-01-01 18:05:35
date last changed
2017-01-01 05:05:14
@article{eaf633fa-9920-4fa6-8e31-15a6a8c32ada,
  abstract     = {We use linear stability analysis to develop a theory which can predict traffic flow<br/><br>
behavior for the unstable flow regime of concentrations. The equilibrium solution of the kinetic<br/><br>
equation of Prigogine and Herman is used to obtain closed form models of traffic flow, when<br/><br>
viewed under asymptotic (Chapman-Enskog) limit expansions, since it can produce reasonable<br/><br>
flows for the whole range of concentrations. A zeroth-order Chapman-Enskog model is found for<br/><br>
this range. The Godunov scheme is used to solve this model under a traffic release type of initial<br/><br>
condition.},
  author       = {Sopasakis, Alexandros},
  issn         = {0895-7177},
  keyword      = {Vehicular traffic,Unstable flow,Chapman-Enskog expansion,Prigogine-Herman model},
  language     = {eng},
  number       = {5-6},
  pages        = {623--641},
  publisher    = {Elsevier},
  series       = {Mathematical and Computer Modelling},
  title        = {Unstable flow theory and modeling},
  url          = {http://dx.doi.org/10.1016/S0895-7177(02)80025-5},
  volume       = {35},
  year         = {2002},
}