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吴正. 关于交通流中扰动传播和发展的数值模拟[J]. 力学学报, 2006, 38(6): 785-791. DOI: 10.6052/0459-1879-2006-6-2005-392
引用本文: 吴正. 关于交通流中扰动传播和发展的数值模拟[J]. 力学学报, 2006, 38(6): 785-791. DOI: 10.6052/0459-1879-2006-6-2005-392
Zheng Wu. On the numerical simulation of perturbation's propagation and development in traffic flow[J]. Chinese Journal of Theoretical and Applied Mechanics, 2006, 38(6): 785-791. DOI: 10.6052/0459-1879-2006-6-2005-392
Citation: Zheng Wu. On the numerical simulation of perturbation's propagation and development in traffic flow[J]. Chinese Journal of Theoretical and Applied Mechanics, 2006, 38(6): 785-791. DOI: 10.6052/0459-1879-2006-6-2005-392

关于交通流中扰动传播和发展的数值模拟

On the numerical simulation of perturbation's propagation and development in traffic flow

  • 摘要: 针对不同拥挤程度交通流中扰动的传播和发展,进行了系统的数值模拟研究.讨论了PW模型、一维管流模型、单侧传播模型等几种典型交通流模型的不同特征;指出了不同差分格式对数值结果的影响;也分析了数学模型中不同形式的平衡函数的作用. 结果发现在适当的数学模型、平衡函数和离散格式下,能够对交通流中扰动的传播和发展,特别是扰动波的传播速度,取得与实际测量数据相当接近的模拟效果. 建议了分别适用于不同密度交通流的计算格式.

     

    Abstract: The propagation and development of perturbations in variousdensity traffic flows are numerically simulated. The studies include thecharacteristics of some traffic flow models such as PW model, 1-d pipe fluidmodel and the unilateral propagation model, the effects of equilibriumfunctions in the models, and the influences of difference schemes on thenumerical results. It is found that we can obtain results quite close to the measured data by using the appropriate traffic model, equilibrium function anddifference scheme for the traffic perturbation problems, especially thepropagation speed of the perturbation waves. A group of calculation schemessuitable to various density traffic flows are proposed.

     

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