Interactions of waves in the speed-gradient traffic flow model

T.Q. Tang, Hai-Jun Huang (), Z.Y. Gao and S.C. Wong

Physica A: Statistical Mechanics and its Applications, 2007, vol. 380, issue C, 481-489

Abstract: In this paper, we use the speed-gradient (SG) model proposed by Jiang et al. [Transportation Research Part B, 36 (2002) 405–419] to study the initial value problem of traffic flow. The evolution of multi-traffic waves is examined through setting piecewise continuous initial density. Numerical results show that distinct shocks and smooth transition layers appear instantaneously for some initial densities, and the shock front is smoothed by the smooth transition layer ahead of or behind it if, in the initial density, the length of shock section or the length of lower-density section before the shock is very short. We thus verify that the SG model can satisfyingly reproduce the evolution of multi-traffic waves with various initial densities.

Keywords: Traffic flow; Partial differential equation; Initial value problem; Shock wave; Smooth transition layer (search for similar items in EconPapers)
Date: 2007
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:380:y:2007:i:c:p:481-489

DOI: 10.1016/j.physa.2007.02.056

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