Abstract: We review current progress and challenges in modeling of nonlinear phenomena in trac ow. We are particularly interested in the nonlinear dynamics of trac jams: the transition to instabilities of trac ow, the formation of trac jams and the evolution of the trac jams. A discrete dynamic system approach is proposed. The selforganized oscillatory behavior and chaotic behavior in trac are identie d and formulated. The results can help to explain the appearance of a phantom trac jam observed in real trac. It is also proved that coarser resolution results in richer dynamics of the trac ow including trac jams. This is exactly what the numerical simulations showed. It is clear that the spatial and temporal resolution ae cts trac variable and assumptions in a considerable way. Continuum models run into the limits of describing discrete phenomena in a continuous way. Therefore a combination of continuum and discrete descriptions will be necessary to further improve and declare specic trac phenomena.
Publication Year: 2007
Publication Date: 2007-01-01
Language: en
Type: article
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