【作者】 岑炳玲； 王艺； 乔延峰； 薛郁；

【Author】 Cen Bing-ling;Xue Yu;Qiao Yan-feng;Wang Yi;Institute of Physical Science and Technology, Guangxi University;

【机构】 广西大学物理科学与工程技术学院；

【摘要】 本文在建立上下坡优化速度模型的基础上,考虑宏微观变量的转换关系,导出宏观交通流流体力学方程。通过分析特征速度值大小,确定了交通流动力方程的各向异性。通过稳定性分析,得出交通系统的稳定条件,发现在一定的坡度范围内(0≤θ≤π/15),增加上坡或减少下坡坡度可以增强交通的稳定性。最后对该方程运用迎风格式离散,数值模拟验证上坡和下坡坡度大小对交通流拥堵的影响,结果表明当上坡坡度大于或等于下坡时,交通密度波被抑制。更多还原

【Abstract】 In this paper, we derive a macroscopic hydrodynamic model from the microscopic car-following model considering the uphill and downhill gradient by introducing the transformational relation of macroscopic model and microscopic model. By analyzing the eigenvalue of the traffic flow hydrodynamic equation, the anisotropy of the equation is determined. Carry out stability analysis and determine the stability condition of the new model, find that increase the uphill slope or decrease the downhill slope can reinforce stability of traffic flow with a certain slope range(0 ≤ pi ≤ pi/15). Though simulations, validated the influence of the angle of uphill and downhill on traffic flow. More importantly, we discuss the affection of the angle of continuum slope on traffic flow, find that the density fluctuation is dampened when the uphill slope is greater than or equal to the downhill slope.更多还原