Name
Abstract | ||
|---|---|---|
We present a new. uid- dynamical model of tra. c. ow. This model generalizes the model of Aw and Rascle [SIAM J. Appl. Math., 60 (2000), pp. 916 - 938] and Greenberg [SIAM J. Appl. Math., 62 (2001), pp. 729 - 745] by prescribing a more general source term to the velocity equation. This source term can be physically motivated by experimental data, when taking into account relaxation and reaction time. In particular, the new model has a (linearly) unstable regime as observed in traffic dynamics. We develop a numerical code that solves the corresponding system of balance laws. Applying our code to a wide variety of initial data, we find the observed inverse-. shape of the fundamental diagram of traffic flow.. |
Year | DOI | Venue |
|---|---|---|
2006 | 10.1137/050627113 | SIAM JOURNAL ON APPLIED MATHEMATICS |
Keywords | Field | DocType |
macroscopic traffic model,instability,system of balance laws,high-resolution shock-capturing schemes | Fundamental diagram of traffic flow,Traffic flow,Mathematical analysis,Instability,Traffic dynamics,Mathematics | Journal |
Volume | Issue | ISSN |
66 | 4 | 0036-1399 |
Citations | PageRank | References |
17 | 1.33 | 3 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Florian Siebel | 1 | 18 | 1.69 |
| Wolfram Mauser | 2 | 17 | 1.66 |