Continuum modelling of traffic dynamics for congested freeways
Continuum modelling of traffic dynamics for congested freeways
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DOI：
10.1016/0191-2615(93)90041-8
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发表时间：
1993-08
影响因子：
6.8
通讯作者：
P. Michalopoulos;P. Yi;A. Lyrintzis
中科院分区：
文献类型：
--
作者：
P. Michalopoulos;P. Yi;A. Lyrintzis
本文研究先进的连续模型描述拥挤流的交通动力学。首先，现有的高阶模型进行了回顾和讨论，并提出了一个新的配方，它不需要使用一个平衡的速度密度关系。（当模型同时包含质量和动量守恒时，它就是高阶模型。）交通摩擦在中断的流量和不断变化的几何形状也解决了通过使用的粘度项。然后，通过两个可选的数值方案离散化的模型，以检查实施的有效性。进行稳定性分析，以建立模型参数的数值限值。最后，在两个测试情况下，拥挤和不拥挤的现场数据，新的模型与现有的模型进行了比较，这种比较表明，所提出的模式是更准确，计算效率更高。
This paper investigates advanced continuum models for describing traffic dynamics at congested flows. First, the existing high-order models are reviwed and discussed, and a new formulation is proposed which does not require the use of an equilibrium speed-density relationship. (A model is of high-order when it includes both mass and momentum conservation.) Traffic friction at interrupted flows and changing geometries is also addressed through the use of a viscosity term. The model is then discretized through two alternative numerical schemes to examine the effectiveness of the implementation. Stability analysis is performed to set up numerical limits of the model parameters. Finally, in two test cases with congested and uncongested field data, the new model is compared with the existing models; this comparison suggests that the proposed mode is more accurate and computationally more efficient.