Macroscopic Simulation of Pedestrian Flow through a Bottleneck
Macroscopic Simulation of Pedestrian Flow through a Bottleneck
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DOI：
10.4028/www.scientific.net/amm.97-98.1168
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发表时间：
2011-09
期刊：
影响因子：
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通讯作者：
Yanqun Jiang;Peng Zhang
中科院分区：
文献类型：
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作者：
Yanqun Jiang;Peng Zhang
本文研究了单向行人流通过有瓶颈通道的宏观型模型。行人流动的宏观模型是二维Lighthill-Whitham-理查兹模型，描述为质量守恒方程。行人路径选择的特征是行人在走廊中尽量减少瞬时旅行时间，提高舒适度。采用间断Galerkin方法对模型方程进行数值求解。数值结果表明，该模型能够较好地预测行人通过瓶颈通道的宏观特性，即速度和密度的空间分布，以及通道内交通拥堵的形成和消散。他们还验证了拥塞是由瓶颈的能力有限。
The paper deals with the macroscopic type modelling of the unidirectional pedestrian flow moving through a corridor with a bottleneck. The macroscopic model of pedestrian flow is the two-dimensional Lighthill-Whitham-Richards model described as a mass conservation equation. The characteristic feature of pedestrian route choice is that pedestrians in the corridor try to minimize the instantaneous travel time and improve the comfort level. The model equation is solved numerically by the discontinuous Galerkin method. Numerical results visualize the ability of the model to predict macroscopic characteristics of pedestrian flow through bottlenecks, i.e. the spatial distribution of the flow speed and density, as well as the formation and dissipation of traffic congestion in the corridor. They also validate that congestion is caused by the limited capacity of the bottleneck.