交通流数值模拟

Zbornik Radova Pub Date : 2023-11-22 DOI:10.32762/zr.26.1.9
Ivka Brkić, Bojan Crnković
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引用次数: 0

摘要

本文讨论了用双曲微分方程描述交通流的概念。本文采用 Lighthill-Whitham-Richards 模型(LWR 模型)来描述交通流。该模型使用两个参数来描述交通流--车辆密度和平均速度。LWR 模型的数值近似是通过标量守恒定律制定的。数值计算采用有限体积法。对交通流中冲击波和稀释波的传播进行了描述。本文的重点是通过流体动力学模型对带有红绿灯的单条道路的交通流进行数值模拟。本文获得的结果与之前的研究结果进行了比较。
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Numerička simulacija prometnog toka
The paper discusses the concept of traffic flow described by hyperbolic differential equations. In this paper the Lighthill-Whitham-Richards model (LWR model) is used to describe traffic flow. The said model uses two parameters to describe the traffic flow – density and average speed of vehicles. Numerical approximation of the LWR model is formulated through scalar conservation laws. The finite volume method is used for numerical results. The term of shock wave and propagation of rarefaction wave in traffic flow are described. This paper focuses on numerical simulation of traffic flow via fluid dynamics model for a single road with a traffic light. The results obtained in this paper are compared with previous studies.
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