期刊
TRANSPORTATION RESEARCH PART B-METHODOLOGICAL
卷 43, 期 5, 页码 562-574出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.trb.2008.10.001
关键词
Hyperbolic conservation laws; Physically bounded solution; Unstable equilibrium; Stop-and-go waves
类别
资金
- National Natural Science Foundation of China [70629001, 10771134, 10532060]
- National Basic Research Program of China [2006CB705500]
- Research Grants Council of the Hong Kong Special Administrative Region of China [HKU7031/02E]
- University of Hong Kong [10207394]
This paper takes into account three regimes for the description of traffic dynamics, which include the introduction of a pseudo-density transformed from the velocity, the pressure as a function of the pseudo-density and the relaxation of velocity to equilibrium. The resultant characteristic variables can be used to measure the deviation of the phase state to a desired state and derive physically bounded solutions. Taking the pseudo-density as a conserved variable, the approach is able to describe both equilibrium and non-equilibrium flows in a systematic and unified manner, and thus complex traffic phenomena. The theoretical properties of the model are thoroughly investigated, and numerical examples are used to demonstrate the ability of the model to reproduce some notable traffic phenomena. (C) 2008 Elsevier Ltd. All rights reserved.
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