| Title | Unstable flow theory and modeling |
| Authors | Alexandros Sopasakis |
| Alternative Location | http://dx.doi.org/10.1016/S..., Restricted Access |
| Publication | Mathematical and Computer Modelling |
| Year | 2002 |
| Volume | 35 |
| Issue | 5-6 |
| Pages | 623 - 641 |
| Document type | Article |
| Status | Published |
| Quality controlled | Yes |
| Language | eng |
| Publisher | Elsevier |
| Abstract English | We use linear stability analysis to develop a theory which can predict traffic flow<br> behavior for the unstable flow regime of concentrations. The equilibrium solution of the kinetic<br> equation of Prigogine and Herman is used to obtain closed form models of traffic flow, when<br> viewed under asymptotic (Chapman-Enskog) limit expansions, since it can produce reasonable<br> flows for the whole range of concentrations. A zeroth-order Chapman-Enskog model is found for<br> this range. The Godunov scheme is used to solve this model under a traffic release type of initial<br> condition. |
| Keywords | Vehicular traffic, Unstable flow, Chapman-Enskog expansion, Prigogine-Herman model, |
| ISBN/ISSN/Other | ISSN: 1872-9479 (online) |
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