粘性扩散交通流模型的宏观分析

IF 0.4 Q4 MATHEMATICS, APPLIED Mathematics in applied sciences and engineering Pub Date : 2022-07-09 DOI:10.5206/mase/14626
Gabriel Obed Fosu, A. Adu-Sackey, J. Ackora-Prah
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引用次数: 0

摘要

二阶宏观交通模型由连续性方程和加速度方程表征。对流、预期、松弛、扩散和粘性是不同类别加速度方程的主要特征。作为一种独特的方法,本文提出了一种新的宏观模型,该模型考虑了所有这些动态速度量。这样做是为了确定这些交通量在宏观建模中的集体作用。对所提出的模型进行了数值求解,以解释多车道交通流的一些现象。它还包括线性稳定性分析。此外,还给出了在某些参数扰动下速度和密度波剖面的演化过程。
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Macroscopic Analysis Of The Viscous-Diffusive Traffic Flow Model
Second-order macroscopic traffic models are characterized by a continuity equation and an acceleration equation. Convection, anticipation, relaxation, diffusion, and viscosity are the predominant features of the different classes of the acceleration equation. As a unique approach, this paper presents a new macro-model that accounts for all these dynamic speed quantities. This is done to determine the collective role of these traffic quantities in macroscopic modeling. The proposed model is solved numerically to explain some phenomena of a multilane traffic flow.  It also includes a linear stability analysis. Furthermore, the evolution of speed and density wave profiles are presented under the perturbation of some parameters.
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来源期刊
CiteScore
1.40
自引率
0.00%
发文量
0
审稿时长
21 weeks
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