Fluid Mechanical approach to car traffic flow is characterized by the occurrence of traffic shock wave(s). The fundamental diagram is assumed to be parabolic, and a kind of stream function is introduced to give an analytical expression for various flow fields. Interaction of two shocks results in the lambda-type configuration in the space-time diagram; two examples are shown for (1) the flow near a narrowing from a two-to-one-lane road, and (2) the delay due to an unequal duration of a red signal. Two consecutive signals with different red-green ratios give an example of the interaction of two lambda-type shocks, and the transition from 'I'-type to 'H'-type configuration is shown. As an exceptional case, two lambda-type shocks merge into a four-shock configuration, in which car trajectory on either side of the critical one crosses three or one shocks instead of two each. (DePo)
Interaction of shock waves in traffic flow
Wechselwirkung von Schockwellen in einem Verkehrsfluss
1977
10 Seiten, 10 Bilder, 3 Quellen
Conference paper
English
European Patent Office | 2024
|Review of Interaction of Shock Waves
Online Contents | 1995
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