Unstable flow theory and modeling
(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:
https://lup.lub.lu.se/record/2201870
- author
- Sopasakis, Alexandros LU
- publishing date
- 2002
- 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
- 2016-04-01 12:22:25
- date last changed
- 2022-02-26 06:11:31
@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}}, keywords = {{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}}, doi = {{10.1016/S0895-7177(02)80025-5}}, volume = {{35}}, year = {{2002}}, }